examples/Implement_TSM_Example.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Temperature Simulation Module - Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### This notebook will introduce users to the Temperature Simulation Module TSM and familiarize them with the module architecture, inputs, and outputs. It will demonstrate how different types of variables are defined and then connected to the module's computational engine. TSM is built in an object-oriented framework. The module engine, which calculates the temperature change for a given timestep, is based on a parent-class titled `Model`. Module inputs are class attributes, and functions that update the input values are class methods.\n",
    "\n",
    "##### These modules are designed to compute fluxes for a single computation cell, which is assumed to be completely homogeneous. The dimensions of the cell, such as depth, volume, and surface area, are defined in this example as inputs for the modules. When implemented with a hydrodynamic model, cell dimensions will be pulled from the hydrodynamic model.   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Installation and Setup\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Import Python Dependancies"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This step will load in the entire clearwater modules library, which has all the source code necessary to run the modules, including the various python dependencies used to make the calculations, such as numpy and xarray.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "import clearwater_modules as cwm\n",
    "import clearwater_modules.sorter as sorter\n",
    "import random\n",
    "import warnings\n",
    "import xarray as xr\n",
    "warnings.filterwarnings(\"ignore\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### If you get `ModuleNotFoundError`:\n",
    "\n",
    "If you get this error:\n",
    "```python\n",
    "ModuleNotFoundError: No module named 'clearwater_modules'\n",
    "```\n",
    "Then:\n",
    "1. Run the following terminal command with your local absolute path to this repo.\n",
    "    - NOTE: Here we use Jupyter `!` magic command to run from the terminal via this notebook. \n",
    "2. Restart the kernel.\n",
    "3. Rerun the import statements above.\n",
    "\n",
    "See [4. Add your `ClearWater-modules-python` Path to Miniconda/Anaconda sites-packages](..ReadMe.md#4-add-your-clearwater-modules-python-path-to-minicondaanaconda-sites-packages)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Importing the `clearwater_modules` repository will automatically run the `base.py` file that defines the `Model` class. It will also define a child of that class called the `EnergyBudget` class, which is defined in the `model.py` file. This class has the same functionality of the general `Model` class, but has attributes and methods for the expected inputs for TSM. The TSM inputs are broken down into two dictionaries, which are titled `Meteorological` and `Temperature`. The `EnergyBudget` class intitializes the TSM inputs with default values and sets them as class attributes for instances of the `EnergyBudget` class.\n",
    "\n",
    "The default TSM values are defined in the TSM `constants.py` file, which is imported with `cwm`. Run the following cell to make sure that the TSM subfolder from the `clearwater_modules` repository successfully imports. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['EnergyBudget',\n",
       " '__builtins__',\n",
       " '__cached__',\n",
       " '__doc__',\n",
       " '__file__',\n",
       " '__loader__',\n",
       " '__name__',\n",
       " '__package__',\n",
       " '__path__',\n",
       " '__spec__',\n",
       " 'constants',\n",
       " 'dynamic_variables',\n",
       " 'model',\n",
       " 'processes',\n",
       " 'state_variables',\n",
       " 'static_variables']"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Confirm that tsm sub-modules are imported\n",
    "dir(cwm.tsm)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Run the following cell to view the default values for the TSM constants. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Default Temperature Constants:\n",
      "{'stefan_boltzmann': 5.67e-08, 'cp_air': 1005.0, 'emissivity_water': 0.97, 'gravity': -9.806, 'a0': 6984.505294, 'a1': -188.903931, 'a2': 2.133357675, 'a3': -0.01288580973, 'a4': 4.393587233e-05, 'a5': -8.023923082e-08, 'a6': 6.136820929e-11, 'pb': 1600.0, 'cps': 1673.0, 'h2': 0.1, 'alphas': 0.0432, 'richardson_option': True, 'dt': 1}\n",
      "Default Meteorological Constants:\n",
      "{'air_temp_c': 20.0, 'q_solar': 400.0, 'sed_temp_c': 5.0, 'eair_mb': 1.0, 'pressure_mb': 1013.0, 'cloudiness': 0.1, 'wind_speed': 3.0, 'wind_a': 0.3, 'wind_b': 1.5, 'wind_c': 3.0, 'wind_kh_kw': 1.0}\n"
     ]
    }
   ],
   "source": [
    "print(\"Default Temperature Constants:\")\n",
    "print(cwm.tsm.constants.DEFAULT_TEMPERATURE)\n",
    "print(\"Default Meteorological Constants:\")\n",
    "print(cwm.tsm.constants.DEFAULT_METEOROLOGICAL)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Similar to the module-engine, the input variables are defined as class instances. These instances are defined in the `static_variables.py` file. Whereas the Temperature and Meteorological dictionaries set the actual values for the TSM inputs, the static variable class instances define how these values will be passed around in the model. As suggested by the word static, once set by the dictionaries, the values do not change throughout the model run. Run the code below to view the static variables used in the TSM module. You will notice that `static_variables.py` has definitions for all the variables assigned values by the Temperature and Meteorological dictionaries. You will also see at the top of the file a decorator above the class definition that calls a function called `register_variable`. This function links these variables to the `EnergyBudget` model.       "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "import clearwater_modules.base as base\n",
      "from clearwater_modules.tsm.model import EnergyBudget\n",
      "\n",
      "\n",
      "@base.register_variable(models=EnergyBudget)\n",
      "class Variable(base.Variable):\n",
      "    ...\n",
      "# TODO: verify all these values\n",
      "\n",
      "\n",
      "Variable(\n",
      "    name='use_sed_temp',\n",
      "    long_name='Use Sediment Temperature?',\n",
      "    units='boolean',\n",
      "    description='Controls whether to use/calculate sediment temperature or not.',\n",
      "    use='static',\n",
      ")\n",
      "\n",
      "Variable(\n",
      "    name='stefan_boltzmann',\n",
      "    long_name='Stefan-Boltzmann Constant',\n",
      "    units='W m-2 K-4',\n",
      "    description='The Stefan-Boltzmann constant.',\n",
      "    use='static',\n",
      ")\n",
      "\n",
      "Variable(\n",
      "    name='cp_air',\n",
      "    long_name='Specific Heat Capacity of Air',\n",
      "    units='J kg-1 K-1',\n",
      "    description='The specific heat capacity of air.',\n",
      "    use='static',\n",
      ")\n",
      "\n",
      "Variable(\n",
      "    name='emissivity_water',\n",
      "    long_name='Emissivity of Water',\n",
      "    units='1',\n",
      "    description='The emissivity of water.',\n",
      "    use='static',\n",
      ")\n",
      "\n",
      "Variable(\n",
      "    name='gravity',\n",
      "    long_name='Gravity',\n",
      "    units='m s-2',\n",
      "    description='The acceleration due to gravity.',\n",
      "    use='static',\n",
      ")\n",
      "\n",
      "Variable(\n",
      "    name='a0',\n",
      "    long_name='Albedo of Water',\n",
      "    units='unitless',\n",
      "    description='The albedo of water.',\n",
      "    use='static',\n",
      ")\n",
      "\n",
      "Variable(\n",
      "    name='a1',\n",
      "    long_name='Albedo of Water',\n",
      "    units='unitless',\n",
      "    description='The albedo of water.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='a2',\n",
      "    long_name='Albedo of Water',\n",
      "    units='unitless',\n",
      "    description='The albedo of water.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='a3',\n",
      "    long_name='Albedo of Water',\n",
      "    units='unitless',\n",
      "    description='The albedo of water.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='a4',\n",
      "    long_name='Albedo of Water',\n",
      "    units='unitless',\n",
      "    description='The albedo of water.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='a5',\n",
      "    long_name='Albedo of Water',\n",
      "    units='unitless',\n",
      "    description='The albedo of water.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='a6',\n",
      "    long_name='Albedo of Water',\n",
      "    units='unitless',\n",
      "    description='The albedo of water.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='pb',\n",
      "    long_name='Bulk Density of Sediment',\n",
      "    units='kg m-3',\n",
      "    description='The bulk density of sediment.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='cps',\n",
      "    long_name='CPS',\n",
      "    units='J kg-1 K-1',\n",
      "    description='The CPS.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='h2',\n",
      "    long_name='H2',\n",
      "    units='m',\n",
      "    description='The H2.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='alphas',\n",
      "    long_name='Alphas',\n",
      "    units='m-1',\n",
      "    description='The alphas.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='richardson_option',\n",
      "    long_name='Richardson Option',\n",
      "    units='unitless',\n",
      "    description='The Richardson option.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='air_temp_c',\n",
      "    long_name='Air Temperature',\n",
      "    units='C',\n",
      "    description='The air temperature.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='q_solar',\n",
      "    long_name='Solar Heat Flux',\n",
      "    units='W m-2',\n",
      "    description='The solar heat flux.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='sed_temp_c',\n",
      "    long_name='Sediment Temperature',\n",
      "    units='C',\n",
      "    description='The sediment temperature.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='eair_mb',\n",
      "    long_name='Vapor pressure',\n",
      "    units='mb',\n",
      "    description='Vapor pressure',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='pressure_mb',\n",
      "    long_name='Pressure',\n",
      "    units='mb',\n",
      "    description='The pressure.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='cloudiness',\n",
      "    long_name='Cloudiness',\n",
      "    units='unitless',\n",
      "    description='The cloudiness.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='wind_speed',\n",
      "    long_name='Wind Speed',\n",
      "    units='m s-1',\n",
      "    description='The wind speed.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='wind_a',\n",
      "    long_name='Wind A',\n",
      "    units='m s-1',\n",
      "    description='The wind A.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='wind_b',\n",
      "    long_name='Wind B',\n",
      "    units='m s-1',\n",
      "    description='The wind B.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='wind_c',\n",
      "    long_name='Wind C',\n",
      "    units='m s-1',\n",
      "    description='The wind C.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='wind_kh_kw',\n",
      "    long_name='Wind KH KW',\n",
      "    units='m s-1',\n",
      "    description='The wind KH KW.',\n",
      "    use='static',\n",
      ")\n",
      "Variable(\n",
      "    name='dt',\n",
      "    long_name='dt',\n",
      "    units='d',\n",
      "    description='calculation dt',\n",
      "    use='static',\n",
      ")\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "import os\n",
    "\n",
    "current_location = sys.path[0]\n",
    "static_variables_file = os.path.dirname(current_location) + '\\src\\clearwater_modules\\\\tsm\\static_variables.py'\n",
    "\n",
    "with open(static_variables_file) as f:\n",
    "    print(f.read())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `state_variables.py` file instatiates the variable for water temperature (`TwaterC`), surface area, and volume. The state variables are treated differently because their values will be updated at every computational timestep. These variables are designed to be passed back and forth between the TSM module and a hydrodynamic model, and their values will change at every timestep based on the transport taking place in the linked hydrodynamic model. For `TwaterC`, the value will also change based on computations made in `clearwater_modules`. As stated previously, this example notebook will provide inputs for these variables in a dictionary in order to run the model. However, the dictionary inputs are a simplification of linking to external models. Run the code below to view the state variable file. Notice that the state variables are linked to the `EnergyBudget` model using the decorator function. Also notice that the state variable instances have a property called `process`. This property allows the value of the variable instance to be updated using a function that shares the name of what is set equal to the `process` property.    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "import xarray as xr\n",
      "from clearwater_modules import base\n",
      "from clearwater_modules.tsm.model import EnergyBudget\n",
      "from clearwater_modules.tsm import processes\n",
      "\n",
      "\n",
      "@base.register_variable(models=EnergyBudget)\n",
      "class Variable(base.Variable):\n",
      "    \"\"\"TSM state variables.\"\"\"\n",
      "    ...\n",
      "\n",
      "Variable(\n",
      "    name='water_temp_c',\n",
      "    long_name='Water temperature',\n",
      "    units='degC',\n",
      "    description='TSM state variable for water temperature',\n",
      "    use='state',\n",
      "    process=processes.t_water_c,\n",
      ")\n",
      "\n",
      "# TODO: remove mock_equation\n",
      "\n",
      "def mock_surface_area(surface_area: xr.DataArray) -> xr.DataArray:\n",
      "    return surface_area\n",
      "\n",
      "def mock_volume(volume: xr.DataArray) -> xr.DataArray:\n",
      "    return volume\n",
      "\n",
      "\n",
      "Variable(\n",
      "    name='surface_area',\n",
      "    long_name='Surface area',\n",
      "    units='m^2',\n",
      "    description='Surface area',\n",
      "    use='state',\n",
      "    process=mock_surface_area,\n",
      ")\n",
      "Variable(\n",
      "    name='volume',\n",
      "    long_name='Volume',\n",
      "    units='m^3',\n",
      "    description='Volume',\n",
      "    use='state',\n",
      "    process=mock_volume,\n",
      ")\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "import os\n",
    "\n",
    "current_location = sys.path[0]\n",
    "state_variables_file = os.path.dirname(current_location) + '\\src\\clearwater_modules\\\\tsm\\state_variables.py'\n",
    "\n",
    "with open(state_variables_file) as f:\n",
    "    print(f.read())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `processes.py` file contains all of the functions required to compute the heat flux of a single cell. This is where the process functions that update the state variables are defined. However, there are many intermediate process functions that must be computed before calculating the water temperature change. These intermediate functions calculate `dynamic_variables`, which are used to calculate components of heat flux, which are ultimately added together to compute a total net heat flux. The total net heat flux is then used to compute the water temperature change. The graphic below shows the components of heat flux that are calculated in this module:     "
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Run the code below to view all the process functions that are required to compute the total net heat flux and water temperature change."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "import warnings\n",
      "import numba\n",
      "import numpy as np\n",
      "import xarray as xr\n",
      "from clearwater_modules.shared.processes import (\n",
      "    celsius_to_kelvin,\n",
      ")\n",
      "\n",
      "\n",
      "def air_temp_k(\n",
      "    air_temp_c: xr.DataArray,\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"Calculate air temperature (K).\n",
      "\n",
      "    Args:\n",
      "        air_temp_c: Air temperature (C)\n",
      "    \"\"\"\n",
      "    return celsius_to_kelvin(air_temp_c)\n",
      "\n",
      "\n",
      "def water_temp_k(\n",
      "    water_temp_c: xr.DataArray,\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"Calculate water temperature (K).\n",
      "\n",
      "    Args:\n",
      "        water_temp_c: Water temperature (C)\n",
      "    \"\"\"\n",
      "    return celsius_to_kelvin(water_temp_c)\n",
      "\n",
      "\n",
      "def mixing_ratio_air(\n",
      "    eair_mb: xr.DataArray,\n",
      "    pressure_mb: xr.DataArray,\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"Calculate air mixing ratio (unitless).\n",
      "\n",
      "    Args:\n",
      "        eair_mb: Vapour pressure of air (mb)\n",
      "        pressure_mb: Atmospheric pressure (mb)\n",
      "    \n",
      "    References: \n",
      "    \n",
      "    \"\"\"\n",
      "    return 0.622 * eair_mb / (pressure_mb - eair_mb)\n",
      "\n",
      "\n",
      "def density_air(\n",
      "    pressure_mb: xr.DataArray,\n",
      "    air_temp_k: xr.DataArray,\n",
      "    mixing_ratio_air: xr.DataArray,\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"Calculate air density (kg/m^3).\n",
      "\n",
      "    Args:\n",
      "        pressure_mb: Atmospheric pressure (mb)\n",
      "        air_temp_k: Air temperature (K)\n",
      "        mixing_ratio_air: Air mixing ratio (unitless)\n",
      "    \"\"\"\n",
      "    return (\n",
      "        0.348 *\n",
      "        (pressure_mb / air_temp_k) *\n",
      "        (1.0 + mixing_ratio_air) / (1.0 + 1.61 * mixing_ratio_air)\n",
      "\n",
      "    )\n",
      "\n",
      "def mf_density_water(\n",
      "    water_temp_c: xr.DataArray\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"\n",
      "    Compute density of water (kg/m3) as a function of water temperature (Celsius)\n",
      "    \"\"\"\n",
      "\n",
      "    # logger.debug(f'mf_density_water({water_temp_c:.2f})')\n",
      "\n",
      "    return (\n",
      "        999.973 *\n",
      "        (1.0 - (\n",
      "            (\n",
      "                (water_temp_c - 3.9863) *\n",
      "                (water_temp_c - 3.9863) *\n",
      "                (water_temp_c + 288.9414)\n",
      "            ) /\n",
      "            (\n",
      "                508929.2 *\n",
      "                (water_temp_c + 68.12963)\n",
      "            )\n",
      "        ))\n",
      "    )\n",
      "\n",
      "\n",
      "def mf_esat_mb(\n",
      "    water_temp_k: xr.DataArray,\n",
      "    a0: xr.DataArray,\n",
      "    a1: xr.DataArray,\n",
      "    a2: xr.DataArray,\n",
      "    a3: xr.DataArray,\n",
      "    a4: xr.DataArray,\n",
      "    a5: xr.DataArray,\n",
      "    a6: xr.DataArray,\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"\n",
      "    Compute the saturation vapor pressure as a function of water temperature (Kelvin)\n",
      "\n",
      "    Fitting parameters for vapor pressure are defined in:\n",
      "    Brutsaert (1982) Evaporation into the Atmosphere, p42.\n",
      "    \"\"\"\n",
      "\n",
      "    return (\n",
      "        a0 +\n",
      "        water_temp_k *\n",
      "        (\n",
      "            a1 +\n",
      "            water_temp_k *\n",
      "            (\n",
      "                a2 +\n",
      "                water_temp_k * (\n",
      "                    a3 +\n",
      "                    water_temp_k *\n",
      "                    (a4 + water_temp_k * (a5 + water_temp_k * a6))\n",
      "                )\n",
      "            )\n",
      "        )\n",
      "    )\n",
      "\n",
      "\n",
      "def mf_density_air_sat(\n",
      "    water_temp_k: xr.DataArray, \n",
      "    esat_mb: float, \n",
      "    pressure_mb: float\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"\n",
      "    Compute the density of saturated air at water surface temperature.\n",
      "\n",
      "    Parameters:\n",
      "        water_temp_k (float):        Water temperature (Kelvin)\n",
      "        esat_mb (float):        Saturation vapor pressure in millibars\n",
      "        pressure_mb (float):    Air pressure in millibars\n",
      "\n",
      "    Returns:\n",
      "        Density of saturated air at water surface temperature (kg/m3, float)\n",
