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* STACK: update stack commit to revert zoltan changes as that was not the problem * MAINT: update version number in .py files for release * FIX/ADD: add back Doxyfile * MAINT: update version number in Doxyfile from 1.7.2dev to 1.7.3 * FIX/ADD: add back .rst files for documentation * FIX/ADD: add back proteus images for documentation * TST: added decorator to dambreak_solver_options test to skip * MAINT: remove xtensor script, update stack to get xtensor, remove xtensor script call in .travis.yaml * STACK: test fix for travis failure regarding xtensor and numpy * STACK: update to get xtensor-python compilation fixes
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.. Proteus documentation master file. This file generates the Proteus homepage (index.html) and serves as the root of the toctree | ||
.. _intro-sec: | ||
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Introduction | ||
============ | ||
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Proteus is a Python package for rapidly developing computer models and | ||
numerical methods. It is focused on models of continuum mechanical | ||
processes described by partial differential equations and on | ||
discretizations and solvers for computing approximate solutions to | ||
these equations. Proteus consists of a collection of Python modules | ||
and scripts. Proteus also uses several C, C++, and Fortran libraries, | ||
which are either external open source packages or part of Proteus, and | ||
several open source Python packages. | ||
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The design of Proteus is organized around two goals: | ||
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* Make it easy to solve new model equations with existing numerical methods | ||
* Make it easy to solve existing model equations with new numerical methods | ||
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We want to improve the development process for models *and* | ||
methods. Proteus is not intended to be an expert system for solving | ||
partial differential equations. In fact, effective numerical methods | ||
are often physics-based. Nevertheless many physical models are | ||
mathematically represented by the same small set of differential | ||
operators, and effective numerical methods can be developed with minor | ||
adjustments to existing methods. The problem with much existing | ||
software is that the physics and numerics are completely intertwined, | ||
which makes it difficult to extend (and maintain). In Proteus the | ||
description of the physical model and initial-boundary value problems | ||
are nearly "method agnostic". This approach has been used in the | ||
developement of a variety of mathematical models and numerical | ||
methods, both of which are described in more detail below | ||
(:ref:`capabilities-sec`). | ||
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.. _obtaining-sec: | ||
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Obtaining and Installing Proteus | ||
================================ | ||
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For learning and experimenting there is a | ||
`Docker image <https://cloud.docker.com/u/erdc/repository/docker/erdc/proteus>`_. | ||
Proteus can be installed through conda with::: | ||
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% conda install proteus -c conda-forge | ||
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Proteus is available as source from our public | ||
`GitHub <https://github.com/erdc/proteus>`_ | ||
repository. For a development installation, the installation of | ||
dependencies and the compilation of Proteus from source is done with::: | ||
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% git clone https://github.com/erdc/proteus | ||
% cd proteus | ||
% conda env create -f environment-dev.yml | ||
% conda activate proteus-dev | ||
% pip install -v -e . | ||
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Alternatively, if you already have compilers (C,C++, and Fortran!) | ||
installed on your system, you can install Proteus through hashdist | ||
with the following commands::: | ||
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% git clone https://github.com/erdc/proteus | ||
% cd proteus | ||
% make develop | ||
% make test | ||
