From e9a0ff396a1e249317033d89a65c8d66379ddb03 Mon Sep 17 00:00:00 2001
From: Sylwester Arabas <sylwester.arabas@agh.edu.pl>
Date: Sun, 17 Nov 2024 13:32:43 +0100
Subject: [PATCH] pylint, precommit, imports

---
 .../demo_over_the_pole.ipynb                  | 8825 ++++++++---------
 examples/PyMPDATA_examples/utils/__init__.py  |    1 +
 .../utils/merge_images_into_gif.py            |    6 +-
 3 files changed, 4416 insertions(+), 4416 deletions(-)

diff --git a/examples/PyMPDATA_examples/Williamson_and_Rasch_1989_as_in_Jaruga_et_al_2015_Fig_14/demo_over_the_pole.ipynb b/examples/PyMPDATA_examples/Williamson_and_Rasch_1989_as_in_Jaruga_et_al_2015_Fig_14/demo_over_the_pole.ipynb
index 469dbbd4..38673c89 100644
--- a/examples/PyMPDATA_examples/Williamson_and_Rasch_1989_as_in_Jaruga_et_al_2015_Fig_14/demo_over_the_pole.ipynb
+++ b/examples/PyMPDATA_examples/Williamson_and_Rasch_1989_as_in_Jaruga_et_al_2015_Fig_14/demo_over_the_pole.ipynb
@@ -38,13 +38,10 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "import os\n",
     "import numpy as np\n",
     "import numba\n",
     "import matplotlib.pyplot as plt\n",
-    "from matplotlib import cm\n",
     "import matplotlib\n",
-    "from IPython.display import Video\n",
     "from PyMPDATA import VectorField, ScalarField, Options, Solver, Stepper\n",
     "from PyMPDATA.boundary_conditions import Periodic, Polar\n",
     "from PyMPDATA_examples.utils import merge_images_into_gif\n",
@@ -173,7 +170,7 @@
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-11-17T12:51:17.206990</dc:date>\n",
+       "    <dc:date>2024-11-17T13:25:37.840041</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -204,20 +201,20 @@
        "z\n",
        "\" style=\"fill: #ffffff\"/>\n",
        "   </g>\n",
-       "   <g clip-path=\"url(#p3257ffd440)\">\n",
+       "   <g clip-path=\"url(#p96b40d10de)\">\n",
        "    <image xlink:href=\"data:image/png;base64,\n",