      "    \"\"\"\n",
      "\n",
      "    # logger.debug(f'mf_density_air_sat({water_temp_k:.2f}, {esat_mb:.2f}, {pressure_mb:.2f})')\n",
      "\n",
      "    mixing_ratio_sat = 0.622 * esat_mb / (pressure_mb - esat_mb)\n",
      "    return 0.348 * (pressure_mb / water_temp_k) * (1.0 + mixing_ratio_sat) / (1.0 + 1.61 * mixing_ratio_sat)\n",
      "\n",
      "\n",
      "def ri_number(\n",
      "    gravity: xr.DataArray,\n",
      "    density_air: xr.DataArray,\n",
      "    density_air_sat: xr.DataArray,\n",
      "    wind_speed: xr.DataArray,\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"Calculates the Richardson Number.\n",
      "\n",
      "    Args:\n",
      "        gravity: Gravity (m/s2)\n",
      "        density_air: Density of air (kg/m3)\n",
      "        density_air_sat: Saturation density of air (kg/m3)\n",
      "        wind_speed: Wind speed (m/s)\n",
      "    \"\"\"\n",
      "    return (\n",
      "        gravity *\n",
      "        (density_air - density_air_sat) *\n",
      "        2.0 / (density_air * (wind_speed**2.0))\n",
      "    )\n",
      "\n",
      "\n",
      "def ri_function(\n",
      "    ri_number: xr.DataArray\n",
      ") -> np.ndarray:\n",
      "    \"\"\"Calculates the Richardson Function from the Richardson Number.\n",
      "    Richardson Number:\n",
      "        Unstable: 0.01 >= ri_function\n",
      "        Stable: 0.01 <= ri_function < 2\n",
      "        Neutral: -0.01 <  ri_function < 0.01\n",
      "    \"\"\"\n",
      "    warnings.filterwarnings(\"ignore\", category=RuntimeWarning)\n",
      "\n",
      "    # NOTE: conditions are evaluated in the order of the original code\n",
      "    # TODO: refactor into a single set of conditions, once testing is in place\n",
      "    ri_number_bounded: np.ndarray = np.select(\n",
      "        condlist=[\n",
      "            ri_number > 2.0,\n",
      "            ri_number < -1.0,\n",
      "        ],\n",
      "        choicelist=[\n",
      "            2.0,\n",
      "            -1.0,\n",
      "        ],\n",
      "        default=ri_number,\n",
      "    )\n",
      "    out: np.ndarray = np.select(\n",
      "        condlist=[\n",
      "            (ri_number_bounded < 0.0) & (ri_number_bounded >= -0.01),  # neutral\n",
      "            (ri_number_bounded < 0.0) & (ri_number_bounded < -0.01),  # unstable\n",
      "            (ri_number_bounded >= 0.0) & (ri_number_bounded <= 0.01),  # neutral\n",
      "            (ri_number_bounded >= 0.0) & (ri_number_bounded > 0.01),  # stable\n",
      "        ],\n",
      "        choicelist=[\n",
      "            1.0,                                         # neutral\n",
      "            (1.0 - 22.0 * ri_number_bounded) ** 0.80,    # unstable\n",
      "            1.0,                                         # neutral\n",
      "            (1.0 + 34.0 * ri_number_bounded) ** (-0.80),  # stable\n",
      "        ],\n",
      "    )\n",
      "    warnings.filterwarnings(\"default\", category=RuntimeWarning)\n",
      "    return out\n",
      "\n",
      "\n",
      "def mf_latent_heat_vaporization(\n",
      "    water_temp_k: xr.DataArray\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"\n",
      "    Compute the latent heat of vaporization (J/kg) as a function of water temperature (Kelvin)\n",
      "    \"\"\"\n",
      "\n",
      "    return 2499999 - 2385.74 * water_temp_k\n",
      "\n",
      "\n",
      "def mf_cp_water(\n",
      "    water_temp_c: xr.DataArray\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"\n",
      "    Compute the specific heat of water (J/kg/K) as a function of water temperature (Celsius).\n",
      "    This is used in computing the source/sink term.\n",
      "    \"\"\"\n",
      "    # polynomial logic, this produced nearly identical outputs for the range of temperatures tested\n",
      "    # See discussion about the two methods: https://github.com/EcohydrologyTeam/ClearWater-modules/pull/44\n",
      "    # return (\n",
      "    #    (4.65e-6 * water_temp_c - 0.001) *\n",
      "    #    (water_temp_c + 0.085858) *\n",
      "    #    (water_temp_c - 3.1331) *\n",
      "    #    water_temp_c +\n",
      "    #    4219.793\n",
      "    # )\n",
      "    return np.select(\n",
      "        condlist=[\n",
      "            water_temp_c <= 0.0,\n",
      "            water_temp_c <= 5.0,\n",
      "            water_temp_c <= 10.0,\n",
      "            water_temp_c <= 15.0,\n",
      "            water_temp_c <= 20.0,\n",
      "            water_temp_c <= 25.0,\n",
      "        ],\n",
      "        choicelist=[\n",
      "            4218.0,\n",
      "            4202.0,\n",
      "            4192.0,\n",
      "            4186.0,\n",
      "            4182.0,\n",
      "            4180.0,\n",
      "        ],\n",
      "        default=4178.0,\n",
      "    )\n",
      "\n",
      "\n",
      "def emissivity_air(\n",
      "    air_temp_k: xr.DataArray,\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"Calculate air emissivity (unitless).\n",
      "\n",
      "    Args:\n",
      "        air_temp_k: Air temperature (K)\n",
      "    \"\"\"\n",
      "    return 0.00000937 * air_temp_k**2.0\n",
      "\n",
      "\n",
      "def wind_function(\n",
      "    ri_function: xr.DataArray,\n",
      "    wind_a: xr.DataArray,\n",
      "    wind_b: xr.DataArray,\n",
      "    wind_c: xr.DataArray,\n",
      "    wind_speed: xr.DataArray,\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"Calculate wind function (unitless) for latent and sensible heat.\n",
      "\n",
      "    Args:\n",
      "        ri_function: Richardson function (unitless)\n",
      "        wind_a: Wind function coefficient (unitless)\n",
      "        wind_b: Wind function coefficient (unitless)\n",
      "        wind_c: Wind function coefficient (unitless)\n",
      "        wind_speed: Wind speed (m/s)\n",
      "    \"\"\"\n",
      "    return (\n",
      "        ri_function * (\n",
      "            (wind_a / 1000000.0) +\n",
      "            (wind_b / 1000000.0) *\n",
      "            (wind_speed**wind_c)\n",
      "        )\n",
      "    )\n",
      "\n",
      "\n",
      "def mf_q_longwave_down(\n",
      "    air_temp_k: xr.DataArray,\n",
      "    emissivity_air: xr.DataArray,\n",
      "    cloudiness: xr.DataArray,\n",
      "    stefan_boltzmann: xr.DataArray,\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"\n",
      "    Compute downwelling longwave radiation (W/m2)\n",
      "\n",
      "    Parameters:\n",
      "        air_temp_k (float):              Air temperature (Kelvin)\n",
      "        emissivity_air (float):     Emissivity of air (unitless)\n",
      "        cloudiness (float):         Cloudiness (fraction)\n",
      "\n",
      "    Returns:\n",
      "        Downwelling longwave radiation (W/m2, float)\n",
      "    \"\"\"\n",
      "\n",
      "    return (1.0 + 0.17 * cloudiness**2) * emissivity_air * stefan_boltzmann * air_temp_k**4.0\n",
      "\n",
      "\n",
      "def mf_q_longwave_up(\n",
      "    water_temp_k: xr.DataArray,\n",
      "    emissivity_water: xr.DataArray,\n",
      "    stefan_boltzmann: xr.DataArray,\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"\n",
      "    Compute upwelling longwave radiation (W/m2) as a function of water temperature (Kelvin)\n",
      "    \"\"\"\n",
      "\n",
      "    # logger.debug(f'mf_q_longwave_up({water_temp_k:.2f})')\n",
      "\n",
      "    return emissivity_water * stefan_boltzmann * water_temp_k**4.0\n",
      "\n",
      "\n",
      "def q_latent(\n",
      "    pressure_mb: xr.DataArray,\n",
      "    density_water: xr.DataArray,\n",
      "    lv: xr.DataArray,\n",
      "    wind_function: xr.DataArray,\n",
      "    esat_mb: xr.DataArray,\n",
      "    eair_mb: xr.DataArray,\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"Latent heat flux (W/m^2).\n",
      "\n",
      "    Args:\n",
      "        pressure_mb: Atmospheric pressure (mb)\n",
      "        density_water: Water density (kg/m^3)\n",
      "        lv: Latent heat of vaporization (J/kg)\n",
      "        wind_function: Wind function (unitless)\n",
      "        esat_mb: Saturation vapour pressure (mb)\n",
      "        eair_mb: Vapour pressure of air (mb)\n",
      "    \"\"\"\n",
      "    return (\n",
      "        (0.622 / pressure_mb) *\n",
      "        lv *\n",
      "        density_water *\n",
      "        wind_function *\n",
      "        (esat_mb - eair_mb)\n",
      "    )\n",
      "\n",
      "\n",
      "def q_sensible(\n",
      "    wind_kh_kw: xr.DataArray,\n",
      "    cp_air: xr.DataArray,\n",
      "    density_water: xr.DataArray,\n",
      "    wind_function: xr.DataArray,\n",
      "    air_temp_k: xr.DataArray,\n",
      "    water_temp_k: xr.DataArray,\n",
      ") -> xr.DataArray:\n",
      "    # TODO: check if the return units are correct\n",
      "    \"\"\"Sensible heat flux (W/m2).\n",
      "\n",
      "    Args:\n",
      "        wind_kh_kw: Diffusivity ratio (unitless)\n",
      "        ri_function: Richardson number (unitless)\n",
      "        cp_air: Specific heat of air (J/kg/K)\n",
      "        density_water: Water density (kg/m^3)\n",
      "        wind_function: Wind function (unitless)\n",
      "        air_temp_k: Air temperature (K)\n",
      "        water_temp_k: Water temperature (K)\n",
      "    \"\"\"\n",
      "    return (\n",
      "        wind_kh_kw *\n",
      "        cp_air *\n",
      "        density_water *\n",
      "        wind_function *\n",
      "        (air_temp_k - water_temp_k)\n",
      "    )\n",
      "\n",
      "\n",
      "def q_sediment(\n",
      "    use_sed_temp: xr.DataArray,\n",
      "    pb: xr.DataArray,\n",
      "    cps: xr.DataArray,\n",
      "    alphas: xr.DataArray,\n",
      "    h2: xr.DataArray,\n",
      "    sed_temp_c: xr.DataArray,\n",
      "    water_temp_c: xr.DataArray,\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"Sediment heat flux (W/m^2).\n",
      "\n",
      "    Args:\n",
      "        use_sed_temp: Whether to calculate sed temp or not (boolean)\n",
      "        pb: Sediment bulk density (kg/m^3)\n",
      "        cps: Sediment specific heat (J/kg/K)\n",
      "        alphas: Sediment thermal diffusivity (m^2/s)\n",
      "        h2: Sediment active layer thickness (m)\n",
      "        sed_temp_c: Sediment temperature (C)\n",
      "        water_temp_c: Water temperature (C)\n",
      "    \"\"\"\n",
      "    # 86400 converts the sediment thermal diffusivity from units of m^2/d to m^2/s\n",
      "    return np.where(\n",
      "        use_sed_temp,\n",
      "        (\n",
      "            pb * cps * alphas / 0.5 / h2 *\n",
      "            (sed_temp_c - water_temp_c) / 86400.0\n",
      "        ),\n",
      "        0.0,\n",
      "    )\n",
      "\n",
      "\n",
      "def q_net(\n",
      "    q_sensible: xr.DataArray,\n",
      "    q_latent: xr.DataArray,\n",
      "    q_longwave_up: xr.DataArray,\n",
      "    q_longwave_down: xr.DataArray,\n",
      "    q_solar: xr.DataArray,\n",
      "    q_sediment: xr.DataArray,\n",
      "    dt: xr.DataArray,\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"Net heat flux (W/m^2).\n",
      "\n",
      "    Args:\n",
      "        q_sensible: Sensible heat flux (W/m^2)\n",
      "        q_latent: Latent heat flux (W/m^2)\n",
      "        q_longwave_up: Upward longwave radiation (W/m^2)\n",
      "        q_longwave_down: Downward longwave radiation (W/m^2)\n",
      "        q_solar: Solar radiation (W/m^2)\n",
      "        q_sediment: Sediment heat flux (W/m^2)\n",
      "        dt: Change in time (days)\n",
      "    \"\"\"\n",
      "    return (\n",
      "        q_sensible +\n",
      "        q_solar +\n",
      "        q_sediment +\n",
      "        q_longwave_down -\n",
      "        q_longwave_up -\n",
      "        q_latent\n",
      "    ) * 86400 * dt\n",
      "\n",
      "\n",
      "def dTdt_water_c(\n",
      "    q_net: xr.DataArray,\n",
      "    surface_area: xr.DataArray,\n",
      "    volume: xr.DataArray,\n",
      "    density_water: xr.DataArray,\n",
      "    cp_water: xr.DataArray,\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"Water temperature change (C).\n",
      "\n",
      "    Args:\n",
      "        q_net: Net heat flux (W/m^2)\n",
      "        surface_area: Surface area (m^2)\n",
      "        volume: Volume (m^3)\n",
      "        density_water: Water density (kg/m^3)\n",
      "        cp_water: Water specific heat (J/kg/K)\n",
      "    \"\"\"\n",
      "    return (\n",
      "        q_net *\n",
      "        surface_area /\n",
      "        (volume * density_water * cp_water)\n",
      "    )\n",
      "\n",
      "\n",
      "def t_water_c(\n",
      "    water_temp_c: xr.DataArray,\n",
      "    dTdt_water_c: xr.DataArray,\n",
      ") -> xr.DataArray:\n",
      "    \"\"\"Water temperature (C).\n",
      "\n",
      "    Args:\n",
      "        t_water_c: Water temperature (C)\n",
      "        dt_water_c: Water temperature change (C)\n",
      "    \"\"\"\n",
      "    return water_temp_c + dTdt_water_c\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "import os\n",
    "\n",
    "current_location = sys.path[0]\n",
    "processes_file = os.path.dirname(current_location) + '\\src\\clearwater_modules\\\\tsm\\processes.py'\n",
    "\n",
    "with open(processes_file) as f:\n",
    "    print(f.read())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dynamic variables are computed by the process functions and then used as inputs to subsequent processes until the new `TwaterC` has been calculated. These variables are defined similarly to state variables. They are instances of a class `Variable` that gets registered to the `EnergyBudget` model, and have a `process` property that links them to a function which defines their value. Unlike static and state variables, dynamic variables do not need initial values, and are not designed to get passed outside of a module computation step. In the model implementation, there is an option to track or not track dynamic variables in memory. The default is to track dynamic variable values, which can be useful for seeing which components have the strongest influence on the overall temperature flux. Run the code below to inspect the dynamic variables used to calculate the water temperature change for `TSM`.     "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "import clearwater_modules.shared.processes as shared_processes\n",
      "from clearwater_modules import base\n",
      "from clearwater_modules.tsm.model import EnergyBudget\n",
      "from clearwater_modules.tsm import processes\n",
      "\n",
      "\n",
      "@base.register_variable(models=EnergyBudget)\n",
      "class Variable(base.Variable):\n",
      "    ...\n",
      "\n",
      "\n",
      "Variable(\n",
      "    name='air_temp_k',\n",
      "    long_name='Air temperature',\n",
      "    units='K',\n",
      "    description='Air temperature',\n",
      "    use='dynamic',\n",
      "    process=processes.air_temp_k,\n",
      ")\n",
      "Variable(\n",
      "    name='water_temp_k',\n",
      "    long_name='Water temperature',\n",
      "    units='K',\n",
      "    description='Water temperature',\n",
      "    use='dynamic',\n",
      "    process=processes.water_temp_k,\n",
      ")\n",
      "Variable(\n",
      "    name='mixing_ratio_air',\n",
      "    long_name='Mixing ratio of air',\n",
      "    units='unitless',\n",
      "    description='Mixing ratio of air',\n",
      "    use='dynamic',\n",
      "    process=processes.mixing_ratio_air,\n",
      ")\n",
      "Variable(\n",
      "    name='density_air',\n",
      "    long_name='Density of air',\n",
      "    units='kg/m^3',\n",
      "    description='Density of air',\n",
      "    use='dynamic',\n",
      "    process=processes.density_air,\n",
      ")\n",
      "Variable(\n",
      "    name='density_water',\n",
      "    long_name='Density of water',\n",
      "    units='kg/m^3',\n",
      "    description='Density of water',\n",
      "    use='dynamic',\n",
      "    process=processes.mf_density_water,\n",
      ")\n",
      "Variable(\n",
      "    name='esat_mb',\n",
      "    long_name='Saturation vapor pressure',\n",
      "    units='mb',\n",
      "    description='Saturation vapor pressure',\n",
      "    use='dynamic',\n",
      "    process=processes.mf_esat_mb,\n",
      ")\n",
      "Variable(\n",
      "    name='density_air_sat',\n",
      "    long_name='Density of air at saturation',\n",
      "    units='kg/m^3',\n",
      "    description='Density of air at saturation',\n",
      "    use='dynamic',\n",
      "    process=processes.mf_density_air_sat,\n",
      ")\n",
      "Variable(\n",
      "    name='ri_number',\n",
      "    long_name='Richardson number',\n",
      "    units='unitless',\n",
      "    description='Richardson number',\n",
      "    use='dynamic',\n",
      "    process=processes.ri_number,\n",
      ")\n",
      "Variable(\n",
      "    name='ri_function',\n",
      "    long_name='Richardson function',\n",
      "    units='unitless',\n",
      "    description='Richardson function',\n",
      "    use='dynamic',\n",
      "    process=processes.ri_function,\n",
      ")\n",
      "Variable(\n",
      "    name='lv',\n",
      "    long_name='Latent heat of vaporization',\n",
      "    units='J/kg',\n",
      "    description='Latent heat of vaporization',\n",
      "    use='dynamic',\n",
      "    process=processes.mf_latent_heat_vaporization,\n",
      ")\n",
      "Variable(\n",
      "    name='cp_water',\n",
      "    long_name='Specific heat of water',\n",
      "    units='J/kg/K',\n",
      "    description='Specific heat of water',\n",
      "    use='dynamic',\n",
      "    process=processes.mf_cp_water,\n",
      ")\n",
      "Variable(\n",
      "    name='emissivity_air',\n",
      "    long_name='Emissivity of air',\n",
      "    units='unitless',\n",
      "    description='Emissivity of air',\n",
      "    use='dynamic',\n",
      "    process=processes.emissivity_air,\n",
      ")\n",
      "Variable(\n",
      "    name='wind_function',\n",
      "    long_name='Wind function',\n",
      "    units='unitless',\n",
      "    description='Wind function',\n",
      "    use='dynamic',\n",
      "    process=processes.wind_function,\n",
      ")\n",
      "\n",
      "Variable(\n",
      "    name='q_latent',\n",
      "    long_name='Latent heat flux',\n",
      "    units='W/m^2',\n",
      "    description='Latent heat flux',\n",
      "    use='dynamic',\n",
      "    process=processes.q_latent,\n",
      ")\n",
      "Variable(\n",
      "    name='q_sensible',\n",
      "    long_name='Sensible heat flux',\n",
      "    units='W/m^2',\n",
      "    description='Sensible heat flux',\n",
      "    use='dynamic',\n",
      "    process=processes.q_sensible,\n",
      ")\n",
      "Variable(\n",
      "    name='q_sediment',\n",
      "    long_name='Sediment heat flux',\n",
      "    units='W/m^2',\n",
      "    description='Sediment heat flux',\n",
      "    use='dynamic',\n",
      "    process=processes.q_sediment,\n",
      ")\n",
      "Variable(\n",
      "    name='q_net',\n",
      "    long_name='Net heat flux',\n",
      "    units='W/m^2',\n",
      "    description='Net heat flux',\n",
      "    use='dynamic',\n",
      "    process=processes.q_net,\n",
      ")\n",
      "Variable(\n",
      "    name='q_longwave_down',\n",
      "    long_name='Downwelling longwave radiation',\n",
      "    units='W/m2',\n",
      "    description='Downwelling longwave radiation',\n",
      "    use='dynamic',\n",
      "    process=processes.mf_q_longwave_down,\n",
      ")\n",
      "\n",
      "Variable(\n",
      "    name='q_longwave_up',\n",
      "    long_name='Upwelling longwave radiation',\n",
      "    units='W/m2',\n",
      "    description='Upwelling longwave radiation',\n",
      "    use='dynamic',\n",
      "    process=processes.mf_q_longwave_up,\n",
      ")\n",
      "\n",
      "Variable(\n",
      "    name='dTdt_water_c',\n",
      "    long_name='Water temperature change',\n",
      "    units='degC',\n",
      "    description='Water temperature change',\n",
      "    use='dynamic',\n",
      "    process=processes.dTdt_water_c,\n",
      ")\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "import os\n",
    "\n",
    "current_location = sys.path[0]\n",
    "dynamic_variables_file = os.path.dirname(current_location) + '\\src\\clearwater_modules\\\\tsm\\dynamic_variables.py'\n",
    "\n",
    "with open(dynamic_variables_file) as f:\n",