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More information is available on our `Wiki <https://github.com/erdc/proteus/wiki>`_, and you can ask for help on | ||
the `Developers' Mailing List <https://groups.google.com/forum/#!forum/proteus-dev>`_. | ||
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.. _running-sec: | ||
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Running | ||
======= | ||
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If you have successfully compiled and tested Proteus then you should be able to do:: | ||
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% cd $PROTEUS/tests/ci | ||
% $PROTEUS_PREFIX/bin/parun poisson_3d_p.py poisson_3d_c0p1_n.py | ||
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The solution will be saved in a file ending in .xmf, which can be | ||
opened with ParaView or Ensight. | ||
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.. _capabilities-sec: | ||
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Capabilities | ||
============ | ||
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Test problems and some analytical solutions have been implemented for | ||
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* Poisson's equation | ||
* The heat equation | ||
* Linear advection-diffusion-reaction equations | ||
* Singly degenerate nonlinear advection-diffusion-reaction equations (including various forms of Burger's equation) | ||
* Doubly degenerate nonlinear advection-diffusion-reaction equations | ||
* The eikonal (signed distance) equation | ||
* The diffusive wave equations for overland flow | ||
* 1D and 2D Shallow Water Equations | ||
* 2D Dispersive Shallow Water Equations | ||
* Richards' equation (mass conservative head- and saturation-based) | ||
* Two-phase flow in porous media with diffuse interface (fully coupled and IMPES formulations) | ||
* Two-phase flow in porous media with a sharp interface (level set formulation) | ||
* Stokes equations | ||
* Navier-Stokes equations | ||
* Reynolds-Averged Navier-Stokes equations | ||
* Two-phase Stokes/Navier-Stokes/RANS flow with a sharp interface (level set/VOF formulation) | ||
* Linear elasticity | ||
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These problems are solved on unstructured simplicial meshes. Simple | ||
meshes can be generated with tools included with Proteus, and more | ||
complex meshes can by imported from other mesh generators. The finite | ||
elements implemented are | ||
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Classical methods with various types of stabilization (entropy viscosity, variational multiscale, and algebraic methods) | ||
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* :math:`C_0 P_1` | ||
* :math:`C_0 P_2` | ||
* :math:`C_0 Q_1` | ||
* :math:`C_0 Q_2` | ||
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Discontinuous Galerkin methods | ||
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* :math:`C_{-1} P_0` | ||
* :math:`C_{-1} P_1` (Lagrange Basis) | ||
* :math:`C_{-1} P_2` (Lagrange Basis) | ||
* :math:`C_{-1} P_k` (Monomial Basis) | ||
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Non-conforming and mixed methods | ||
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* :math:`P_1` non-conforming | ||
* :math:`C_0 P_1 C_0 P_2` Taylor-Hood | ||
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The time integration methods are | ||
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* Backward Euler | ||
* Forward Euler | ||
* :math:`\Theta` Methods | ||
* Strong Stability Preserving Runge-Kutta Methods | ||
* Adaptive BDF Methods | ||
* Pseudo-transient continuation | ||
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The linear solvers are | ||
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* Jacobi | ||
* Gauss-Seidel | ||
* Alternating Schwarz | ||
* Full Multigrid | ||
* Wrappers to LAPACK, SuperLU, and PETSc | ||
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The nonlinear solvers are | ||
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* Jacobi | ||
* Gauss-Seidel | ||
* Alternating Schwarz | ||
* Newton's method | ||
* Nonlinear Multigrid (Full Approximation Scheme) | ||
* Fast Marching and Fast Sweeping | ||
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Additional tools are included for pre- and post-processings meshes and | ||
solutions files generated by Proteus and other models, including methods for | ||
obtaining locally-conservative velocity fields from :math:`C_0` finite | ||