-       "iVBORw0KGgoAAAANSUhEUgAAALYAAAFyCAYAAABY/iASAAAXh0lEQVR4nO2dXW/kSHJFg2SyVC11Tw9s7Br77v//t8bjhY3Z1VdV8csP7TfeI1RApcV06J7HUCLJYt0iFDcjI7vlt//c4kqmbZHx8zbJ+IsY/8eq5/5jPcj435dv+9j8ixz7+/Rdxn+76Ph/nfbz/P6yv15ExB8vX2T88fm4iy1PoxzbPw8y3p66XWx83sciIsZHGY7xef81Hp70wx4h3p723+PwrL/b/uUs493LSca30378doKxl4uOT/M+uGpN9jJqzE+OhW1KYmGbkljYpiQWtimJhW1KYmGbkljYpiQWtimJhW1K0pYN1rgFa+ixS+hV+WXbx5dN/5ZWiKvxNAfPrZenKf7esR9K4jbolvGjdOIP9OrrYZJEvFPXo/uAOTb4MH5jm5JY2KYkFrYpiYVtSmJhm5K0OXShtnI0Jhh7BmflJMySCX5Ll9BF+KsYP216LMXJcVFOB2XZf3bkbaPrAHMMyhWBdx86F3p8J+Lb2OBGtMsmr9jp6/mNbUpiYZuSWNimJBa2KYmFbUrSXla9vV4xQU3ICbLYk3AjTuBcnFbdskDFp01n0+yW6N/vvO7HU00I9qhQ469uaPH/qCnSdR5iLLy2NqjnUHHplETE1mDypr+DronvbNVuWrfqB6iiXe/2C+YTYWGbkljYpiQWtilJe0xsNJggKcKEUMRf1js59mXT8Wcx/gX6/J1XnVReID7LTQywKWHV7wDImz8MTggTY2klu+0/+wpJYjdCkjjD5MteZx09PFquH8S9iHkj/MY2RbGwTUksbFMSC9uUxMI2JWl/gGOgoKVpWsp+3vbuxeOqTwb457I/GeDH+H2cXJHXBdySBZbgl/19L+B+rCutcatYcrOC3CQAYxOuyArL4RgXrkg/wvOAZ9otCZsIlva7CZwYtSy/eEndfCIsbFMSC9uUxMI2JbGwTUna/y73Vw++UCE/tE44CfdCuRwREY+LdkuehFvyNOu6ktcFNitABn8RGw2mJeeKfFS7BtxoQK6I+Arg65LuR0TEOu7jCzwP2gywQiGKakDZQ03INtCNi3oT14qYz4SFbUpiYZuSWNimJBa2KUn77+Xb1YOpueNpu751Au2geYRakadlP17FIiKeoVbkZdbxi6gVmUUs4o1aEYonkA5IoiYkQrdJWBs4F/rrinURx2mAK0IlIRs4Hb2qC6EWDjO0ZRB1IbQBzG9sUxIL25TEwjYlsbBNSdrf51/kH1SiuED1O200OKvkkRI82DzwLJbPH2FJ/WnS8dOss6WLaBUw45I6tF9QyeMtevclls4jItR+kY46IYil84iI7vpOHHiSAPYFFMntNkKSOMMDFB+SWjj4jW1KYmGbkljYpiQWtimJhW1K0n67/Cr/oDr7L/A7oFMAVJNIahzJmwT2cXI/XsH9OEGjxPMs2i+AKyLdj4gIldh/pCuCZzTuY2rjQARvElANObMnK/SwiUHFabm+p/V6cd8dDPUb25TEwjYlsbBNSSxsUxIL25Sk/Xb6fvXgFWpF6HgLdUTGDDUXyv2I0A0lz+ByoPsxwVEdyhURsYiITRThR4TcaNAlWzLIvpY9nHWIDSX3Mar9IBdLWQyZ2o+IiB7qPHrh0JA70+k+k7ouxK6I+UxY2KYkFrYpiYVtStJ+P2V2qUPiAvFFrAtT8qhOF6DxF0jwcA4YP08qeYQldYjLXeo3WFLHXeqweQDyMD0H9gUUO91hYwMliR0k2b1ICDsoU6CkUt24l9TNp8LCNiWxsE1JLGxTEgvblKT9z6s+0SDTqR9dEZH10rzklqi2B7QZYIGMfKV+fGI8uh+0pC7Xw/VQJLHRYB1gyVo8V+qmkGntQC0c1LOL4GV8tUxOrRPILck8V7+xTUksbFMSC9uUxMI2JbGwTUnaP571+YoZVwSSWzkHjqWmj3IsFL9Dpo6tE9R4dD/IBXh/rYicmh4/NaUURRMdbBKgQn7pimDRv47TZ5duCT3T5NwKv7FNSSxsUxIL25TEwjYlaacn3QcvAyWEenByuVRmj4k+etlrYvJz/TVxLCF2pG+UPdLU4hW1wfI7nlwghvPYGyR+ySQb5xb4jW1KYmGbkljYpiQWtimJhW1K0uIZKskToAeQLbh/7xzZ6yXKBjIZ+S2W1Dvq3UebBG7hTAn4c1NtROI+klNn8BvblMTCNiWxsE1JLGxTEgvblKQNjx+o7WTJxHvnSB4kkLM6bnEfiTi5H+lryutRAYgam7uPf/V3TviNbUpiYZuSWNimJBa2KUkbn9//n3ouccnF9Q7u3HIzzq12cec2qctr4nJ4KnnMteqX49NJrJgDnyntyEhcM1WnENEldOY3timJhW1KYmGbkljYpiQWtilJG5/0H27hdGR60mUcjQ3SY9V77q251XhqWYCvAHluPXxI3Dwg4vRZ6P6Uw0BjqS2DuI8uMTbiDVOk3y/jk8vRgVtiV8R8eixsUxIL25TEwjYlsbBNSdr4lKxrUCScjls4GjiWuv1Dh4lNdOvfGpwV2RK1EdnOBKlaEYiL++ua3lDQ01mRw/6BDDB2GGBu4X5ERDTpisDc8Bn7RG2J39imJBa2KYmFbUpiYZuSWNimJG18vj7TzLYVUDtUKNtfE07HCs7FBu4HnVW4jiKmh0YPbs6qjtnIvi5S5zxCHYVwQAZwRdqoH0hr+/gonJKIiIMYG6HdD5qHxg7QHkK5IuSU+I1tSmJhm5JY2KYkFrYpSRuf39/HjZfJVWJFS9Z6bpUo0vK2SgYj+NzFzO5/PLpRJb3Zjvxqbirkh4RQJYrjYZZjR0j87sb9+GPTc9xRfNDx4zDtYpQ8Hno9x6CSR3jYfmObkljYpiQWtimJhW1KYmGbkrTxEdabZdsDmIWcjkEsqYtYRMQ6Xl/gvxzA5SDrAg5BVG5Oj00fdVxds0vaIptsBgmuCBX+C6dDLZFHRHw57B2KiIgv4z7+pemxX8ezjCv3IyLii4jfgftBcbV8PkARhN/YpiQWtimJhW1KYmGbkljYpiStPV30X9QmAeoKCK6IamWwNv1bWmeIC7eEajwWantAtSxqkwC4NngyhUrKb1IrAkPBLVHtEO7AFaH6j4dxrwVyP741HX+A+H2/n/t+0Nq767WzMoodI4NrRcxnwsI2JbGwTUksbFOS1r/of9QleDIAbDEXiWI36km6Rc/Rrap5X+73yCcaiARZ51WxUuXBByWPlCRibzyRPB4gSTwmlsm/j69y7C/tpOcYINkc9uPve1iWh+Tx2O3jPe1ol1FjfnIsbFMSC9uUxMI2JbGwTUla/6KzW8U2gKNB1flNOB0H3WehW6GwXjTvow0PdH89LJP34lZWWJfHTQwiKc+0dUDQFdHxJnrjHaDv3n3TS9kPYombXI7vTbsl3wcd/ybi33qtvaNYfo+IGEN8RmjM6De2KYmFbUpiYZuSWNimJBa2KUmL1+tdkY5qQsCN2Ma97dBTK4REi4SBNjag+wFOxyI2MWRqQuJGDoialzr1gysyqlqRHjYaQONI1SLhK2wc+CpqPyIivg/PMv6LGP+t1w7KQweuiPhyRteKmM+EhW1KYmGbkljYpiRtO+nkQEJL6g2WyRfxjz0snRNqORyTRNjE0MMyuYpnls5/3MyVsbdQiSI1BKBd6mIDAh1lR6cOfBFL6mp3eQQvh6skMSLi1/7l6jmOkMGrOLR89Bvb1MTCNiWxsE1JLGxTEgvblKRt54wrAkvqyv2IkCcJdNT/Dx2Xfbwf9X2sMyydQ0sFtRqLS+eJ4zBvAbZJhPYL6gzEBjdN5yiqkwTIFXmA1gn3HfXu28fv4Yt5gM94FA9lBPvIb2xTEgvblMTCNiWxsE1JLGxTkrZd4ESDTjSUXHW2SqURndoQAK0auhkcl3l/zQ5bJGTjIkgnF2TitzjRAC7IR20KVwQ2GlBxvi7kh8aW1DgSG0ru5z7CfSj3IyLiTmhyDK0bv7FNSSxsUxIL25TEwjYladsC27JFn7QQffQiOKFR68IbbUqAxFQtyweMpaQSkzm15E+NAf/kqF3tKqH8Ec8kj9QbD5brlW4iYhTjj/CoVZL4Y/xeO83Jo/lMWNimJBa2KYmFbUpiYZuSNOk6ABu1TqA5lOtAc2Ti2AqBTkXQw1N99z6oR18WcjoyYyk+CLdExd6Kk+OiNkIMsHQ+4OaB/Xt4AAfFb2xTEgvblMTCNiWxsE1JLGxTEgvblMTCNiWxsE1JLGxTEgvblMTCNiVp2P1QINspBDealHGYIxWnnyPcB22KSW2W+ZNsrFkTN01jKb5s+werYm/FVxy/v+ay6bqSBWpZVlEkpOaN8BvbFMXCNiWxsE1JLGxTktbRKQWqdx+cOhDjCPH9dvkOevdRTz+ZEMJYOv8REz/VHuJPkiRm2cSNc/Kon98k2muoWETECu/EC7RDmMT4EySPA8Qj9n0ER9gB4je2KYmFbUpiYZuSWNimJBa2KUnrDofrR4OD0kGjyVBxGLs1Pfcmznkk92ODZXmOi2By+V3Gs86KPBUB7hmmUA7IvIJDkXJF9Pd1WrUTduoovj/pQDWqjHjLFdnHV7si5jNhYZuSWNimJBa2KYmFbUrSuru760dDrUjKFRH1I2/Ft3Gfqa/CKYmI2Bo4CXBJZQ6AYYDxj4L6fK7r9YX8M9z0ZdUP5CziL6t2zZ5XrRs65/Gw7o/wGHrYUCDGRkRM8igRuyLmE2Fhm5JY2KYkFrYpSeuOmeQRNiVAUrmphPCgl1y3g05oVhHfRtghDcnjCkvwKo