    "    print(f.read())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The order in which dynamic variables must be calculated is determined by the `sorter.py` file defined in the main folder of the `clearwater_modules` repository. This file inspects the arguments for each process function, and checks if these arguments are available in the list of module inputs (static variables with default values, or state variables) or if the arguments are computed during the module run (dynamic variables). The sorter will then put the processes in order to ensure that each process will have all its input arguments defined prior to being called. The `sorter.py` file is called when the module is run. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that the different types of module variables and processes have been defined, we can set up an example module, and run one timestep. To do so, we must create an instance of the `EnergyBudget` model-class that has our desired model inputs. There are a few other options that we set when instatiating the model-class. First, we must determine the number of timesteps we plan to run, by defining the `time_steps` attribute. This is done to improve module computation performance. The size of each timestep is not explicitly defined, and assumed to equal 1 second, but is another variable that should be pulled from the linked hydrodynamic model. Second, we define the initial values for the state variables and static variables (meteorologic and temperature) using dictionaries. The state variables must have initial values provided upon instantiation of the `EnergyBudget` model. Static variables have default values that will be used if no dictionary is provided upon instantiation. Finally, a few computation options need to be defined. These are `track_dynamic_variables`, a boolean attribute which controls whether or not we want to save the value of dynamic variables for each timestep, `hotstart_dataset`, which is another way to initialize `EnergyBudget` using precomputed variables NOT CLEAR IF FUNCTIONING**, and an attribute called `time_dim`, which is the name of the time dimension. Run the codeblock below to instantiate an `EnergyBudget` model. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initializing from dicts...\n",
      "Model initialized from input dicts successfully!.\n"
     ]
    }
   ],
   "source": [
    "initial_state_values = {'water_temp_c': 20, 'surface_area': 1, 'volume': 1}\n",
    "meteo_parameters = {\n",
    "    'air_temp_c': 20,\n",
    "    'q_solar': 400,\n",
    "    'sed_temp_c': 5,\n",
    "    'eair_mb': 1,\n",
    "    'pressure_mb': 1013,\n",
    "    'cloudiness': .1,\n",
    "    'wind_speed': 3,\n",
    "    'wind_a': .3,\n",
    "    'wind_b': 1.5,\n",
    "    'wind_c': 1,\n",
    "    'wind_kh_kw': 1\n",
    "}\n",
    "\n",
    "temp_parameters = {\n",
    "    'use_sed_temp': False,\n",
    "    'stefan_boltzmann': 0.0000000567,\n",
    "    'cp_air': 1005,\n",
    "    'emissivity_water': 0.97,\n",
    "    'gravity': 9.806,\n",
    "    'a0': 6984.505294,\n",
    "    'a1': -188.903931,\n",
    "    'a2': 2.133357675,\n",
    "    'a3': -0.01288581,\n",
    "    'a4': 0.0000439359,\n",
    "    'a5': -.0000000802392,\n",
    "    'a6': .0000000000613682,\n",
    "    'pb': 1600,\n",
    "    'cps': 1673,\n",
    "    'h2': 0.1,\n",
    "    'alphas': 0.0432,\n",
    "    'richardson_option': True,\n",
    "    'dt': 1/86400,\n",
    "}\n",
    "\n",
    "time_steps = 1\n",
    "\n",
    "tsm_model = cwm.tsm.EnergyBudget(\n",
    "    time_steps=time_steps,\n",
    "    initial_state_values=initial_state_values,  # mandatory\n",
    "    temp_parameters=temp_parameters,\n",
    "    meteo_parameters=meteo_parameters,\n",
    "    track_dynamic_variables=True,  # default is false\n",
    "    hotstart_dataset=None,  # default is None\n",
    "    time_dim='Seconds',  # default is \"timestep\"; update `dt` in temp_parameters as needed\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `tsm_model` instance that we define above has all the information we need to compute the change in water temperature given the conditions we have defined. Run the code below to view the x-array data structure that holds all of this information. The x-array structure displays the dimensions of data that we are tracking. Since there is only one computation cell, we only see one entry for the x and y dimension respectively. We set our `time_steps` = 1, which is reflected by the two entries in the Seconds dimension: the values for the initial conditions, and the values of the tracked variables after that 1 timestep is run. Expand `Data variables` to view the state, static, and dynamic variables. Since this dataset reflects initial conditions before a timestep has been run, you will see `nan` values entered as placeholders for the dynamic variables and for the second column of state variables. There is only one column of data for static variables, as these to do not change over the timesteps.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:            (Seconds: 2, x: 1, y: 1)\n",
       "Coordinates:\n",
       "  * Seconds            (Seconds) int32 0 1\n",
       "  * x                  (x) float64 1.0\n",
       "  * y                  (y) float64 1.0\n",
       "Data variables: (12/52)\n",
       "    water_temp_c       (Seconds, x, y) float64 20.0 nan\n",
       "    surface_area       (Seconds, x, y) float64 1.0 nan\n",
       "    volume             (Seconds, x, y) float64 1.0 nan\n",
       "    use_sed_temp       (x, y) bool True\n",
       "    stefan_boltzmann   (x, y) float64 5.67e-08\n",
       "    cp_air             (x, y) int32 1005\n",
       "    ...                 ...\n",
       "    q_sensible         (Seconds, x, y) float64 nan nan\n",
       "    q_sediment         (Seconds, x, y) float64 nan nan\n",
       "    q_net              (Seconds, x, y) float64 nan nan\n",
       "    q_longwave_down    (Seconds, x, y) float64 nan nan\n",
       "    q_longwave_up      (Seconds, x, y) float64 nan nan\n",
       "    dTdt_water_c       (Seconds, x, y) float64 nan nan</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-508177e9-9aa6-45a7-a8d5-cec873670a26' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-508177e9-9aa6-45a7-a8d5-cec873670a26' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>Seconds</span>: 2</li><li><span class='xr-has-index'>x</span>: 1</li><li><span class='xr-has-index'>y</span>: 1</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-5368b761-b8d4-4ec4-8fb9-5167f9a50865' class='xr-section-summary-in' type='checkbox'  checked><label for='section-5368b761-b8d4-4ec4-8fb9-5167f9a50865' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>Seconds</span></div><div class='xr-var-dims'>(Seconds)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 1</div><input id='attrs-336f79bc-dcc5-4bf5-9c72-bcd675701f5e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-336f79bc-dcc5-4bf5-9c72-bcd675701f5e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1404e44e-d090-4c02-815f-8b76ee0d8bec' class='xr-var-data-in' type='checkbox'><label for='data-1404e44e-d090-4c02-815f-8b76ee0d8bec' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.0</div><input id='attrs-6cae71de-7d5e-4ff2-8b0b-b7de25a66b5b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-6cae71de-7d5e-4ff2-8b0b-b7de25a66b5b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-508eb614-895e-4bdc-b3a4-fec2eb27f327' class='xr-var-data-in' type='checkbox'><label for='data-508eb614-895e-4bdc-b3a4-fec2eb27f327' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([1.])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.0</div><input id='attrs-50da8839-c3b2-40db-a473-54160af6e552' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-50da8839-c3b2-40db-a473-54160af6e552' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-4ed54009-5dce-4107-83e4-84ac74a2967f' class='xr-var-data-in' type='checkbox'><label for='data-4ed54009-5dce-4107-83e4-84ac74a2967f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([1.])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-bf193a6b-7676-4e0d-8a74-c9b99f08365f' class='xr-section-summary-in' type='checkbox'  ><label for='section-bf193a6b-7676-4e0d-8a74-c9b99f08365f' class='xr-section-summary' >Data variables: <span>(52)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>water_temp_c</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>20.0 nan</div><input id='attrs-d2bf93f5-34fd-4106-8428-1661441b9430' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-d2bf93f5-34fd-4106-8428-1661441b9430' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8ce01b44-f089-4006-a25a-a31f671b6b32' class='xr-var-data-in' type='checkbox'><label for='data-8ce01b44-f089-4006-a25a-a31f671b6b32' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Water temperature</dd><dt><span>units :</span></dt><dd>degC</dd><dt><span>description :</span></dt><dd>TSM state variable for water temperature</dd></dl></div><div class='xr-var-data'><pre>array([[[20.]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>surface_area</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.0 nan</div><input id='attrs-789a2d03-ecb5-40b5-af12-77b776fdcbda' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-789a2d03-ecb5-40b5-af12-77b776fdcbda' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-934205f4-9c3d-4af1-bfad-19e149976d1f' class='xr-var-data-in' type='checkbox'><label for='data-934205f4-9c3d-4af1-bfad-19e149976d1f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Surface area</dd><dt><span>units :</span></dt><dd>m^2</dd><dt><span>description :</span></dt><dd>Surface area</dd></dl></div><div class='xr-var-data'><pre>array([[[ 1.]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>volume</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.0 nan</div><input id='attrs-40c832eb-0840-4f9e-9d82-fff100b9c541' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-40c832eb-0840-4f9e-9d82-fff100b9c541' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-de9c3c8f-65fa-4187-8c2c-98980d31756c' class='xr-var-data-in' type='checkbox'><label for='data-de9c3c8f-65fa-4187-8c2c-98980d31756c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Volume</dd><dt><span>units :</span></dt><dd>m^3</dd><dt><span>description :</span></dt><dd>Volume</dd></dl></div><div class='xr-var-data'><pre>array([[[ 1.]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>use_sed_temp</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>bool</div><div class='xr-var-preview xr-preview'>True</div><input id='attrs-fdda2fa4-2ad3-4205-a4db-ac920c6ce35a' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-fdda2fa4-2ad3-4205-a4db-ac920c6ce35a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-13f8d141-69f6-4faa-9069-833e3d1fda96' class='xr-var-data-in' type='checkbox'><label for='data-13f8d141-69f6-4faa-9069-833e3d1fda96' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Use Sediment Temperature?</dd><dt><span>units :</span></dt><dd>boolean</dd><dt><span>description :</span></dt><dd>Controls whether to use/calculate sediment temperature or not.</dd></dl></div><div class='xr-var-data'><pre>array([[ True]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>stefan_boltzmann</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>5.67e-08</div><input id='attrs-71f7cfcf-ac7d-4ba6-a297-41d07f2dba6b' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-71f7cfcf-ac7d-4ba6-a297-41d07f2dba6b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-587afb58-900e-4647-9c15-13f6caa5d686' class='xr-var-data-in' type='checkbox'><label for='data-587afb58-900e-4647-9c15-13f6caa5d686' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Stefan-Boltzmann Constant</dd><dt><span>units :</span></dt><dd>W m-2 K-4</dd><dt><span>description :</span></dt><dd>The Stefan-Boltzmann constant.</dd></dl></div><div class='xr-var-data'><pre>array([[5.67e-08]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>cp_air</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1005</div><input id='attrs-bf678ba2-a81e-4692-8264-96b18ee9d298' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-bf678ba2-a81e-4692-8264-96b18ee9d298' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-4a623fbd-77e6-409c-acd4-aed77f96e022' class='xr-var-data-in' type='checkbox'><label for='data-4a623fbd-77e6-409c-acd4-aed77f96e022' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Specific Heat Capacity of Air</dd><dt><span>units :</span></dt><dd>J kg-1 K-1</dd><dt><span>description :</span></dt><dd>The specific heat capacity of air.</dd></dl></div><div class='xr-var-data'><pre>array([[1005]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>emissivity_water</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.97</div><input id='attrs-b3d4138c-a9d8-4c06-80f3-946fbf2d3ece' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-b3d4138c-a9d8-4c06-80f3-946fbf2d3ece' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-7a909bfd-5069-4834-b73b-95833837ea1d' class='xr-var-data-in' type='checkbox'><label for='data-7a909bfd-5069-4834-b73b-95833837ea1d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Emissivity of Water</dd><dt><span>units :</span></dt><dd>1</dd><dt><span>description :</span></dt><dd>The emissivity of water.</dd></dl></div><div class='xr-var-data'><pre>array([[0.97]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>gravity</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>9.806</div><input id='attrs-1e1adfcf-e4a3-4b54-9868-5df894627b5e' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-1e1adfcf-e4a3-4b54-9868-5df894627b5e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-96fb2894-017b-4e48-b8a0-83a68aa0d39b' class='xr-var-data-in' type='checkbox'><label for='data-96fb2894-017b-4e48-b8a0-83a68aa0d39b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Gravity</dd><dt><span>units :</span></dt><dd>m s-2</dd><dt><span>description :</span></dt><dd>The acceleration due to gravity.</dd></dl></div><div class='xr-var-data'><pre>array([[9.806]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a0</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>6.985e+03</div><input id='attrs-2505774f-aa0f-48c6-8e8b-2f3f8349b932' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-2505774f-aa0f-48c6-8e8b-2f3f8349b932' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6efcf8ba-9bcf-47e6-9637-5cabfebe5e3d' class='xr-var-data-in' type='checkbox'><label for='data-6efcf8ba-9bcf-47e6-9637-5cabfebe5e3d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[6984.505294]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a1</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-188.9</div><input id='attrs-089ae675-5af0-4aeb-b335-a0e10ece939e' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-089ae675-5af0-4aeb-b335-a0e10ece939e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5191dc83-4f0b-42b5-a6c5-14b73afd07ac' class='xr-var-data-in' type='checkbox'><label for='data-5191dc83-4f0b-42b5-a6c5-14b73afd07ac' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[-188.903931]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a2</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>2.133</div><input id='attrs-ad1ad887-19c1-4041-b4a2-70afb36a5e32' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-ad1ad887-19c1-4041-b4a2-70afb36a5e32' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5cce915a-87f6-458f-9f81-440fc2c364ca' class='xr-var-data-in' type='checkbox'><label for='data-5cce915a-87f6-458f-9f81-440fc2c364ca' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[2.13335768]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a3</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-0.01289</div><input id='attrs-43f5ac62-3878-4f86-9067-09b3cbbc9c2f' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-43f5ac62-3878-4f86-9067-09b3cbbc9c2f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8cb6e342-0f30-42ff-84f7-52abd23c3f05' class='xr-var-data-in' type='checkbox'><label for='data-8cb6e342-0f30-42ff-84f7-52abd23c3f05' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[-0.01288581]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a4</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>4.394e-05</div><input id='attrs-a05183f4-4cce-408d-90e8-db7a8ddb7288' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-a05183f4-4cce-408d-90e8-db7a8ddb7288' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1f36ebe6-f7cd-4c45-80b9-0c09988220e6' class='xr-var-data-in' type='checkbox'><label for='data-1f36ebe6-f7cd-4c45-80b9-0c09988220e6' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[4.39359e-05]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a5</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-8.024e-08</div><input id='attrs-7d3d9714-2de9-47db-a00f-5e6aa66808e5' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-7d3d9714-2de9-47db-a00f-5e6aa66808e5' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-7cfde69f-20fd-451f-b749-ca1c8c4bb110' class='xr-var-data-in' type='checkbox'><label for='data-7cfde69f-20fd-451f-b749-ca1c8c4bb110' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[-8.02392e-08]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a6</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>6.137e-11</div><input id='attrs-8bb152da-c06d-4711-826e-6e91ce49dd43' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-8bb152da-c06d-4711-826e-6e91ce49dd43' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d383fc0f-bc03-45d3-a397-31bb1edc7020' class='xr-var-data-in' type='checkbox'><label for='data-d383fc0f-bc03-45d3-a397-31bb1edc7020' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[6.13682e-11]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>pb</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1600</div><input id='attrs-0e9f57a9-032b-4f6c-90a9-ec3ca4b39ed1' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-0e9f57a9-032b-4f6c-90a9-ec3ca4b39ed1' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-84064d08-f829-413e-a6e1-90cc28175a4e' class='xr-var-data-in' type='checkbox'><label for='data-84064d08-f829-413e-a6e1-90cc28175a4e' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Bulk Density of Sediment</dd><dt><span>units :</span></dt><dd>kg m-3</dd><dt><span>description :</span></dt><dd>The bulk density of sediment.</dd></dl></div><div class='xr-var-data'><pre>array([[1600]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>cps</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1673</div><input id='attrs-7b805f00-63fb-49a4-b757-eeb1e95a9eab' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-7b805f00-63fb-49a4-b757-eeb1e95a9eab' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a8a2fa6c-f12e-423b-894c-4e17731b2bba' class='xr-var-data-in' type='checkbox'><label for='data-a8a2fa6c-f12e-423b-894c-4e17731b2bba' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>CPS</dd><dt><span>units :</span></dt><dd>J kg-1 K-1</dd><dt><span>description :</span></dt><dd>The CPS.</dd></dl></div><div class='xr-var-data'><pre>array([[1673]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>h2</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.1</div><input id='attrs-1e5af7f8-a097-43fe-9832-1aff5f3d4daf' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-1e5af7f8-a097-43fe-9832-1aff5f3d4daf' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1c84c7c9-5eb7-46dd-9f3f-94da693251d8' class='xr-var-data-in' type='checkbox'><label for='data-1c84c7c9-5eb7-46dd-9f3f-94da693251d8' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>H2</dd><dt><span>units :</span></dt><dd>m</dd><dt><span>description :</span></dt><dd>The H2.</dd></dl></div><div class='xr-var-data'><pre>array([[0.1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>alphas</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0432</div><input id='attrs-864cc20f-e0d1-4559-860d-ce0ba0e8574f' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-864cc20f-e0d1-4559-860d-ce0ba0e8574f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-bf899b5e-baf6-45e7-bddc-e00d0308e08c' class='xr-var-data-in' type='checkbox'><label for='data-bf899b5e-baf6-45e7-bddc-e00d0308e08c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Alphas</dd><dt><span>units :</span></dt><dd>m-1</dd><dt><span>description :</span></dt><dd>The alphas.</dd></dl></div><div class='xr-var-data'><pre>array([[0.0432]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>richardson_option</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>bool</div><div class='xr-var-preview xr-preview'>True</div><input id='attrs-96f62d5c-43cf-4f03-ba7e-08e37d0a96bb' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-96f62d5c-43cf-4f03-ba7e-08e37d0a96bb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d8f2399f-4c01-4857-acc0-ab89d5c04e2d' class='xr-var-data-in' type='checkbox'><label for='data-d8f2399f-4c01-4857-acc0-ab89d5c04e2d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Richardson Option</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The Richardson option.</dd></dl></div><div class='xr-var-data'><pre>array([[ True]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>air_temp_c</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>20</div><input id='attrs-c79a566b-e9af-4220-8030-bc4f432fbb86' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-c79a566b-e9af-4220-8030-bc4f432fbb86' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b9814dcd-6611-4b96-a70c-0a3aaab7441a' class='xr-var-data-in' type='checkbox'><label for='data-b9814dcd-6611-4b96-a70c-0a3aaab7441a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Air Temperature</dd><dt><span>units :</span></dt><dd>C</dd><dt><span>description :</span></dt><dd>The air temperature.