elements. | ||
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.. _release-sec: | ||
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Release Policy | ||
============== | ||
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The releases are numbered major.minor.revision | ||
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* A revision increment indicates a bug fix or extension that shouldn't break any models working with the same major.minor number. | ||
* A minor increment introduces significant new functionality but is mostly backward compatible | ||
* A major increment may require changes to input files and significantly change the underlying Proteus implementation. | ||
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These are not hard and fast rules, and there is no time table for releases. | ||
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References | ||
========== | ||
|
||
* `Robust explicit relaxation technique for solving the Green-Naghdi equations | ||
<https://doi.org/10.1016/j.jcp.2019.108917>`_ (2019) J.-L. Guermond, | ||
B. Popov, E. Tovar, C.E. Kees, *Journal of Computational Physics* | ||
* `An Unstructured Finite Element Model for Incompressible Two-Phase | ||
Flow Based on a Monolithic Conservative Level Set Method | ||
<https://arxiv.org/abs/1903.06919>`_ | ||
(2019) M. Quezada de Luna, J. H. Collins, and C.E. Kees. | ||
* Preconditioners for Two-Phase Incompressible Navier-Stokes | ||
Flow (2019) N. Bootland, C.E. Kees, A. Wathen, | ||
A. Bentley *SIAM Journal on Scientific Computing*, In Press. | ||
* `Modeling Sediment Transport in Three-Phase Surface Water Systems | ||
<https://doi.org/10.1080/00221686.2019.1581673>`_ (2019) | ||
C.T. Miller, W.G. Gray, C.E. Kees, I.V. Rybak, B.J. Shepherd, | ||
*Journal of Hydraulic Engineering* | ||
* `Fast Random Wave Generation in Numerical Tanks | ||
<https://doi.org/10.1680/jencm.17.00016>`_ (2019) A. Dimakopoulos, T. de | ||
Lataillade, C.E. Kees, *Proceedings of the Institution of Civil | ||
Engineers - Engineering and Computational Mechanics*, 1-29. | ||
* `A Partition of Unity Approach to Adaptivity and Limiting in | ||
Continuous Finite Element Methods | ||
<https://doi.org/10.1016/j.camwa.2019.03.021>`_ (2019) D. Kuzmin, M. Quezada | ||
de Luna, C.E. Kees, *Computers and Mathematics with Applications*. | ||
* `Simulating Oscillatory and Sliding Displacements of Caisson | ||
Breakwaters Using a Coupled Approach | ||
<https://doi.org/10.1061/(ASCE)WW.1943-5460.0000504>`_ (2019) G. Cozzuto, | ||
A. Dimakopoulos, T. de Lataillade, P.O. Morillas, and C.E. Kees, | ||
*Journal of Waterway, Port, Coastal, and Ocean Engineering*. | ||
* `A Monolithic Conservative Level Set Method with Built-In | ||
Redistancing | ||
<https://doi.org/10.1016/j.jcp.2018.11.044>`_ (2019) M. Quezada de | ||
Luna, D. Kuzmin, C.E. Kees, *Journal of Computational Physics*, 379, | ||
262-278. | ||
* `Computational Model for Wave Attenuation by Flexible Vegetation | ||
<https://doi.org/10.1061/(ASCE)WW.1943-5460.0000487>`_ (2018) | ||
S.A. Mattis, C.E. Kees, M.V. Wei, A. Dimakopoulos, and C.N. Dawson, | ||
*Journal of Waterway, Port, Coastal, and Ocean Engineering* 145(1), | ||
p.04018033. | ||
* `Well-Balanced Second-Order Finite Element Approximation of the | ||
Shallow Water Equations with Friction | ||
<https://doi.org/10.1137/17M1156162>`_ (2018) J.L. Guermond, M.Q. de | ||
Luna, B. Popov, C.E. Kees, and M.W. Farthing *SIAM Journal on | ||
Scientific Computing* 40(6), A3873-A3901. | ||
* `Dual-Scale Galerkin Methods for Darcy Flow | ||
<https://doi.org/10.1016/j.jcp.2017.10.047>`_ (2018) G. Wang, G. Scovazzi, L. Nouveau, | ||
C.E. Kees, Simone Rossi, O. Colomes, and A. Main (2018) *Journal of | ||
Computational Physics* 354, 111-134. | ||
* `Implementation details of the level set two-phase Navier-Stokes | ||
equations in Proteus | ||
<https://www.clemson.edu/science/departments/math-stat/documents/technical-reports/TR2017_10_ab.nb.aw.ck.pdf>`_ (2017) A. Bentley, N. Bootland, A. Wathen, C. Kees, | ||
*Technical-Report-TR2017-10-ab.nb.aw.ck*. | ||
* `Evaluation of Galerkin and Petrov-Galerkin Model Reduction for | ||
Finite Element Approximations of the Shallow Water Equations | ||
<https://doi.org/10.1016/j.cma.2017.01.027>`_ (2017) A. Lozovsky, M. W. Farthing, | ||
and C.E. Kees, *Computational Methods in Applied Mechanics and | ||
Engineering* 318, 537-571. | ||