</dd></dl></div><div class='xr-var-data'><pre>array([[20]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>q_solar</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>400</div><input id='attrs-21bd90a1-076a-418b-9526-acfd9ced48c6' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-21bd90a1-076a-418b-9526-acfd9ced48c6' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f619a5df-eac1-4058-9471-14d7ded5c6cc' class='xr-var-data-in' type='checkbox'><label for='data-f619a5df-eac1-4058-9471-14d7ded5c6cc' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Solar Heat Flux</dd><dt><span>units :</span></dt><dd>W m-2</dd><dt><span>description :</span></dt><dd>The solar heat flux.</dd></dl></div><div class='xr-var-data'><pre>array([[400]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>sed_temp_c</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>5</div><input id='attrs-4eece68b-1f8a-425e-a345-5fb1ac7c3318' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-4eece68b-1f8a-425e-a345-5fb1ac7c3318' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-feee1493-e7f3-4544-92bc-d7e8f7653f5b' class='xr-var-data-in' type='checkbox'><label for='data-feee1493-e7f3-4544-92bc-d7e8f7653f5b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Sediment Temperature</dd><dt><span>units :</span></dt><dd>C</dd><dt><span>description :</span></dt><dd>The sediment temperature.</dd></dl></div><div class='xr-var-data'><pre>array([[5]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>eair_mb</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1</div><input id='attrs-77ef6b70-f2ac-4558-a9e1-d4ce9d7965d2' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-77ef6b70-f2ac-4558-a9e1-d4ce9d7965d2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-2ebfea02-8a94-468d-8eac-f2753d34f5a8' class='xr-var-data-in' type='checkbox'><label for='data-2ebfea02-8a94-468d-8eac-f2753d34f5a8' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Vapor pressure</dd><dt><span>units :</span></dt><dd>mb</dd><dt><span>description :</span></dt><dd>Vapor pressure</dd></dl></div><div class='xr-var-data'><pre>array([[1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>pressure_mb</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1013</div><input id='attrs-6401baff-bf4d-43f6-9abc-5a7a24cf069b' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-6401baff-bf4d-43f6-9abc-5a7a24cf069b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-17e737e7-ac3a-4a14-be1b-8c17ac72a585' class='xr-var-data-in' type='checkbox'><label for='data-17e737e7-ac3a-4a14-be1b-8c17ac72a585' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Pressure</dd><dt><span>units :</span></dt><dd>mb</dd><dt><span>description :</span></dt><dd>The pressure.</dd></dl></div><div class='xr-var-data'><pre>array([[1013]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>cloudiness</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.1</div><input id='attrs-5424b15b-903b-4abe-8641-f3ac6a9ecca3' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-5424b15b-903b-4abe-8641-f3ac6a9ecca3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-94c6850c-92f8-417e-b2b7-f30355457245' class='xr-var-data-in' type='checkbox'><label for='data-94c6850c-92f8-417e-b2b7-f30355457245' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Cloudiness</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The cloudiness.</dd></dl></div><div class='xr-var-data'><pre>array([[0.1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_speed</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>3</div><input id='attrs-beca5f5c-9860-4cad-9e23-e4cbaf48f8d3' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-beca5f5c-9860-4cad-9e23-e4cbaf48f8d3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-982cab9b-9e75-41de-b13d-0c3caf1237f2' class='xr-var-data-in' type='checkbox'><label for='data-982cab9b-9e75-41de-b13d-0c3caf1237f2' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind Speed</dd><dt><span>units :</span></dt><dd>m s-1</dd><dt><span>description :</span></dt><dd>The wind speed.</dd></dl></div><div class='xr-var-data'><pre>array([[3]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_a</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.3</div><input id='attrs-a8fb9a6a-0084-40c3-b673-caa413151ce6' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-a8fb9a6a-0084-40c3-b673-caa413151ce6' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e751eae7-ad1d-4823-ac50-1e93dedb17fd' class='xr-var-data-in' type='checkbox'><label for='data-e751eae7-ad1d-4823-ac50-1e93dedb17fd' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind A</dd><dt><span>units :</span></dt><dd>m s-1</dd><dt><span>description :</span></dt><dd>The wind A.</dd></dl></div><div class='xr-var-data'><pre>array([[0.3]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_b</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.5</div><input id='attrs-c0177255-801a-44e2-9ac1-7558cc9ef372' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-c0177255-801a-44e2-9ac1-7558cc9ef372' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1e4a21e8-1ff2-47a6-b75c-48e1fe3d83d8' class='xr-var-data-in' type='checkbox'><label for='data-1e4a21e8-1ff2-47a6-b75c-48e1fe3d83d8' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind B</dd><dt><span>units :</span></dt><dd>m s-1</dd><dt><span>description :</span></dt><dd>The wind B.</dd></dl></div><div class='xr-var-data'><pre>array([[1.5]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_c</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1</div><input id='attrs-56e58040-8ea5-4b88-90dc-a39e450ee805' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-56e58040-8ea5-4b88-90dc-a39e450ee805' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-4b5ac60d-4b6b-4874-b5e2-4d940285d3fb' class='xr-var-data-in' type='checkbox'><label for='data-4b5ac60d-4b6b-4874-b5e2-4d940285d3fb' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind C</dd><dt><span>units :</span></dt><dd>m s-1</dd><dt><span>description :</span></dt><dd>The wind C.</dd></dl></div><div class='xr-var-data'><pre>array([[1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_kh_kw</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1</div><input id='attrs-73601e7e-7652-4d01-b7f9-7ce351e860b1' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-73601e7e-7652-4d01-b7f9-7ce351e860b1' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6753fdb3-9169-4bc8-8177-43638a946e90' class='xr-var-data-in' type='checkbox'><label for='data-6753fdb3-9169-4bc8-8177-43638a946e90' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind KH KW</dd><dt><span>units :</span></dt><dd>m s-1</dd><dt><span>description :</span></dt><dd>The wind KH KW.</dd></dl></div><div class='xr-var-data'><pre>array([[1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dt</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1</div><input id='attrs-1efe73c7-7281-4730-ac42-1ea5a09872dc' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-1efe73c7-7281-4730-ac42-1ea5a09872dc' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-9e546f4d-2e05-48b2-9f55-71ee618ea0b5' class='xr-var-data-in' type='checkbox'><label for='data-9e546f4d-2e05-48b2-9f55-71ee618ea0b5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>dt</dd><dt><span>units :</span></dt><dd>d</dd><dt><span>description :</span></dt><dd>calculation dt</dd></dl></div><div class='xr-var-data'><pre>array([[1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>air_temp_k</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-3ca6c02a-d7f4-4cd2-bb7f-f1a3ab6cc419' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-3ca6c02a-d7f4-4cd2-bb7f-f1a3ab6cc419' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-36ccfcf0-6e40-470e-91b5-810c2d90b010' class='xr-var-data-in' type='checkbox'><label for='data-36ccfcf0-6e40-470e-91b5-810c2d90b010' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Air temperature</dd><dt><span>units :</span></dt><dd>K</dd><dt><span>description :</span></dt><dd>Air temperature</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>water_temp_k</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-29371349-d276-4b44-bba4-a6dd9dcbfeff' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-29371349-d276-4b44-bba4-a6dd9dcbfeff' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-4c94959c-52b4-450c-aee2-93f409d90630' class='xr-var-data-in' type='checkbox'><label for='data-4c94959c-52b4-450c-aee2-93f409d90630' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Water temperature</dd><dt><span>units :</span></dt><dd>K</dd><dt><span>description :</span></dt><dd>Water temperature</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>mixing_ratio_air</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-3388961f-aeaf-4ebc-8540-16a2a16f9cc3' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-3388961f-aeaf-4ebc-8540-16a2a16f9cc3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-37a9a0e3-659f-4283-9507-755290250f60' class='xr-var-data-in' type='checkbox'><label for='data-37a9a0e3-659f-4283-9507-755290250f60' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Mixing ratio of air</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>Mixing ratio of air</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>density_air</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-90c07019-7a50-4732-8ab3-f9591a9fdbb4' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-90c07019-7a50-4732-8ab3-f9591a9fdbb4' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-7fcd08f2-8b0c-48a9-93b2-e2ce4f45a3ed' class='xr-var-data-in' type='checkbox'><label for='data-7fcd08f2-8b0c-48a9-93b2-e2ce4f45a3ed' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Density of air</dd><dt><span>units :</span></dt><dd>kg/m^3</dd><dt><span>description :</span></dt><dd>Density of air</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>density_water</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-69f9113c-0600-408b-bbc4-5872f2cd6e52' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-69f9113c-0600-408b-bbc4-5872f2cd6e52' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-0f6337e1-6757-4528-b9b6-ce28f7bdc187' class='xr-var-data-in' type='checkbox'><label for='data-0f6337e1-6757-4528-b9b6-ce28f7bdc187' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Density of water</dd><dt><span>units :</span></dt><dd>kg/m^3</dd><dt><span>description :</span></dt><dd>Density of water</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>esat_mb</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-185e5524-335e-4ed5-ba48-3d7936b681eb' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-185e5524-335e-4ed5-ba48-3d7936b681eb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-350a7691-a7f7-4834-8e39-189f25cc6431' class='xr-var-data-in' type='checkbox'><label for='data-350a7691-a7f7-4834-8e39-189f25cc6431' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Saturation vapor pressure</dd><dt><span>units :</span></dt><dd>mb</dd><dt><span>description :</span></dt><dd>Saturation vapor pressure</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>density_air_sat</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-95e5f433-7d49-4da5-9213-ed67a34ef047' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-95e5f433-7d49-4da5-9213-ed67a34ef047' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-41970e66-9273-46d5-890a-fcc145ad2ac5' class='xr-var-data-in' type='checkbox'><label for='data-41970e66-9273-46d5-890a-fcc145ad2ac5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Density of air at saturation</dd><dt><span>units :</span></dt><dd>kg/m^3</dd><dt><span>description :</span></dt><dd>Density of air at saturation</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>ri_number</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-e261e4da-9900-46ff-af9a-1030ac049984' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-e261e4da-9900-46ff-af9a-1030ac049984' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8049af19-e369-4f5f-b544-630889f41ac4' class='xr-var-data-in' type='checkbox'><label for='data-8049af19-e369-4f5f-b544-630889f41ac4' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Richardson number</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>Richardson number</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>ri_function</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-3bd7537a-7a41-4c60-90ba-e80be1aa58b7' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-3bd7537a-7a41-4c60-90ba-e80be1aa58b7' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-67bbe0a2-384b-489a-8336-0b59c64ee461' class='xr-var-data-in' type='checkbox'><label for='data-67bbe0a2-384b-489a-8336-0b59c64ee461' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Richardson function</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>Richardson function</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>lv</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-1f73c26e-a232-48ed-9c5b-3bed91999c98' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-1f73c26e-a232-48ed-9c5b-3bed91999c98' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ba6b5701-3935-4dca-927f-3980cb8d33a7' class='xr-var-data-in' type='checkbox'><label for='data-ba6b5701-3935-4dca-927f-3980cb8d33a7' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Latent heat of vaporization</dd><dt><span>units :</span></dt><dd>J/kg</dd><dt><span>description :</span></dt><dd>Latent heat of vaporization</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>cp_water</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-3d5ba830-8b94-42a7-a8b9-948200bc8597' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-3d5ba830-8b94-42a7-a8b9-948200bc8597' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ed076026-25d9-47b8-bdf8-ef51ec3b70f5' class='xr-var-data-in' type='checkbox'><label for='data-ed076026-25d9-47b8-bdf8-ef51ec3b70f5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Specific heat of water</dd><dt><span>units :</span></dt><dd>J/kg/K</dd><dt><span>description :</span></dt><dd>Specific heat of water</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>emissivity_air</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-d59e22dc-c7d4-490c-a014-0c08e2e02640' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-d59e22dc-c7d4-490c-a014-0c08e2e02640' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-25321f68-fd63-4867-a52c-db2ddf170ab8' class='xr-var-data-in' type='checkbox'><label for='data-25321f68-fd63-4867-a52c-db2ddf170ab8' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Emissivity of air</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>Emissivity of air</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_function</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-cb1d8106-70c6-4dad-805d-34af3f3f0a48' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-cb1d8106-70c6-4dad-805d-34af3f3f0a48' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8913f8d9-be60-4f9b-8fff-00eb1110d236' class='xr-var-data-in' type='checkbox'><label for='data-8913f8d9-be60-4f9b-8fff-00eb1110d236' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind function</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>Wind function</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>q_latent</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-9b00dd3f-88f4-4d18-9831-624bde69498c' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-9b00dd3f-88f4-4d18-9831-624bde69498c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f0d391d3-3040-4c0b-9016-bfe0004dd67c' class='xr-var-data-in' type='checkbox'><label for='data-f0d391d3-3040-4c0b-9016-bfe0004dd67c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Latent heat flux</dd><dt><span>units :</span></dt><dd>W/m^2</dd><dt><span>description :</span></dt><dd>Latent heat flux</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>q_sensible</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-8282d1c5-a996-44a0-9c4c-e6dd529b646f' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-8282d1c5-a996-44a0-9c4c-e6dd529b646f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c45bd24a-4a63-498a-b18a-919d3f29db52' class='xr-var-data-in' type='checkbox'><label for='data-c45bd24a-4a63-498a-b18a-919d3f29db52' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Sensible heat flux</dd><dt><span>units :</span></dt><dd>W/m^2</dd><dt><span>description :</span></dt><dd>Sensible heat flux</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>q_sediment</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-233317ef-8b37-4b92-a853-cb227bee5d30' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-233317ef-8b37-4b92-a853-cb227bee5d30' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a3771084-3722-4790-961c-c5754944bf06' class='xr-var-data-in' type='checkbox'><label for='data-a3771084-3722-4790-961c-c5754944bf06' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Sediment heat flux</dd><dt><span>units :</span></dt><dd>W/m^2</dd><dt><span>description :</span></dt><dd>Sediment heat flux</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>q_net</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-1a5f573b-b117-45f0-9397-bf6fa41197a0' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-1a5f573b-b117-45f0-9397-bf6fa41197a0' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-9e36291a-7030-4337-97d7-953f36cb44ac' class='xr-var-data-in' type='checkbox'><label for='data-9e36291a-7030-4337-97d7-953f36cb44ac' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Net heat flux</dd><dt><span>units :</span></dt><dd>W/m^2</dd><dt><span>description :</span></dt><dd>Net heat flux</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>q_longwave_down</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-1f4e0132-0481-4621-9cdf-e7a57e66166c' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-1f4e0132-0481-4621-9cdf-e7a57e66166c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ed33d80d-a997-4d02-b72a-69334b236742' class='xr-var-data-in' type='checkbox'><label for='data-ed33d80d-a997-4d02-b72a-69334b236742' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Downwelling longwave radiation</dd><dt><span>units :</span></dt><dd>W/m2</dd><dt><span>description :</span></dt><dd>Downwelling longwave radiation</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>q_longwave_up</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-ef303e15-bc44-4a00-8d26-3be1604a6d4a' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-ef303e15-bc44-4a00-8d26-3be1604a6d4a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-02b42f37-98f0-4d1c-b961-4f14401c86f4' class='xr-var-data-in' type='checkbox'><label for='data-02b42f37-98f0-4d1c-b961-4f14401c86f4' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Upwelling longwave radiation</dd><dt><span>units :</span></dt><dd>W/m2</dd><dt><span>description :</span></dt><dd>Upwelling longwave radiation</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dTdt_water_c</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan</div><input id='attrs-52114a35-24d7-4747-a747-1babe29f8c16' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-52114a35-24d7-4747-a747-1babe29f8c16' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8ea02e28-5420-44d8-9142-ab8828fc9491' class='xr-var-data-in' type='checkbox'><label for='data-8ea02e28-5420-44d8-9142-ab8828fc9491' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Water temperature change</dd><dt><span>units :</span></dt><dd>degC</dd><dt><span>description :</span></dt><dd>Water temperature change</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[nan]]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-ff7dea25-9fc6-4e4d-8a66-3407377c9fcb' class='xr-section-summary-in' type='checkbox'  ><label for='section-ff7dea25-9fc6-4e4d-8a66-3407377c9fcb' class='xr-section-summary' >Indexes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>Seconds</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-f20abc13-5611-4da7-a57d-5b8c4d0c0861' class='xr-index-data-in' type='checkbox'/><label for='index-f20abc13-5611-4da7-a57d-5b8c4d0c0861' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([0, 1], dtype=&#x27;int32&#x27;, name=&#x27;Seconds&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-377ead69-5b40-43b3-8194-45ef6e922852' class='xr-index-data-in' type='checkbox'/><label for='index-377ead69-5b40-43b3-8194-45ef6e922852' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([1.0], dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>y</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-c7379ed1-18e6-4ea6-a51d-665070f8f4c5' class='xr-index-data-in' type='checkbox'/><label for='index-c7379ed1-18e6-4ea6-a51d-665070f8f4c5' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([1.0], dtype=&#x27;float64&#x27;, name=&#x27;y&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-f6592297-1ea6-4e9d-8e04-4e7da06d7d60' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-f6592297-1ea6-4e9d-8e04-4e7da06d7d60' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.Dataset>\n",
       "Dimensions:            (Seconds: 2, x: 1, y: 1)\n",
       "Coordinates:\n",
       "  * Seconds            (Seconds) int32 0 1\n",
       "  * x                  (x) float64 1.0\n",
       "  * y                  (y) float64 1.0\n",
       "Data variables: (12/52)\n",
       "    water_temp_c       (Seconds, x, y) float64 20.0 nan\n",
       "    surface_area       (Seconds, x, y) float64 1.0 nan\n",
       "    volume             (Seconds, x, y) float64 1.0 nan\n",
       "    use_sed_temp       (x, y) bool True\n",
       "    stefan_boltzmann   (x, y) float64 5.67e-08\n",
       "    cp_air             (x, y) int32 1005\n",
       "    ...                 ...\n",
       "    q_sensible         (Seconds, x, y) float64 nan nan\n",
       "    q_sediment         (Seconds, x, y) float64 nan nan\n",
       "    q_net              (Seconds, x, y) float64 nan nan\n",
       "    q_longwave_down    (Seconds, x, y) float64 nan nan\n",
       "    q_longwave_up      (Seconds, x, y) float64 nan nan\n",
       "    dTdt_water_c       (Seconds, x, y) float64 nan nan"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tsm_model.dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Run the `increment_timestep` method to compute the updated water temperature.  The updated values are shown in the second column of the x-array dataset. Since the timestep size is one second, the change in water temperature is quite small. Click the icon that looks like 3 stacked discs labled \"View/Hide data repr\" to view the updated water temperature unrounded. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
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       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:            (Seconds: 2, x: 1, y: 1)\n",
       "Coordinates:\n",
       "  * Seconds            (Seconds) int32 0 1\n",
       "  * x                  (x) float64 1.0\n",
       "  * y                  (y) float64 1.0\n",
       "Data variables: (12/52)\n",
       "    water_temp_c       (Seconds, x, y) float64 20.0 16.87\n",
       "    surface_area       (Seconds, x, y) float64 1.0 1.0\n",
       "    volume             (Seconds, x, y) float64 1.0 1.0\n",
       "    use_sed_temp       (x, y) bool True\n",
       "    stefan_boltzmann   (x, y) float64 5.67e-08\n",
       "    cp_air             (x, y) int32 1005\n",
       "    ...                 ...\n",
       "    q_sensible         (Seconds, x, y) float64 nan 0.0\n",
       "    q_sediment         (Seconds, x, y) float64 nan -401.5\n",
       "    q_net              (Seconds, x, y) float64 nan -1.305e+07\n",
       "    q_longwave_down    (Seconds, x, y) float64 nan 337.8\n",
       "    q_longwave_up      (Seconds, x, y) float64 nan 406.2\n",
       "    dTdt_water_c       (Seconds, x, y) float64 nan -3.127</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-d3fdccb8-5a16-4103-8675-66439082241d' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-d3fdccb8-5a16-4103-8675-66439082241d' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>Seconds</span>: 2</li><li><span class='xr-has-index'>x</span>: 1</li><li><span class='xr-has-index'>y</span>: 1</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-90131d1a-193c-4b32-9366-3fec07becddc' class='xr-section-summary-in' type='checkbox'  checked><label for='section-90131d1a-193c-4b32-9366-3fec07becddc' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>Seconds</span></div><div class='xr-var-dims'>(Seconds)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 1</div><input id='attrs-247374c1-1fbb-40e8-addf-e5bea0be1f5e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-247374c1-1fbb-40e8-addf-e5bea0be1f5e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-83556e47-2f15-4a75-a41c-a9fcc2789418' class='xr-var-data-in' type='checkbox'><label for='data-83556e47-2f15-4a75-a41c-a9fcc2789418' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.0</div><input id='attrs-c5ae1c45-001c-4750-8eda-4ba077797a1d' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c5ae1c45-001c-4750-8eda-4ba077797a1d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b78e8c8c-0228-4e08-9a1f-061aba6dd50f' class='xr-var-data-in' type='checkbox'><label for='data-b78e8c8c-0228-4e08-9a1f-061aba6dd50f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([1.])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.0</div><input id='attrs-bccb6b2b-db91-4b86-9318-820071411f63' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-bccb6b2b-db91-4b86-9318-820071411f63' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-81b54185-fe68-4270-9e6e-5a61ab402840' class='xr-var-data-in' type='checkbox'><label for='data-81b54185-fe68-4270-9e6e-5a61ab402840' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([1.])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-f6293a8b-5f73-4456-8576-d7ad4681c132' class='xr-section-summary-in' type='checkbox'  ><label for='section-f6293a8b-5f73-4456-8576-d7ad4681c132' class='xr-section-summary' >Data variables: <span>(52)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>water_temp_c</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>20.0 16.87</div><input id='attrs-49d087d1-689c-486e-b7ae-f8d5f94b9a5d' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-49d087d1-689c-486e-b7ae-f8d5f94b9a5d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-bf13633c-40ac-44b6-85eb-56f270b43e0a' class='xr-var-data-in' type='checkbox'><label for='data-bf13633c-40ac-44b6-85eb-56f270b43e0a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Water temperature</dd><dt><span>units :</span></dt><dd>degC</dd><dt><span>description :</span></dt><dd>TSM state variable for water temperature</dd></dl></div><div class='xr-var-data'><pre>array([[[20.        ]],\n",
       "\n",
       "       [[16.87279548]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>surface_area</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.0 1.0</div><input id='attrs-23b7901a-c6d3-4fb8-8970-618b6576404e' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-23b7901a-c6d3-4fb8-8970-618b6576404e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6b10f9a3-c6a7-4dc7-82d1-6b160bcdb77e' class='xr-var-data-in' type='checkbox'><label for='data-6b10f9a3-c6a7-4dc7-82d1-6b160bcdb77e' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Surface area</dd><dt><span>units :</span></dt><dd>m^2</dd><dt><span>description :</span></dt><dd>Surface area</dd></dl></div><div class='xr-var-data'><pre>array([[[1.]],\n",
       "\n",
       "       [[1.]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>volume</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.0 1.0</div><input id='attrs-6f3adc38-81d5-4d16-9f04-d1551263a1d8' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-6f3adc38-81d5-4d16-9f04-d1551263a1d8' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b124abe8-a28f-4d8e-a5a9-6fbbca10cb60' class='xr-var-data-in' type='checkbox'><label for='data-b124abe8-a28f-4d8e-a5a9-6fbbca10cb60' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Volume</dd><dt><span>units :</span></dt><dd>m^3</dd><dt><span>description :</span></dt><dd>Volume</dd></dl></div><div class='xr-var-data'><pre>array([[[1.]],\n",
       "\n",
       "       [[1.]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>use_sed_temp</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>bool</div><div class='xr-var-preview xr-preview'>True</div><input id='attrs-48fbea6e-2247-4dda-b0d5-cabc2aa80650' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-48fbea6e-2247-4dda-b0d5-cabc2aa80650' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a0b8a863-abb4-42fb-85ef-686a56860137' class='xr-var-data-in' type='checkbox'><label for='data-a0b8a863-abb4-42fb-85ef-686a56860137' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Use Sediment Temperature?</dd><dt><span>units :</span></dt><dd>boolean</dd><dt><span>description :</span></dt><dd>Controls whether to use/calculate sediment temperature or not.</dd></dl></div><div class='xr-var-data'><pre>array([[ True]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>stefan_boltzmann</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>5.67e-08</div><input id='attrs-d155d78a-87a1-4dd7-92bf-6cd55ee3202d' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-d155d78a-87a1-4dd7-92bf-6cd55ee3202d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-24980fd5-29ec-4b35-9955-5e19540a3a46' class='xr-var-data-in' type='checkbox'><label for='data-24980fd5-29ec-4b35-9955-5e19540a3a46' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Stefan-Boltzmann Constant</dd><dt><span>units :</span></dt><dd>W m-2 K-4</dd><dt><span>description :</span></dt><dd>The Stefan-Boltzmann constant.</dd></dl></div><div class='xr-var-data'><pre>array([[5.67e-08]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>cp_air</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1005</div><input id='attrs-21ca7a05-5057-4408-acd6-e35bbd174547' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-21ca7a05-5057-4408-acd6-e35bbd174547' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-0876c002-73bd-4a33-bbef-ea2b78c3ed90' class='xr-var-data-in' type='checkbox'><label for='data-0876c002-73bd-4a33-bbef-ea2b78c3ed90' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Specific Heat Capacity of Air</dd><dt><span>units :</span></dt><dd>J kg-1 K-1</dd><dt><span>description :</span></dt><dd>The specific heat capacity of air.</dd></dl></div><div class='xr-var-data'><pre>array([[1005]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>emissivity_water</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.97</div><input id='attrs-036a62cf-dc5d-4c44-af6b-6feb12435f4c' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-036a62cf-dc5d-4c44-af6b-6feb12435f4c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-84b253e6-84ae-4132-9f8e-bc95638c48c1' class='xr-var-data-in' type='checkbox'><label for='data-84b253e6-84ae-4132-9f8e-bc95638c48c1' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Emissivity of Water</dd><dt><span>units :</span></dt><dd>1</dd><dt><span>description :</span></dt><dd>The emissivity of water.</dd></dl></div><div class='xr-var-data'><pre>array([[0.97]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>gravity</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>9.806</div><input id='attrs-0ecbf7bc-f943-4efa-b30b-d5c57adcba3a' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-0ecbf7bc-f943-4efa-b30b-d5c57adcba3a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-62dcf512-4143-42b3-b523-0c153280f1d4' class='xr-var-data-in' type='checkbox'><label for='data-62dcf512-4143-42b3-b523-0c153280f1d4' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Gravity</dd><dt><span>units :</span></dt><dd>m s-2</dd><dt><span>description :</span></dt><dd>The acceleration due to gravity.</dd></dl></div><div class='xr-var-data'><pre>array([[9.806]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a0</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>6.985e+03</div><input id='attrs-16f45408-3931-42ae-bcd6-ecb9abadf932' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-16f45408-3931-42ae-bcd6-ecb9abadf932' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-10b6ccad-1265-470c-b743-329eebefa62d' class='xr-var-data-in' type='checkbox'><label for='data-10b6ccad-1265-470c-b743-329eebefa62d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[6984.505294]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a1</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-188.9</div><input id='attrs-14fc513f-140a-4d59-b859-7e110d7a76a9' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-14fc513f-140a-4d59-b859-7e110d7a76a9' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-afc119f7-452d-4ca8-be72-b2952f3d1d90' class='xr-var-data-in' type='checkbox'><label for='data-afc119f7-452d-4ca8-be72-b2952f3d1d90' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[-188.903931]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a2</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>2.133</div><input id='attrs-fb84fabf-58e9-4471-90eb-5c26e33cffee' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-fb84fabf-58e9-4471-90eb-5c26e33cffee' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b6f31ed2-e78a-4402-a782-4e90d084c802' class='xr-var-data-in' type='checkbox'><label for='data-b6f31ed2-e78a-4402-a782-4e90d084c802' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[2.13335768]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a3</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-0.01289</div><input id='attrs-2316e182-b9c3-45ad-83d7-c955130135dc' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-2316e182-b9c3-45ad-83d7-c955130135dc' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-adc90a67-0319-4f87-ab97-98d936210fda' class='xr-var-data-in' type='checkbox'><label for='data-adc90a67-0319-4f87-ab97-98d936210fda' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[-0.01288581]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a4</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>4.394e-05</div><input id='attrs-ff44d13e-3afe-4afc-a89f-0c101bde445e' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-ff44d13e-3afe-4afc-a89f-0c101bde445e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c475e80b-6c43-4252-81be-9b7e79c989c1' class='xr-var-data-in' type='checkbox'><label for='data-c475e80b-6c43-4252-81be-9b7e79c989c1' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[4.39359e-05]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a5</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-8.024e-08</div><input id='attrs-619d175b-d8f0-4a62-8bba-ac55ec8fc8c8' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-619d175b-d8f0-4a62-8bba-ac55ec8fc8c8' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-965afbe1-c166-410b-b0eb-17a2a7e0f811' class='xr-var-data-in' type='checkbox'><label for='data-965afbe1-c166-410b-b0eb-17a2a7e0f811' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[-8.02392e-08]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a6</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>6.137e-11</div><input id='attrs-0589e8d5-0675-4a25-8260-ed5e12bc1be8' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-0589e8d5-0675-4a25-8260-ed5e12bc1be8' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-36dbfe64-3f4e-4be6-88fc-d0ae86c7ba58' class='xr-var-data-in' type='checkbox'><label for='data-36dbfe64-3f4e-4be6-88fc-d0ae86c7ba58' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[6.13682e-11]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>pb</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1600</div><input id='attrs-c45a37fd-9c8e-4795-acd3-95cd0edd73f6' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-c45a37fd-9c8e-4795-acd3-95cd0edd73f6' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b0fe6c8f-3735-44d9-ada2-fe715422ffb9' class='xr-var-data-in' type='checkbox'><label for='data-b0fe6c8f-3735-44d9-ada2-fe715422ffb9' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Bulk Density of Sediment</dd><dt><span>units :</span></dt><dd>kg m-3</dd><dt><span>description :</span></dt><dd>The bulk density of sediment.</dd></dl></div><div class='xr-var-data'><pre>array([[1600]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>cps</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1673</div><input id='attrs-309e4e0f-354c-41aa-8509-28defaccc2c4' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-309e4e0f-354c-41aa-8509-28defaccc2c4' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a38e268a-334e-4865-a9ec-b39b89570e8a' class='xr-var-data-in' type='checkbox'><label for='data-a38e268a-334e-4865-a9ec-b39b89570e8a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>CPS</dd><dt><span>units :</span></dt><dd>J kg-1 K-1</dd><dt><span>description :</span></dt><dd>The CPS.</dd></dl></div><div class='xr-var-data'><pre>array([[1673]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>h2</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.1</div><input id='attrs-58f0ae05-52e1-465e-aeaf-81236ae49f7e' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-58f0ae05-52e1-465e-aeaf-81236ae49f7e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-7be5ffc7-09b1-4c71-89ee-f836800ab750' class='xr-var-data-in' type='checkbox'><label for='data-7be5ffc7-09b1-4c71-89ee-f836800ab750' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>H2</dd><dt><span>units :</span></dt><dd>m</dd><dt><span>description :</span></dt><dd>The H2.</dd></dl></div><div class='xr-var-data'><pre>array([[0.1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>alphas</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0432</div><input id='attrs-d4596691-238a-4c9b-af15-5855b3409812' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-d4596691-238a-4c9b-af15-5855b3409812' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6bd0292e-c4b2-4c67-922b-7af190ff6d89' class='xr-var-data-in' type='checkbox'><label for='data-6bd0292e-c4b2-4c67-922b-7af190ff6d89' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Alphas</dd><dt><span>units :</span></dt><dd>m-1</dd><dt><span>description :</span></dt><dd>The alphas.</dd></dl></div><div class='xr-var-data'><pre>array([[0.0432]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>richardson_option</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>bool</div><div class='xr-var-preview xr-preview'>True</div><input id='attrs-9c308929-36a6-4cae-a80e-1ecb4d4d9481' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-9c308929-36a6-4cae-a80e-1ecb4d4d9481' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a6d9fe2b-03b9-411e-a759-3e0ec8c8b9a4' class='xr-var-data-in' type='checkbox'><label for='data-a6d9fe2b-03b9-411e-a759-3e0ec8c8b9a4' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Richardson Option</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The Richardson option.</dd></dl></div><div class='xr-var-data'><pre>array([[ True]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>air_temp_c</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>20</div><input id='attrs-ffa74400-a3ac-4589-b3c6-136001249255' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-ffa74400-a3ac-4589-b3c6-136001249255' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-7fd967f2-3b98-44ed-95ad-2cb8fb35b9d8' class='xr-var-data-in' type='checkbox'><label for='data-7fd967f2-3b98-44ed-95ad-2cb8fb35b9d8' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Air Temperature</dd><dt><span>units :</span></dt><dd>C</dd><dt><span>description :</span></dt><dd>The air temperature.</dd></dl></div><div class='xr-var-data'><pre>array([[20]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>q_solar</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>400</div><input id='attrs-39de0140-cbcf-4e33-a8a7-8f709255950d' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-39de0140-cbcf-4e33-a8a7-8f709255950d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-bccb9fe8-6aeb-4201-8749-cfd9d2e7b2a7' class='xr-var-data-in' type='checkbox'><label for='data-bccb9fe8-6aeb-4201-8749-cfd9d2e7b2a7' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Solar Heat Flux</dd><dt><span>units :</span></dt><dd>W m-2</dd><dt><span>description :</span></dt><dd>The solar heat flux.</dd></dl></div><div class='xr-var-data'><pre>array([[400]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>sed_temp_c</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>5</div><input id='attrs-d1d9288c-45d4-4d81-a97b-86c6a8ea8f59' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-d1d9288c-45d4-4d81-a97b-86c6a8ea8f59' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f2161097-a306-4bdf-98e9-ab683302b924' class='xr-var-data-in' type='checkbox'><label for='data-f2161097-a306-4bdf-98e9-ab683302b924' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Sediment Temperature</dd><dt><span>units :</span></dt><dd>C</dd><dt><span>description :</span></dt><dd>The sediment temperature.</dd></dl></div><div class='xr-var-data'><pre>array([[5]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>eair_mb</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1</div><input id='attrs-4d8248ab-4f2c-49fc-a072-2bf851c61723' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-4d8248ab-4f2c-49fc-a072-2bf851c61723' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e58cd92f-e228-46cb-9708-2f5f2897d029' class='xr-var-data-in' type='checkbox'><label for='data-e58cd92f-e228-46cb-9708-2f5f2897d029' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Vapor pressure</dd><dt><span>units :</span></dt><dd>mb</dd><dt><span>description :</span></dt><dd>Vapor pressure</dd></dl></div><div class='xr-var-data'><pre>array([[1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>pressure_mb</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1013</div><input id='attrs-09b3f475-b115-4544-8805-30bd95de2764' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-09b3f475-b115-4544-8805-30bd95de2764' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-236f9265-bc93-4fe1-9659-604dae858d2f' class='xr-var-data-in' type='checkbox'><label for='data-236f9265-bc93-4fe1-9659-604dae858d2f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Pressure</dd><dt><span>units :</span></dt><dd>mb</dd><dt><span>description :</span></dt><dd>The pressure.