* `POD-Based Model Reduction for Stabilized Finite Element | ||
Approximations of Shallow Water Flows | ||
<https://doi.org/10.1016/j.cam.2016.01.029>`_ (2016) A. Lozovskiy, | ||
M.W. Farthing, C.E. Kees, E. Gildin *Journal of Computational and | ||
Applied Mathematics*, 302, 50-70. | ||
* `An Immersed Structure Approach for Fluid-Vegetation Interaction | ||
<https://doi.org/10.1016/j.advwatres.2015.02.014>`_ (2015) | ||
S.A. Mattis, C.N. Dawson, C.E. Kees, M.W. Farthing, *Advances in | ||
Water Resources*, 80,1-16. | ||
* `Finite Element Methods for Variable Density Flow And Solute | ||
Transport <https://doi.org/10.1007/s10596-012-9330-2>`_ (2013) | ||
T.J. Povich, C.N. Dawson, M.W. Farthing, C.E. Kees *Computational | ||
Geosciences* 17(3), 529-549. | ||
* `Numerical simulation of water resources problems: Models, methods, | ||
and trends | ||
<https://doi.org/10.1016/j.advwatres.2012.05.008>`_ (2013) | ||
Cass T. Miller, Clint N. Dawson, Matthew W. Farthing, Thomas Y. Hou, | ||
Jingfang Huang, Christopher E. Kees, C.T. Kelley, and Hans Petter | ||
Langtangen *Advances in Water Resources*, 51, 405-437, | ||
* `Numerical modeling of drag for flow through vegetated domains and | ||
porous structures | ||
<http://dx.doi.org/10.1016/j.advwatres.2012.01.002>`_ (2012) | ||
S.A. Mattis, C. N. Dawson, C. E. Kees, and M. W. Farthing, *Advances | ||
in Water Resources*, 39, pp44-59 | ||
* `Parallel Computational Methods and Simulation for Coastal and | ||
Hydraulic Applications Using the Proteus Toolkit | ||
<http://www.dlr.de/sc/en/Portaldata/15/Resources/dokumente/pyhpc2011/submissions/pyhpc2011_submission_11.pdf>`_ | ||
(2011) C. E. Kees and M. W. Farthing (2011) *Supercomputing11: | ||
Proceedings of the PyHPC11 Workshop* | ||
* `A Conservative Level Set Method for Variable-Order Approximations | ||
and Unstructured Meshes | ||
<http://dx.doi.org/10.1016/j.jcp.2011.02.030>`_ (2011) C.E. Kees, | ||
I. Akkerman, Y. Bazilevs, and M. W. Farthing *Journal of | ||
Computational Physics* 230(12), pp4536–4558 | ||
* `Locally Conservative, Stabilized Finite Element Methods For | ||
Variably Saturated Flow | ||
<http://dx.doi.org/10.1016/j.cma.2008.06.005>`_ (2008) Kees, C.E., | ||
M. W. Farthing, and C. N. Dawson, *Computer Methods in Applied | ||
Mechanics and Engineering*, 197, pp4610-4625 | ||
* `Locally Conservative, Stabilized Finite Element Methods for a Class | ||
of Variable Coefficient Navier-Stokes Equations | ||
<http://chl.erdc.usace.army.mil/ERDC-CHL-TR-09-12>`_ (2009) | ||
C. E. Kees, M. W. Farthing, and M. T. Fong, *ERDC/CHL TR-09-12* | ||
* `Evaluating Finite Element Methods for the Level Set Equation | ||
<http://chl.erdc.usace.army.mil/ERDC-CHL-TR-09-11>`_ (2009) | ||
M. W. Farthing and C. E. Kees, *ERDC/CHL TR-09-11* | ||
* `A Review of Methods for Moving Boundary Problems | ||
<http://chl.erdc.usace.army.mil/ERDC-CHL-TR-09-10>`_ (2009) | ||
C. E. Kees, M. W. Farthing, T. C. Lackey, and R. C. Berger, | ||
*ERDC/CHL TR-09-10* | ||
* `Implementation of Discontinuous Galerkin Methods for the Level Set | ||
Equation on Unstructured Meshes | ||
<http://chl.erdc.usace.army.mil/library/publications/chetn/pdf/chetn-xiii-2.pdf>`_ | ||
(2008) M. W. Farthing and C. E. Kees, *ERDC/CHL CHETN-XIII-2* | ||
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Indices and tables | ||
================== | ||
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* :ref:`genindex` | ||
* :ref:`modindex` | ||
* :ref:`search` | ||
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Source Code Documentation | ||
========================= | ||
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.. toctree:: | ||
:maxdepth: 1 | ||
:caption: General | ||
:name: sec-general | ||
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API docs <apicapi> | ||
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.. toctree:: | ||
:maxdepth: 1 | ||
:caption: Tools | ||
:name: sec-tools | ||
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tools/boundary_conditions | ||
tools/spatial_tools | ||
tools/two_phase_flow | ||
tools/wave_tools | ||
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.. toctree:: | ||
:maxdepth: 1 | ||
:caption: Models | ||
:name: sec-models | ||
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models/body_dynamics | ||
models/free_surface | ||
models/mesh_adaptivity | ||
models/mesh_motion | ||
models/navier_stokes | ||
models/SWFlows |
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