</dd></dl></div><div class='xr-var-data'><pre>array([[1013]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>cloudiness</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.1</div><input id='attrs-29916631-1da4-45e6-bdb9-d21a76b2042c' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-29916631-1da4-45e6-bdb9-d21a76b2042c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ab0dc6ac-c97f-4366-ad91-182c5c19d145' class='xr-var-data-in' type='checkbox'><label for='data-ab0dc6ac-c97f-4366-ad91-182c5c19d145' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Cloudiness</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The cloudiness.</dd></dl></div><div class='xr-var-data'><pre>array([[0.1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_speed</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>3</div><input id='attrs-bd377331-4a2c-426c-9e42-1fa9ca4b5d8b' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-bd377331-4a2c-426c-9e42-1fa9ca4b5d8b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f1cb2adb-d681-41cf-a4f2-7de4ead1a1fb' class='xr-var-data-in' type='checkbox'><label for='data-f1cb2adb-d681-41cf-a4f2-7de4ead1a1fb' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind Speed</dd><dt><span>units :</span></dt><dd>m s-1</dd><dt><span>description :</span></dt><dd>The wind speed.</dd></dl></div><div class='xr-var-data'><pre>array([[3]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_a</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.3</div><input id='attrs-4c2f794a-0465-4be3-8e13-f0b0a91316e3' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-4c2f794a-0465-4be3-8e13-f0b0a91316e3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-930c0a7a-f666-4c22-ada1-4cf751e0a13e' class='xr-var-data-in' type='checkbox'><label for='data-930c0a7a-f666-4c22-ada1-4cf751e0a13e' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind A</dd><dt><span>units :</span></dt><dd>m s-1</dd><dt><span>description :</span></dt><dd>The wind A.</dd></dl></div><div class='xr-var-data'><pre>array([[0.3]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_b</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.5</div><input id='attrs-4a879625-f8fe-432e-97f0-c5690bc559b6' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-4a879625-f8fe-432e-97f0-c5690bc559b6' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e33cd060-fa2d-4902-9137-40229d15a013' class='xr-var-data-in' type='checkbox'><label for='data-e33cd060-fa2d-4902-9137-40229d15a013' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind B</dd><dt><span>units :</span></dt><dd>m s-1</dd><dt><span>description :</span></dt><dd>The wind B.</dd></dl></div><div class='xr-var-data'><pre>array([[1.5]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_c</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1</div><input id='attrs-1e93b00e-3895-4b2b-8e7d-debc4356dc91' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-1e93b00e-3895-4b2b-8e7d-debc4356dc91' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e19247c8-eb6c-452f-8cf8-b2abc034b5a7' class='xr-var-data-in' type='checkbox'><label for='data-e19247c8-eb6c-452f-8cf8-b2abc034b5a7' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind C</dd><dt><span>units :</span></dt><dd>m s-1</dd><dt><span>description :</span></dt><dd>The wind C.</dd></dl></div><div class='xr-var-data'><pre>array([[1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_kh_kw</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1</div><input id='attrs-9446f7da-8d46-46ad-846f-ecc05d784501' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-9446f7da-8d46-46ad-846f-ecc05d784501' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f34ae21b-d0be-41be-8d3f-dcc4ff745e27' class='xr-var-data-in' type='checkbox'><label for='data-f34ae21b-d0be-41be-8d3f-dcc4ff745e27' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind KH KW</dd><dt><span>units :</span></dt><dd>m s-1</dd><dt><span>description :</span></dt><dd>The wind KH KW.</dd></dl></div><div class='xr-var-data'><pre>array([[1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dt</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1</div><input id='attrs-4585d55c-2f95-4308-9b7e-90fd6feb3c48' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-4585d55c-2f95-4308-9b7e-90fd6feb3c48' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-89532b56-e64d-40bc-be6d-464b2506ed02' class='xr-var-data-in' type='checkbox'><label for='data-89532b56-e64d-40bc-be6d-464b2506ed02' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>dt</dd><dt><span>units :</span></dt><dd>d</dd><dt><span>description :</span></dt><dd>calculation dt</dd></dl></div><div class='xr-var-data'><pre>array([[1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>air_temp_k</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 293.2</div><input id='attrs-5f4f7de2-464c-49b9-bb2f-2ebf1135c8cd' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-5f4f7de2-464c-49b9-bb2f-2ebf1135c8cd' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-7c40086b-2116-4e33-a281-1ff7b3e17f05' class='xr-var-data-in' type='checkbox'><label for='data-7c40086b-2116-4e33-a281-1ff7b3e17f05' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Air temperature</dd><dt><span>units :</span></dt><dd>K</dd><dt><span>description :</span></dt><dd>Air temperature</dd></dl></div><div class='xr-var-data'><pre>array([[[   nan]],\n",
       "\n",
       "       [[293.16]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>water_temp_k</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 293.2</div><input id='attrs-1fac7987-dcb2-4a36-b459-447a1d4bc2cb' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-1fac7987-dcb2-4a36-b459-447a1d4bc2cb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a89ed313-a950-433d-afc0-7a0ddeb3f6d9' class='xr-var-data-in' type='checkbox'><label for='data-a89ed313-a950-433d-afc0-7a0ddeb3f6d9' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Water temperature</dd><dt><span>units :</span></dt><dd>K</dd><dt><span>description :</span></dt><dd>Water temperature</dd></dl></div><div class='xr-var-data'><pre>array([[[   nan]],\n",
       "\n",
       "       [[293.16]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>mixing_ratio_air</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 0.0006146</div><input id='attrs-469ad891-02bc-4675-9abf-1fa4972a9fe6' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-469ad891-02bc-4675-9abf-1fa4972a9fe6' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f5238bda-8ac4-440d-a732-864281865456' class='xr-var-data-in' type='checkbox'><label for='data-f5238bda-8ac4-440d-a732-864281865456' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Mixing ratio of air</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>Mixing ratio of air</dd></dl></div><div class='xr-var-data'><pre>array([[[       nan]],\n",
       "\n",
       "       [[0.00061462]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>density_air</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 1.202</div><input id='attrs-065e92ee-ea15-42a6-bc51-0f03403c9819' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-065e92ee-ea15-42a6-bc51-0f03403c9819' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8f62857a-cbe2-4ee5-ab54-be991dad4d3c' class='xr-var-data-in' type='checkbox'><label for='data-8f62857a-cbe2-4ee5-ab54-be991dad4d3c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Density of air</dd><dt><span>units :</span></dt><dd>kg/m^3</dd><dt><span>description :</span></dt><dd>Density of air</dd></dl></div><div class='xr-var-data'><pre>array([[[       nan]],\n",
       "\n",
       "       [[1.20204653]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>density_water</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 998.2</div><input id='attrs-a1943e0b-6e3e-43fd-8e7c-3d80c6cebe04' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-a1943e0b-6e3e-43fd-8e7c-3d80c6cebe04' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ed952acd-04f4-4a81-8ec2-3dffdcf34e9c' class='xr-var-data-in' type='checkbox'><label for='data-ed952acd-04f4-4a81-8ec2-3dffdcf34e9c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Density of water</dd><dt><span>units :</span></dt><dd>kg/m^3</dd><dt><span>description :</span></dt><dd>Density of water</dd></dl></div><div class='xr-var-data'><pre>array([[[         nan]],\n",
       "\n",
       "       [[998.20668383]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>esat_mb</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 23.63</div><input id='attrs-43c18261-fb85-4a4e-8e84-6a501befbaa2' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-43c18261-fb85-4a4e-8e84-6a501befbaa2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-9f10e7bf-941e-4524-b385-4697e9724797' class='xr-var-data-in' type='checkbox'><label for='data-9f10e7bf-941e-4524-b385-4697e9724797' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Saturation vapor pressure</dd><dt><span>units :</span></dt><dd>mb</dd><dt><span>description :</span></dt><dd>Saturation vapor pressure</dd></dl></div><div class='xr-var-data'><pre>array([[[        nan]],\n",
       "\n",
       "       [[23.62941518]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>density_air_sat</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 1.192</div><input id='attrs-2533130c-2733-4107-9a1e-60b114b94194' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-2533130c-2733-4107-9a1e-60b114b94194' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-2e8fdafd-bbed-459e-bbcf-fc2ee81c66de' class='xr-var-data-in' type='checkbox'><label for='data-2e8fdafd-bbed-459e-bbcf-fc2ee81c66de' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Density of air at saturation</dd><dt><span>units :</span></dt><dd>kg/m^3</dd><dt><span>description :</span></dt><dd>Density of air at saturation</dd></dl></div><div class='xr-var-data'><pre>array([[[       nan]],\n",
       "\n",
       "       [[1.19185468]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>ri_number</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 0.01848</div><input id='attrs-1f1ad38e-78f5-428f-8954-d019ce34db5f' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-1f1ad38e-78f5-428f-8954-d019ce34db5f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-851d8809-7986-45b8-9672-721c64170d81' class='xr-var-data-in' type='checkbox'><label for='data-851d8809-7986-45b8-9672-721c64170d81' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Richardson number</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>Richardson number</dd></dl></div><div class='xr-var-data'><pre>array([[[       nan]],\n",
       "\n",
       "       [[0.01847614]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>ri_function</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 0.6771</div><input id='attrs-13c6e0fb-85f0-4787-a4d3-2f19c0c97fd0' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-13c6e0fb-85f0-4787-a4d3-2f19c0c97fd0' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-0c228b16-ea9c-4673-9575-41eb918106d8' class='xr-var-data-in' type='checkbox'><label for='data-0c228b16-ea9c-4673-9575-41eb918106d8' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Richardson function</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>Richardson function</dd></dl></div><div class='xr-var-data'><pre>array([[[       nan]],\n",
       "\n",
       "       [[0.67707413]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>lv</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 1.801e+06</div><input id='attrs-28ff4324-4f6f-46de-b7ee-f96bf136b629' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-28ff4324-4f6f-46de-b7ee-f96bf136b629' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-2c765cc0-af16-4a88-bcb4-9b06000fd9b7' class='xr-var-data-in' type='checkbox'><label for='data-2c765cc0-af16-4a88-bcb4-9b06000fd9b7' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Latent heat of vaporization</dd><dt><span>units :</span></dt><dd>J/kg</dd><dt><span>description :</span></dt><dd>Latent heat of vaporization</dd></dl></div><div class='xr-var-data'><pre>array([[[         nan]],\n",
       "\n",
       "       [[1800595.4616]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>cp_water</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 4.182e+03</div><input id='attrs-fb058789-22ae-40a7-bb1f-1e4c4d14d429' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-fb058789-22ae-40a7-bb1f-1e4c4d14d429' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a0391d26-962d-4fa4-b7be-146395eb62cc' class='xr-var-data-in' type='checkbox'><label for='data-a0391d26-962d-4fa4-b7be-146395eb62cc' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Specific heat of water</dd><dt><span>units :</span></dt><dd>J/kg/K</dd><dt><span>description :</span></dt><dd>Specific heat of water</dd></dl></div><div class='xr-var-data'><pre>array([[[  nan]],\n",
       "\n",
       "       [[4182.]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>emissivity_air</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 0.8053</div><input id='attrs-b30eca66-0382-48fb-9328-68a1284cfd9a' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-b30eca66-0382-48fb-9328-68a1284cfd9a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-7c5ef46b-eada-4a59-a67d-1034fc9ca7ad' class='xr-var-data-in' type='checkbox'><label for='data-7c5ef46b-eada-4a59-a67d-1034fc9ca7ad' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Emissivity of air</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>Emissivity of air</dd></dl></div><div class='xr-var-data'><pre>array([[[      nan]],\n",
       "\n",
       "       [[0.8052839]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_function</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 3.25e-06</div><input id='attrs-d2615347-c3c7-44ef-8c40-a4a146d61cb3' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-d2615347-c3c7-44ef-8c40-a4a146d61cb3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f2ddca8a-d610-4e23-9ca8-9559ae621b07' class='xr-var-data-in' type='checkbox'><label for='data-f2ddca8a-d610-4e23-9ca8-9559ae621b07' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind function</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>Wind function</dd></dl></div><div class='xr-var-data'><pre>array([[[          nan]],\n",
       "\n",
       "       [[3.2499558e-06]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>q_latent</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 81.16</div><input id='attrs-719ee36e-fa41-4f6b-952a-619d991cd88f' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-719ee36e-fa41-4f6b-952a-619d991cd88f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-fbf91b59-47ba-4ad9-8e61-c207f1ddaeb6' class='xr-var-data-in' type='checkbox'><label for='data-fbf91b59-47ba-4ad9-8e61-c207f1ddaeb6' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Latent heat flux</dd><dt><span>units :</span></dt><dd>W/m^2</dd><dt><span>description :</span></dt><dd>Latent heat flux</dd></dl></div><div class='xr-var-data'><pre>array([[[       nan]],\n",
       "\n",
       "       [[81.1649171]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>q_sensible</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 0.0</div><input id='attrs-eb1ae487-43a6-460c-8a47-ed4307c6a910' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-eb1ae487-43a6-460c-8a47-ed4307c6a910' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-627f634b-348b-436a-bf19-689f23c268d1' class='xr-var-data-in' type='checkbox'><label for='data-627f634b-348b-436a-bf19-689f23c268d1' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Sensible heat flux</dd><dt><span>units :</span></dt><dd>W/m^2</dd><dt><span>description :</span></dt><dd>Sensible heat flux</dd></dl></div><div class='xr-var-data'><pre>array([[[nan]],\n",
       "\n",
       "       [[ 0.]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>q_sediment</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan -401.5</div><input id='attrs-4fc8b211-93d5-4326-9db3-fcc4dc5e3b32' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-4fc8b211-93d5-4326-9db3-fcc4dc5e3b32' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-929d1997-23ab-4674-8463-2ad76e48ac0e' class='xr-var-data-in' type='checkbox'><label for='data-929d1997-23ab-4674-8463-2ad76e48ac0e' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Sediment heat flux</dd><dt><span>units :</span></dt><dd>W/m^2</dd><dt><span>description :</span></dt><dd>Sediment heat flux</dd></dl></div><div class='xr-var-data'><pre>array([[[    nan]],\n",
       "\n",
       "       [[-401.52]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>q_net</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan -1.305e+07</div><input id='attrs-d830378f-b2b2-4c87-b574-af484128e03a' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-d830378f-b2b2-4c87-b574-af484128e03a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5c6642b4-c1cc-4b5e-b198-8e8aeeac514f' class='xr-var-data-in' type='checkbox'><label for='data-5c6642b4-c1cc-4b5e-b198-8e8aeeac514f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Net heat flux</dd><dt><span>units :</span></dt><dd>W/m^2</dd><dt><span>description :</span></dt><dd>Net heat flux</dd></dl></div><div class='xr-var-data'><pre>array([[[               nan]],\n",
       "\n",
       "       [[-13054516.35486514]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>q_longwave_down</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 337.8</div><input id='attrs-eea0d5d0-fa48-42af-af07-7e360aed8154' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-eea0d5d0-fa48-42af-af07-7e360aed8154' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d6223f53-9ed7-4c2b-985e-7355907cc89e' class='xr-var-data-in' type='checkbox'><label for='data-d6223f53-9ed7-4c2b-985e-7355907cc89e' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Downwelling longwave radiation</dd><dt><span>units :</span></dt><dd>W/m2</dd><dt><span>description :</span></dt><dd>Downwelling longwave radiation</dd></dl></div><div class='xr-var-data'><pre>array([[[         nan]],\n",
       "\n",
       "       [[337.82252346]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>q_longwave_up</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan 406.2</div><input id='attrs-da9281f0-d36f-4e52-a3f0-2bf225537ee7' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-da9281f0-d36f-4e52-a3f0-2bf225537ee7' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-15fc83c2-a20a-4b11-b342-8177105a8c63' class='xr-var-data-in' type='checkbox'><label for='data-15fc83c2-a20a-4b11-b342-8177105a8c63' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Upwelling longwave radiation</dd><dt><span>units :</span></dt><dd>W/m2</dd><dt><span>description :</span></dt><dd>Upwelling longwave radiation</dd></dl></div><div class='xr-var-data'><pre>array([[[         nan]],\n",
       "\n",
       "       [[406.23154566]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dTdt_water_c</span></div><div class='xr-var-dims'>(Seconds, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan -3.127</div><input id='attrs-94fe7f5d-e91c-4bd7-b050-16b1253372f6' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-94fe7f5d-e91c-4bd7-b050-16b1253372f6' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-9e3354c4-2eff-4c1b-835c-a6de0febac12' class='xr-var-data-in' type='checkbox'><label for='data-9e3354c4-2eff-4c1b-835c-a6de0febac12' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Water temperature change</dd><dt><span>units :</span></dt><dd>degC</dd><dt><span>description :</span></dt><dd>Water temperature change</dd></dl></div><div class='xr-var-data'><pre>array([[[        nan]],\n",
       "\n",
       "       [[-3.12720452]]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-f365037b-7ce6-49c7-a041-e15d28d93899' class='xr-section-summary-in' type='checkbox'  ><label for='section-f365037b-7ce6-49c7-a041-e15d28d93899' class='xr-section-summary' >Indexes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>Seconds</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-8cd72f9b-3511-4a46-adf1-fc9a657f0e90' class='xr-index-data-in' type='checkbox'/><label for='index-8cd72f9b-3511-4a46-adf1-fc9a657f0e90' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([0, 1], dtype=&#x27;int32&#x27;, name=&#x27;Seconds&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-ab31e8a6-2922-4ece-964a-a106bf9fb4fa' class='xr-index-data-in' type='checkbox'/><label for='index-ab31e8a6-2922-4ece-964a-a106bf9fb4fa' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([1.0], dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>y</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-11f4e693-cc44-4eae-828c-0d9e9d499bd6' class='xr-index-data-in' type='checkbox'/><label for='index-11f4e693-cc44-4eae-828c-0d9e9d499bd6' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([1.0], dtype=&#x27;float64&#x27;, name=&#x27;y&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-350b1aad-05ec-46fd-91e7-cba7cc8206f4' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-350b1aad-05ec-46fd-91e7-cba7cc8206f4' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.Dataset>\n",
       "Dimensions:            (Seconds: 2, x: 1, y: 1)\n",
       "Coordinates:\n",
       "  * Seconds            (Seconds) int32 0 1\n",
       "  * x                  (x) float64 1.0\n",
       "  * y                  (y) float64 1.0\n",
       "Data variables: (12/52)\n",
       "    water_temp_c       (Seconds, x, y) float64 20.0 16.87\n",
       "    surface_area       (Seconds, x, y) float64 1.0 1.0\n",
       "    volume             (Seconds, x, y) float64 1.0 1.0\n",
       "    use_sed_temp       (x, y) bool True\n",
       "    stefan_boltzmann   (x, y) float64 5.67e-08\n",
       "    cp_air             (x, y) int32 1005\n",
       "    ...                 ...\n",
       "    q_sensible         (Seconds, x, y) float64 nan 0.0\n",
       "    q_sediment         (Seconds, x, y) float64 nan -401.5\n",
       "    q_net              (Seconds, x, y) float64 nan -1.305e+07\n",
       "    q_longwave_down    (Seconds, x, y) float64 nan 337.8\n",
       "    q_longwave_up      (Seconds, x, y) float64 nan 406.2\n",
       "    dTdt_water_c       (Seconds, x, y) float64 nan -3.127"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tsm_model.increment_timestep()\n",
    "tsm_model.dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To view the computation order that was determined by the sorter for TSM, run the code below. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Variable | Inputs\n",
      "------------------\n",
      "air_temp_k | ['air_temp_c']\n",
      "water_temp_k | ['water_temp_c']\n",
      "mixing_ratio_air | ['eair_mb', 'pressure_mb']\n",
      "density_air | ['pressure_mb', 'air_temp_k', 'mixing_ratio_air']\n",
      "density_water | ['water_temp_c']\n",
      "esat_mb | ['water_temp_k', 'a0', 'a1', 'a2', 'a3', 'a4', 'a5', 'a6']\n",
      "density_air_sat | ['water_temp_k', 'esat_mb', 'pressure_mb']\n",
      "ri_number | ['gravity', 'density_air', 'density_air_sat', 'wind_speed']\n",
      "ri_function | ['ri_number']\n",
      "lv | ['water_temp_k']\n",
      "cp_water | ['water_temp_c']\n",
      "emissivity_air | ['air_temp_k']\n",
      "wind_function | ['ri_function', 'wind_a', 'wind_b', 'wind_c', 'wind_speed']\n",
      "q_latent | ['pressure_mb', 'density_water', 'lv', 'wind_function', 'esat_mb', 'eair_mb']\n",
      "q_sensible | ['wind_kh_kw', 'cp_air', 'density_water', 'wind_function', 'air_temp_k', 'water_temp_k']\n",
      "q_sediment | ['use_sed_temp', 'pb', 'cps', 'alphas', 'h2', 'sed_temp_c', 'water_temp_c']\n",
      "q_longwave_down | ['air_temp_k', 'emissivity_air', 'cloudiness', 'stefan_boltzmann']\n",
      "q_longwave_up | ['water_temp_k', 'emissivity_water', 'stefan_boltzmann']\n",
      "surface_area | ['surface_area']\n",
      "volume | ['volume']\n",
      "q_net | ['q_sensible', 'q_latent', 'q_longwave_up', 'q_longwave_down', 'q_solar', 'q_sediment', 'dt']\n",
      "dTdt_water_c | ['q_net', 'surface_area', 'volume', 'density_water', 'cp_water']\n",
      "water_temp_c | ['water_temp_c', 'dTdt_water_c']\n"
     ]
    }
   ],
   "source": [
    "print('Variable | Inputs\\n------------------')\n",
    "for i in tsm_model.computation_order:\n",
    "    print(f'{i.name} | {sorter.get_process_args(i.process)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Using Model Defaults\n",
    "The example above defines all inputs to the model. Users can alternatively use the defaults defined by the model, or optionally update a subset of the variables by defining `updateable_static_variables`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initializing from dicts...\n",
      "Model initialized from input dicts successfully!.\n"
     ]
    }
   ],
   "source": [
    "# Define state values\n",
    "initial_state_values = {\n",
    "    'water_temp_c': 20,\n",
    "    'surface_area': 1,\n",
    "    'volume': 1\n",
    "}\n",
    "\n",
    "# Set air temperature; use defaults for others\n",
    "meteo_parameters = {\n",
    "    'air_temp_c': 10,\n",
    "}\n",
    "\n",
    "# Update dt, but otherwise \n",
    "temp_parameters = {\n",
    "    'dt': 30/86400, # 30 second timestep\n",
    "}\n",
    "\n",
    "\n",
    "time_steps = 2\n",
    "\n",
    "tsm_model = cwm.tsm.EnergyBudget(\n",
    "    time_steps=time_steps,\n",
    "    initial_state_values=initial_state_values,  # mandatory, \n",
    "    updateable_static_variables=['air_temp_c'], # allow air temperature to change\n",
    "    temp_parameters=temp_parameters,\n",
    "    meteo_parameters=meteo_parameters,\n",
    "    use_sed_temp=False,\n",
    "    track_dynamic_variables=False,\n",
    "    time_dim='time'\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'stefan_boltzmann': 5.67e-08,\n",
       " 'cp_air': 1005,\n",
       " 'emissivity_water': 0.97,\n",
       " 'gravity': 9.806,\n",
       " 'a0': 6984.505294,\n",
       " 'a1': -188.903931,\n",
       " 'a2': 2.133357675,\n",
       " 'a3': -0.01288581,\n",
       " 'a4': 4.39359e-05,\n",
       " 'a5': -8.02392e-08,\n",
       " 'a6': 6.13682e-11,\n",
       " 'pb': 1600,\n",
       " 'cps': 1673,\n",
       " 'h2': 0.1,\n",
       " 'alphas': 0.0432,\n",
       " 'richardson_option': True,\n",
       " 'dt': 0.00034722222222222224}"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# confirm: defaults are used, but `dt` has updated\n",
    "tsm_model.temp_parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
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       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
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       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
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       "\n",
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray &#x27;air_temp_c&#x27; (x: 1, y: 1)&gt;\n",
       "array([[10.]])\n",
       "Coordinates:\n",
       "    time     int32 0\n",
       "  * x        (x) float64 1.0\n",
       "  * y        (y) float64 1.0\n",
       "Attributes:\n",
       "    long_name:    Air Temperature\n",
       "    units:        C\n",
       "    description:  The air temperature.</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'>'air_temp_c'</div><ul class='xr-dim-list'><li><span class='xr-has-index'>x</span>: 1</li><li><span class='xr-has-index'>y</span>: 1</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-268238e2-c385-4293-b393-9f5b6f7fb2f6' class='xr-array-in' type='checkbox' checked><label for='section-268238e2-c385-4293-b393-9f5b6f7fb2f6' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>10.0</span></div><div class='xr-array-data'><pre>array([[10.]])</pre></div></div></li><li class='xr-section-item'><input id='section-afd4317c-b0ca-4e3f-a1ad-4928636f2423' class='xr-section-summary-in' type='checkbox'  checked><label for='section-afd4317c-b0ca-4e3f-a1ad-4928636f2423' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>time</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0</div><input id='attrs-3a1aeda8-b565-4619-8ce8-a17c3cd39fbe' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-3a1aeda8-b565-4619-8ce8-a17c3cd39fbe' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-abaa9f9e-33a8-4ebb-b5e4-4c283f2324f0' class='xr-var-data-in' type='checkbox'><label for='data-abaa9f9e-33a8-4ebb-b5e4-4c283f2324f0' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(0)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.0</div><input id='attrs-ce16b540-e376-4bdc-923f-7f255d387832' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-ce16b540-e376-4bdc-923f-7f255d387832' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d9cbea65-7bdf-46ee-a6d1-8f3fb5eec23c' class='xr-var-data-in' type='checkbox'><label for='data-d9cbea65-7bdf-46ee-a6d1-8f3fb5eec23c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([1.])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.0</div><input id='attrs-789418ca-603d-4ee1-95f2-c62b0f867a27' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-789418ca-603d-4ee1-95f2-c62b0f867a27' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-02c4b2c8-4724-41e8-96b5-4f56025be4f5' class='xr-var-data-in' type='checkbox'><label for='data-02c4b2c8-4724-41e8-96b5-4f56025be4f5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([1.])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-d44bb970-b12d-4868-843b-7cd1ece348f8' class='xr-section-summary-in' type='checkbox'  ><label for='section-d44bb970-b12d-4868-843b-7cd1ece348f8' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-58c422ad-ba07-4300-b44b-f5699a1b7c3e' class='xr-index-data-in' type='checkbox'/><label for='index-58c422ad-ba07-4300-b44b-f5699a1b7c3e' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([1.0], dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>y</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-f01ba6c4-7b30-494e-a589-f58ab1af24be' class='xr-index-data-in' type='checkbox'/><label for='index-f01ba6c4-7b30-494e-a589-f58ab1af24be' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([1.0], dtype=&#x27;float64&#x27;, name=&#x27;y&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-15adbda4-02e5-4ec1-af17-ae44b1c72ddd' class='xr-section-summary-in' type='checkbox'  checked><label for='section-15adbda4-02e5-4ec1-af17-ae44b1c72ddd' class='xr-section-summary' >Attributes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Air Temperature</dd><dt><span>units :</span></dt><dd>C</dd><dt><span>description :</span></dt><dd>The air temperature.</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray 'air_temp_c' (x: 1, y: 1)>\n",
       "array([[10.]])\n",
       "Coordinates:\n",
       "    time     int32 0\n",
       "  * x        (x) float64 1.0\n",
       "  * y        (y) float64 1.0\n",
       "Attributes:\n",
       "    long_name:    Air Temperature\n",
       "    units:        C\n",
       "    description:  The air temperature."
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tsm_model.dataset.air_temp_c.isel(time=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:            (time: 3, x: 1, y: 1)\n",
       "Coordinates:\n",
       "  * time               (time) int32 0 1 2\n",
       "  * x                  (x) float64 1.0\n",
       "  * y                  (y) float64 1.0\n",
       "Data variables: (12/32)\n",
       "    water_temp_c       (time, x, y) float64 20.0 20.0 nan\n",
       "    surface_area       (time, x, y) float64 1.0 1.0 nan\n",
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       "    use_sed_temp       (x, y) bool False\n",
       "    stefan_boltzmann   (x, y) float64 5.67e-08\n",
       "    ...                 ...\n",
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       "    dt                 (x, y) float64 0.0003472</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-58965bcf-c73d-4775-86c0-cdf32dc25d63' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-58965bcf-c73d-4775-86c0-cdf32dc25d63' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>time</span>: 3</li><li><span class='xr-has-index'>x</span>: 1</li><li><span class='xr-has-index'>y</span>: 1</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-29de4de9-e0f1-4faa-a426-11c1f59edec6' class='xr-section-summary-in' type='checkbox'  checked><label for='section-29de4de9-e0f1-4faa-a426-11c1f59edec6' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>time</span></div><div class='xr-var-dims'>(time)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 1 2</div><input id='attrs-06f89d06-3f1e-4cca-86f6-f4f4750c7a30' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-06f89d06-3f1e-4cca-86f6-f4f4750c7a30' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-9b5b999e-9160-44c8-b923-9a105e54f22d' class='xr-var-data-in' type='checkbox'><label for='data-9b5b999e-9160-44c8-b923-9a105e54f22d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.0</div><input id='attrs-bf5f445a-bea6-44e6-9e0e-a233534d79d5' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-bf5f445a-bea6-44e6-9e0e-a233534d79d5' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e7ecb951-1989-44c5-b2b1-efdb05472563' class='xr-var-data-in' type='checkbox'><label for='data-e7ecb951-1989-44c5-b2b1-efdb05472563' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([1.])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.0</div><input id='attrs-9b4b619b-ce0a-46f8-b882-d1e56ade8112' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-9b4b619b-ce0a-46f8-b882-d1e56ade8112' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-bbb0d874-04ef-4270-b9c2-1e0a11ac98fb' class='xr-var-data-in' type='checkbox'><label for='data-bbb0d874-04ef-4270-b9c2-1e0a11ac98fb' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([1.])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-fd904b1d-b7d4-4c91-8550-048792887f0c' class='xr-section-summary-in' type='checkbox'  ><label for='section-fd904b1d-b7d4-4c91-8550-048792887f0c' class='xr-section-summary' >Data variables: <span>(32)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>water_temp_c</span></div><div class='xr-var-dims'>(time, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>20.0 20.0 nan</div><input id='attrs-3dd32af2-2159-45c8-875b-e8f973f0db02' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-3dd32af2-2159-45c8-875b-e8f973f0db02' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d9d2d152-6561-4084-a13c-da99f922f9a5' class='xr-var-data-in' type='checkbox'><label for='data-d9d2d152-6561-4084-a13c-da99f922f9a5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Water temperature</dd><dt><span>units :</span></dt><dd>degC</dd><dt><span>description :</span></dt><dd>TSM state variable for water temperature</dd></dl></div><div class='xr-var-data'><pre>array([[[20.        ]],\n",
       "\n",
       "       [[20.00155562]],\n",
       "\n",
       "       [[        nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>surface_area</span></div><div class='xr-var-dims'>(time, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.0 1.0 nan</div><input id='attrs-2eaba863-1f01-4bd7-b94d-fef8dfced0ef' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-2eaba863-1f01-4bd7-b94d-fef8dfced0ef' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6db0ce55-3bd5-47b4-ac74-f55e1a25521f' class='xr-var-data-in' type='checkbox'><label for='data-6db0ce55-3bd5-47b4-ac74-f55e1a25521f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Surface area</dd><dt><span>units :</span></dt><dd>m^2</dd><dt><span>description :</span></dt><dd>Surface area</dd></dl></div><div class='xr-var-data'><pre>array([[[ 1.]],\n",
       "\n",
       "       [[ 1.]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>volume</span></div><div class='xr-var-dims'>(time, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.0 1.0 nan</div><input id='attrs-7f416ceb-cc45-432c-ac50-d57f9aa152ad' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-7f416ceb-cc45-432c-ac50-d57f9aa152ad' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-cff0f34d-62f7-4aa0-8234-b7aacf6879c5' class='xr-var-data-in' type='checkbox'><label for='data-cff0f34d-62f7-4aa0-8234-b7aacf6879c5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Volume</dd><dt><span>units :</span></dt><dd>m^3</dd><dt><span>description :</span></dt><dd>Volume</dd></dl></div><div class='xr-var-data'><pre>array([[[ 1.]],\n",
       "\n",
       "       [[ 1.]],\n",
       "\n",
       "       [[nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>air_temp_c</span></div><div class='xr-var-dims'>(time, x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>10.0 10.5 nan</div><input id='attrs-60fad462-3825-4604-b8ca-4447546ac81d' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-60fad462-3825-4604-b8ca-4447546ac81d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b6eb46aa-a853-4a24-a7e3-78fb189db461' class='xr-var-data-in' type='checkbox'><label for='data-b6eb46aa-a853-4a24-a7e3-78fb189db461' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Air Temperature</dd><dt><span>units :</span></dt><dd>C</dd><dt><span>description :</span></dt><dd>The air temperature.</dd></dl></div><div class='xr-var-data'><pre>array([[[10. ]],\n",
       "\n",
       "       [[10.5]],\n",
       "\n",
       "       [[ nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>use_sed_temp</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>bool</div><div class='xr-var-preview xr-preview'>False</div><input id='attrs-ada9aa7e-f151-428c-8ad4-57f68dacf316' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-ada9aa7e-f151-428c-8ad4-57f68dacf316' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6c293dfe-405c-4558-8653-4a4e8f8d83ba' class='xr-var-data-in' type='checkbox'><label for='data-6c293dfe-405c-4558-8653-4a4e8f8d83ba' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Use Sediment Temperature?</dd><dt><span>units :</span></dt><dd>boolean</dd><dt><span>description :</span></dt><dd>Controls whether to use/calculate sediment temperature or not.</dd></dl></div><div class='xr-var-data'><pre>array([[False]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>stefan_boltzmann</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>5.67e-08</div><input id='attrs-962d1f72-e12f-4190-a19d-f8d4883d5922' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-962d1f72-e12f-4190-a19d-f8d4883d5922' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-3de99e9d-cd89-47b0-871d-f114ce4f10de' class='xr-var-data-in' type='checkbox'><label for='data-3de99e9d-cd89-47b0-871d-f114ce4f10de' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Stefan-Boltzmann Constant</dd><dt><span>units :</span></dt><dd>W m-2 K-4</dd><dt><span>description :</span></dt><dd>The Stefan-Boltzmann constant.</dd></dl></div><div class='xr-var-data'><pre>array([[5.67e-08]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>cp_air</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1005</div><input id='attrs-c62f115d-80d2-4662-b396-fba6cca9cc96' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-c62f115d-80d2-4662-b396-fba6cca9cc96' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5956d3a8-acb8-4c0d-839f-ccc2888c65fe' class='xr-var-data-in' type='checkbox'><label for='data-5956d3a8-acb8-4c0d-839f-ccc2888c65fe' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Specific Heat Capacity of Air</dd><dt><span>units :</span></dt><dd>J kg-1 K-1</dd><dt><span>description :</span></dt><dd>The specific heat capacity of air.</dd></dl></div><div class='xr-var-data'><pre>array([[1005]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>emissivity_water</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.97</div><input id='attrs-fd6d78a1-10c2-45c9-9b78-48b7d5b385be' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-fd6d78a1-10c2-45c9-9b78-48b7d5b385be' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-7b397f2b-c1cb-4164-92f5-129178119164' class='xr-var-data-in' type='checkbox'><label for='data-7b397f2b-c1cb-4164-92f5-129178119164' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Emissivity of Water</dd><dt><span>units :</span></dt><dd>1</dd><dt><span>description :</span></dt><dd>The emissivity of water.</dd></dl></div><div class='xr-var-data'><pre>array([[0.97]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>gravity</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>9.806</div><input id='attrs-4e01f47e-c6e3-4e08-9870-cc9a927353ea' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-4e01f47e-c6e3-4e08-9870-cc9a927353ea' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1b969b36-26b1-4ab2-b8f2-451cb6c6b6a0' class='xr-var-data-in' type='checkbox'><label for='data-1b969b36-26b1-4ab2-b8f2-451cb6c6b6a0' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Gravity</dd><dt><span>units :</span></dt><dd>m s-2</dd><dt><span>description :</span></dt><dd>The acceleration due to gravity.</dd></dl></div><div class='xr-var-data'><pre>array([[9.806]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a0</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>6.985e+03</div><input id='attrs-884f3b00-1144-4f8d-9243-e50f7223f5f5' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-884f3b00-1144-4f8d-9243-e50f7223f5f5' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f86d6c51-4f18-48fc-87ac-89c4e9892787' class='xr-var-data-in' type='checkbox'><label for='data-f86d6c51-4f18-48fc-87ac-89c4e9892787' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[6984.505294]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a1</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-188.9</div><input id='attrs-b7c4cb59-e581-4e38-8b78-769ae3d22cfb' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-b7c4cb59-e581-4e38-8b78-769ae3d22cfb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-fe88c063-6d88-4a1b-af3c-70426d1a2838' class='xr-var-data-in' type='checkbox'><label for='data-fe88c063-6d88-4a1b-af3c-70426d1a2838' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[-188.903931]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a2</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>2.133</div><input id='attrs-7e7953cf-18a8-4e5a-b43d-b8444f861ad6' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-7e7953cf-18a8-4e5a-b43d-b8444f861ad6' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d94343f0-0c32-41b1-84f7-4ca00def6210' class='xr-var-data-in' type='checkbox'><label for='data-d94343f0-0c32-41b1-84f7-4ca00def6210' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[2.13335768]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a3</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-0.01289</div><input id='attrs-466122d9-4b34-4739-b364-c0976c27618c' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-466122d9-4b34-4739-b364-c0976c27618c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-18dab394-3eb6-4ef1-a3d6-234c3cea7e7c' class='xr-var-data-in' type='checkbox'><label for='data-18dab394-3eb6-4ef1-a3d6-234c3cea7e7c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[-0.01288581]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a4</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>4.394e-05</div><input id='attrs-a461046e-853a-4113-9f57-8f983e3d2e2f' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-a461046e-853a-4113-9f57-8f983e3d2e2f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-79ec3b2a-0f59-43c1-bf8c-2ff11e3c3050' class='xr-var-data-in' type='checkbox'><label for='data-79ec3b2a-0f59-43c1-bf8c-2ff11e3c3050' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[4.39359e-05]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a5</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-8.024e-08</div><input id='attrs-3b558092-5a4a-47a0-85ee-0b74479fa076' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-3b558092-5a4a-47a0-85ee-0b74479fa076' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d698ddb3-0d61-4b6b-88ac-544a36348006' class='xr-var-data-in' type='checkbox'><label for='data-d698ddb3-0d61-4b6b-88ac-544a36348006' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[-8.02392e-08]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>a6</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>6.137e-11</div><input id='attrs-15db90e4-9f21-4692-a21b-8b9100a215ec' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-15db90e4-9f21-4692-a21b-8b9100a215ec' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8895f449-0c2b-43ba-bef2-2e4d71c4ed33' class='xr-var-data-in' type='checkbox'><label for='data-8895f449-0c2b-43ba-bef2-2e4d71c4ed33' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Albedo of Water</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The albedo of water.</dd></dl></div><div class='xr-var-data'><pre>array([[6.13682e-11]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>pb</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1600</div><input id='attrs-1b34580f-c38e-4722-b34c-4288eaa00edb' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-1b34580f-c38e-4722-b34c-4288eaa00edb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-891bb243-4f06-4000-828b-0ef7ae54a7d5' class='xr-var-data-in' type='checkbox'><label for='data-891bb243-4f06-4000-828b-0ef7ae54a7d5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Bulk Density of Sediment</dd><dt><span>units :</span></dt><dd>kg m-3</dd><dt><span>description :</span></dt><dd>The bulk density of sediment.</dd></dl></div><div class='xr-var-data'><pre>array([[1600]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>cps</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1673</div><input id='attrs-5a58ce71-e24c-46aa-89ba-48b5a7809a4f' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-5a58ce71-e24c-46aa-89ba-48b5a7809a4f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a9ad8964-7c2e-424f-90bd-377753e340de' class='xr-var-data-in' type='checkbox'><label for='data-a9ad8964-7c2e-424f-90bd-377753e340de' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>CPS</dd><dt><span>units :</span></dt><dd>J kg-1 K-1</dd><dt><span>description :</span></dt><dd>The CPS.</dd></dl></div><div class='xr-var-data'><pre>array([[1673]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>h2</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.1</div><input id='attrs-5ee1e2b2-d8a8-43dd-8bcb-89e2c09e480a' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-5ee1e2b2-d8a8-43dd-8bcb-89e2c09e480a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-14012416-19a3-4780-b655-d934de12b439' class='xr-var-data-in' type='checkbox'><label for='data-14012416-19a3-4780-b655-d934de12b439' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>H2</dd><dt><span>units :</span></dt><dd>m</dd><dt><span>description :</span></dt><dd>The H2.</dd></dl></div><div class='xr-var-data'><pre>array([[0.1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>alphas</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0432</div><input id='attrs-149dc63a-0d75-45af-9fa0-19b715d4936f' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-149dc63a-0d75-45af-9fa0-19b715d4936f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-49835a32-1f6e-416d-80d6-3fcd81deeacb' class='xr-var-data-in' type='checkbox'><label for='data-49835a32-1f6e-416d-80d6-3fcd81deeacb' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Alphas</dd><dt><span>units :</span></dt><dd>m-1</dd><dt><span>description :</span></dt><dd>The alphas.</dd></dl></div><div class='xr-var-data'><pre>array([[0.0432]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>richardson_option</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>bool</div><div class='xr-var-preview xr-preview'>True</div><input id='attrs-1259e1c8-4567-4d74-9b5c-8b78f635c7b0' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-1259e1c8-4567-4d74-9b5c-8b78f635c7b0' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6b58fd0a-8094-457d-9d7c-225420107762' class='xr-var-data-in' type='checkbox'><label for='data-6b58fd0a-8094-457d-9d7c-225420107762' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Richardson Option</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The Richardson option.</dd></dl></div><div class='xr-var-data'><pre>array([[ True]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>q_solar</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>400</div><input id='attrs-1ae334c6-8b47-46e7-be17-8da8212e2f08' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-1ae334c6-8b47-46e7-be17-8da8212e2f08' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-4a0b679d-2248-4eef-a78d-14b84f2c54cb' class='xr-var-data-in' type='checkbox'><label for='data-4a0b679d-2248-4eef-a78d-14b84f2c54cb' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Solar Heat Flux</dd><dt><span>units :</span></dt><dd>W m-2</dd><dt><span>description :</span></dt><dd>The solar heat flux.</dd></dl></div><div class='xr-var-data'><pre>array([[400]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>sed_temp_c</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>5</div><input id='attrs-c377bd52-e6cd-4b9b-ae44-c9ced443bd61' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-c377bd52-e6cd-4b9b-ae44-c9ced443bd61' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-09cefcb1-5a53-457a-8134-b82c33b76a37' class='xr-var-data-in' type='checkbox'><label for='data-09cefcb1-5a53-457a-8134-b82c33b76a37' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Sediment Temperature</dd><dt><span>units :</span></dt><dd>C</dd><dt><span>description :</span></dt><dd>The sediment temperature.</dd></dl></div><div class='xr-var-data'><pre>array([[5]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>eair_mb</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1</div><input id='attrs-ea63ff6e-0154-4f40-aa12-72228437ae52' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-ea63ff6e-0154-4f40-aa12-72228437ae52' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-bad7e127-0ade-4813-a993-22c97ed54074' class='xr-var-data-in' type='checkbox'><label for='data-bad7e127-0ade-4813-a993-22c97ed54074' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Vapor pressure</dd><dt><span>units :</span></dt><dd>mb</dd><dt><span>description :</span></dt><dd>Vapor pressure</dd></dl></div><div class='xr-var-data'><pre>array([[1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>pressure_mb</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1013</div><input id='attrs-7fbd818f-f4c4-4290-b0a5-e67ed274bdb2' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-7fbd818f-f4c4-4290-b0a5-e67ed274bdb2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c1112db8-e962-4e4d-b575-9136491ff52c' class='xr-var-data-in' type='checkbox'><label for='data-c1112db8-e962-4e4d-b575-9136491ff52c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Pressure</dd><dt><span>units :</span></dt><dd>mb</dd><dt><span>description :</span></dt><dd>The pressure.</dd></dl></div><div class='xr-var-data'><pre>array([[1013]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>cloudiness</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.1</div><input id='attrs-722f3dc0-8902-4cb7-ae98-f8b09d028c71' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-722f3dc0-8902-4cb7-ae98-f8b09d028c71' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f6b2448c-62db-45c1-8708-b8a3ddc6d692' class='xr-var-data-in' type='checkbox'><label for='data-f6b2448c-62db-45c1-8708-b8a3ddc6d692' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Cloudiness</dd><dt><span>units :</span></dt><dd>unitless</dd><dt><span>description :</span></dt><dd>The cloudiness.</dd></dl></div><div class='xr-var-data'><pre>array([[0.1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_speed</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>3</div><input id='attrs-3f063b6f-9dda-4123-a095-315d399a12b1' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-3f063b6f-9dda-4123-a095-315d399a12b1' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ff7ced04-17b1-4cb9-895b-0bf76f30054f' class='xr-var-data-in' type='checkbox'><label for='data-ff7ced04-17b1-4cb9-895b-0bf76f30054f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind Speed</dd><dt><span>units :</span></dt><dd>m s-1</dd><dt><span>description :</span></dt><dd>The wind speed.</dd></dl></div><div class='xr-var-data'><pre>array([[3]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_a</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.3</div><input id='attrs-f3dd5dc2-ad68-40e0-87b3-8220a8a79fc8' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-f3dd5dc2-ad68-40e0-87b3-8220a8a79fc8' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e0447d2a-4bd7-4d67-864f-67417be0c814' class='xr-var-data-in' type='checkbox'><label for='data-e0447d2a-4bd7-4d67-864f-67417be0c814' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind A</dd><dt><span>units :</span></dt><dd>m s-1</dd><dt><span>description :</span></dt><dd>The wind A.</dd></dl></div><div class='xr-var-data'><pre>array([[0.3]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_b</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.5</div><input id='attrs-e099f9d7-49c7-472b-90c0-aebeaf0ee0ed' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-e099f9d7-49c7-472b-90c0-aebeaf0ee0ed' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5a2546d7-5e51-4aa1-9fdc-92c77e7ac328' class='xr-var-data-in' type='checkbox'><label for='data-5a2546d7-5e51-4aa1-9fdc-92c77e7ac328' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind B</dd><dt><span>units :</span></dt><dd>m s-1</dd><dt><span>description :</span></dt><dd>The wind B.</dd></dl></div><div class='xr-var-data'><pre>array([[1.5]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_c</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1</div><input id='attrs-e1658a11-ffd4-417c-ae8b-89d1f42acdf5' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-e1658a11-ffd4-417c-ae8b-89d1f42acdf5' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-db2e70d0-4fad-4664-a9c0-7b7ae2f87e82' class='xr-var-data-in' type='checkbox'><label for='data-db2e70d0-4fad-4664-a9c0-7b7ae2f87e82' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind C</dd><dt><span>units :</span></dt><dd>m s-1</dd><dt><span>description :</span></dt><dd>The wind C.</dd></dl></div><div class='xr-var-data'><pre>array([[1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>wind_kh_kw</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1</div><input id='attrs-1ac3e32d-c51c-4816-b6c9-29abb06b913a' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-1ac3e32d-c51c-4816-b6c9-29abb06b913a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-0bfe7a00-f6ab-4941-b4a8-d21a19a3943f' class='xr-var-data-in' type='checkbox'><label for='data-0bfe7a00-f6ab-4941-b4a8-d21a19a3943f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Wind KH KW</dd><dt><span>units :</span></dt><dd>m s-1</dd><dt><span>description :</span></dt><dd>The wind KH KW.</dd></dl></div><div class='xr-var-data'><pre>array([[1]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dt</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0003472</div><input id='attrs-4d0d05dd-8d32-41c9-80f8-11911f2248cb' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-4d0d05dd-8d32-41c9-80f8-11911f2248cb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-4c57c4ed-709f-4a66-b728-0cbfb9cfcc4d' class='xr-var-data-in' type='checkbox'><label for='data-4c57c4ed-709f-4a66-b728-0cbfb9cfcc4d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>dt</dd><dt><span>units :</span></dt><dd>d</dd><dt><span>description :</span></dt><dd>calculation dt</dd></dl></div><div class='xr-var-data'><pre>array([[0.00034722]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-0a5dbc06-b2bb-46fa-9dcf-7ec7186f4fb6' class='xr-section-summary-in' type='checkbox'  ><label for='section-0a5dbc06-b2bb-46fa-9dcf-7ec7186f4fb6' class='xr-section-summary' >Indexes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>time</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-1e8e6677-1f19-4bc7-ab80-1d52f5b2df46' class='xr-index-data-in' type='checkbox'/><label for='index-1e8e6677-1f19-4bc7-ab80-1d52f5b2df46' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([0, 1, 2], dtype=&#x27;int32&#x27;, name=&#x27;time&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-4fc7a2ef-c913-40e1-8a0d-636a79ea5dc0' class='xr-index-data-in' type='checkbox'/><label for='index-4fc7a2ef-c913-40e1-8a0d-636a79ea5dc0' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([1.0], dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>y</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-dbdc0bec-b16f-47fa-848e-505d42283ceb' class='xr-index-data-in' type='checkbox'/><label for='index-dbdc0bec-b16f-47fa-848e-505d42283ceb' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([1.0], dtype=&#x27;float64&#x27;, name=&#x27;y&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-aa064f1c-24a9-466d-b8bf-ff7a6d11d992' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-aa064f1c-24a9-466d-b8bf-ff7a6d11d992' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.Dataset>\n",
       "Dimensions:            (time: 3, x: 1, y: 1)\n",
       "Coordinates:\n",
       "  * time               (time) int32 0 1 2\n",
       "  * x                  (x) float64 1.0\n",
       "  * y                  (y) float64 1.0\n",
       "Data variables: (12/32)\n",
       "    water_temp_c       (time, x, y) float64 20.0 20.0 nan\n",
       "    surface_area       (time, x, y) float64 1.0 1.0 nan\n",
       "    volume             (time, x, y) float64 1.0 1.0 nan\n",
       "    air_temp_c         (time, x, y) float64 10.0 10.5 nan\n",
       "    use_sed_temp       (x, y) bool False\n",
       "    stefan_boltzmann   (x, y) float64 5.67e-08\n",
       "    ...                 ...\n",
       "    wind_speed         (x, y) int32 3\n",
       "    wind_a             (x, y) float64 0.3\n",
       "    wind_b             (x, y) float64 1.5\n",
       "    wind_c             (x, y) int32 1\n",
       "    wind_kh_kw         (x, y) int32 1\n",
       "    dt                 (x, y) float64 0.0003472"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# update air temperature\n",
    "updated_state_values = {\n",
    "    'air_temp_c': xr.full_like(\n",
    "        tsm_model.dataset.air_temp_c.isel(time=0), \n",
    "        10.5\n",
    "    )\n",
    "}\n",
    "\n",
    "tsm_model.increment_timestep(updated_state_values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
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       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray &#x27;air_temp_c&#x27; (time: 3, x: 1, y: 1)&gt;\n",
       "array([[[10. ]],\n",
       "\n",
       "       [[10.5]],\n",
       "\n",
       "       [[ nan]]])\n",
       "Coordinates:\n",
       "  * time     (time) int32 0 1 2\n",
       "  * x        (x) float64 1.0\n",
       "  * y        (y) float64 1.0\n",
       "Attributes:\n",
       "    long_name:    Air Temperature\n",
       "    units:        C\n",
       "    description:  The air temperature.</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'>'air_temp_c'</div><ul class='xr-dim-list'><li><span class='xr-has-index'>time</span>: 3</li><li><span class='xr-has-index'>x</span>: 1</li><li><span class='xr-has-index'>y</span>: 1</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-0863eb61-8b85-4a85-968b-eba8ccad648c' class='xr-array-in' type='checkbox' checked><label for='section-0863eb61-8b85-4a85-968b-eba8ccad648c' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>10.0 10.5 nan</span></div><div class='xr-array-data'><pre>array([[[10. ]],\n",
       "\n",
       "       [[10.5]],\n",
       "\n",
       "       [[ nan]]])</pre></div></div></li><li class='xr-section-item'><input id='section-e0eff9b6-c790-4db8-904c-27433c27e6c4' class='xr-section-summary-in' type='checkbox'  checked><label for='section-e0eff9b6-c790-4db8-904c-27433c27e6c4' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>time</span></div><div class='xr-var-dims'>(time)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 1 2</div><input id='attrs-3ed79193-be54-452b-9309-a3af278baa80' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-3ed79193-be54-452b-9309-a3af278baa80' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-385a7edd-ee93-4ffa-8c8c-b40c3f5c1e95' class='xr-var-data-in' type='checkbox'><label for='data-385a7edd-ee93-4ffa-8c8c-b40c3f5c1e95' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.0</div><input id='attrs-96f174f4-b170-4ca5-a3ef-cb2bd1641b7b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-96f174f4-b170-4ca5-a3ef-cb2bd1641b7b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-98edc777-7bba-4a98-92c0-0d7cc97af26c' class='xr-var-data-in' type='checkbox'><label for='data-98edc777-7bba-4a98-92c0-0d7cc97af26c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([1.])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.0</div><input id='attrs-dced1048-dc20-484c-b98b-c947cb8ba6c4' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-dced1048-dc20-484c-b98b-c947cb8ba6c4' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-848e4bc4-211b-4014-9dbe-aa7f435de32c' class='xr-var-data-in' type='checkbox'><label for='data-848e4bc4-211b-4014-9dbe-aa7f435de32c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([1.])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-6c44d36c-aaa9-4b61-9453-ab0f807a0d3f' class='xr-section-summary-in' type='checkbox'  ><label for='section-6c44d36c-aaa9-4b61-9453-ab0f807a0d3f' class='xr-section-summary' >Indexes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>time</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-9424b1cf-490c-4397-822a-d1e5c1203d29' class='xr-index-data-in' type='checkbox'/><label for='index-9424b1cf-490c-4397-822a-d1e5c1203d29' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([0, 1, 2], dtype=&#x27;int32&#x27;, name=&#x27;time&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-06a8f3c8-9855-4536-9fb0-19a09ecbea1a' class='xr-index-data-in' type='checkbox'/><label for='index-06a8f3c8-9855-4536-9fb0-19a09ecbea1a' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([1.0], dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>y</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-a8108c30-3bd9-4256-b4e2-1771c3e552ed' class='xr-index-data-in' type='checkbox'/><label for='index-a8108c30-3bd9-4256-b4e2-1771c3e552ed' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([1.0], dtype=&#x27;float64&#x27;, name=&#x27;y&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-bb371b3d-336b-4a27-97a5-473e3980f362' class='xr-section-summary-in' type='checkbox'  checked><label for='section-bb371b3d-336b-4a27-97a5-473e3980f362' class='xr-section-summary' >Attributes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Air Temperature</dd><dt><span>units :</span></dt><dd>C</dd><dt><span>description :</span></dt><dd>The air temperature.</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray 'air_temp_c' (time: 3, x: 1, y: 1)>\n",
       "array([[[10. ]],\n",
       "\n",
       "       [[10.5]],\n",
       "\n",
       "       [[ nan]]])\n",
       "Coordinates:\n",
       "  * time     (time) int32 0 1 2\n",
       "  * x        (x) float64 1.0\n",
       "  * y        (y) float64 1.0\n",
       "Attributes:\n",
       "    long_name:    Air Temperature\n",
       "    units:        C\n",
       "    description:  The air temperature."
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# confirm we updated air temperature\n",
    "tsm_model.dataset.air_temp_c"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  }
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