5JIu6MvzL2Fmr5HJNH2GEukspp0d/XedHP+nXZJ4ovg04eH9ejjI/LfjMAscCDeuguMn6SySOcrHD1XRjzE2Fhm5JY2KYkFrYpiYVtStLii85uFRu1X6DWCWLzgHI5IiK2O9hocBD95EQsImIdwf2gpXZxSeg2wEvtH9SuQbVTiGBXZFr2N3iBjQYndEX2jtXTrF2zUTgUERED2DmqXQP1/zv12jkbY3/NA9yH39imJBa2KYmFbUpiYZuSWNimJG29v94VoZ/BRjUkYkPASnUeB2h+KBwQnINcEeiZqertubWDnkM9k5s4JeB+kCsyi7qQC9SKvMy6/uMw7B2G1oPrAAX+5HSo1g7kftBmhaNo4dC7VsR8JixsUxIL25TEwjYlaes9ZFai391GR+dRbzyxlE07zDMJ4XIHxfYHiONS+3WxiORS+w16922YPOrnNKsl9Rn67vU64XqCuLyPRJIYoXfA38MmhjtIHtUyPi3h+41tSmJhm5JY2KYkFrYpiYVtStLmr3CigeoIQNk+uCKyvQG1Qkg4F+R+pJfUxXh0P+hEgw9yRaDZP7oli3BFzrP+MEOv3ZJOLJPzWZE6fobNDa+D2MSw6E0Md71u4aCW8Qd4UH5jm5JY2KYkFrYpiYVtSmJhm5K06RvYAAo86zDR3oAcFKjRUK0TcGzC/YjQJx3ka0X2mTqdxUh0wmEg92NbwBURDsgMJwa8wn0op0M1u4yImMD9uBu0o3Ec9vUfDWpTDuCKDMIV6V0rYj4TFrYpiYVtSmJhm5K06eF6beOSOi43X39iAOQiMmnDXnyYgEJcJJuYPEJcvhpusqQOn3GG4/DkcOiTmFgmVxsYIngH/Cv13RObCih5HGjnuUoefRye+UxY2KYkFrYpiYVtSmJhm5K06QGy70xmnyjCzyy/4xwJByXiDadDzU0OyqCz7w/baEDr8rCkvnXixAC6HHy5i5h7hr6MlxmcC3A6lAOiNjZERAxQCkAOiBx79UhjfiIsbFMSC9uUxMI2JbGwTUna9PUDXREVz7QxgPHYCiF7RqM85zHhfsC9pE80EJfsqFaE5hZ9HDfYJLDAZ1xFbQ+N7cC5wHIi6YrAWHA/aLzCb2xTEgvblMTCNiWxsE1JLGxTkjZ9ff8kt3BQcs5KzrlIOTGZ+6A5wDEglAOyQbGIatWA9wHOSujuBrGJ58rPFD5j5vtN1H5E2BUxxsI2NbGwTUksbFOSNj1kO80lyC4tv3OO9FJ2Jnn5yPtILKnTSQepzAo/t5gj/UyT4z9oDr+xTUksbFMSC9uUxMI2JbGwTUna8o3S7BtwC8MlM0f2egn7IrX6m74Pcb3k15K7v+vfZ8lV73/9dw74jW1KYmGbkljYpiQWtimJhW1K0uIBqs4TbKmMnCr2aXxiDnIS8JpicrqPRO0G1nlQbX7iqA5yS+QcdD18TpmxcH+p7xHGAhmHxm9sUxIL25TEwjYlsbBNSdrx61n+gbre67EUF7uvaSz0mZM5B/W1o27/lMyp8TQHvAI6MR53mMPcKlHs4DgCTB5VEgvXy8yNYzNJIsydSqbfGK/wG9uUxMI2JbGwTUksbFMSC9uUpH1/eJV/yLgiK50bqHrSwdgZXJFVxJcFOvWDC7Au+qiDVTkaM/zWqd9dpnUCoFwAbI0HLkU/C2cF7pmclV6MR1ck69qI8R1YZJklf8JvbFMSC9uUxMI2JbGwTUksbFOS9u9fXq4eTO4HuiKiwILcjwmcCzX+MuuxOMes0+l52o+HZD82KhZRDshNmlLqoT3VfwhHQ7kcERG9OBOSxpOz0sMzRddGuSJY90IFRWIsDPUb25TEwjYlsbBNSSxsU5L2H8fHqwevkBUtkDxe1raLUfJ4WkYZPy/7Oc7DPhYRcZp1/IyHzqu4nmOhfEYlc5nTBSL0UjElVpjM7WPDBcZS8jjtbySTaP6I6wclE1NIEnlzw/VdBfzGNiWxsE1JLGxTEgvblMTCNiVpfzv+Q/5BLZMv8DugJfWzcEVULCLiFVwR5ZY89Xdy7NBrK6EHV0SaEbBJgOJbv59lIxcGXCUVpc0KvNFAjCXn4qLvT7koyin5MfZ694Pm6cBq6smCEi6Kl9TNp8LCNiWxsE1JLGxTEgvblKT97fCH/MMqCusXyOqnTRf4n9e9o/GyHOTYl0HHn+e9A0IuB7of2B7i+tYOs3A/flxUxD5wo0GmLQM5GlT/oZwOcj+GM81N8f0H6mf9ITuoN9GuCFxPz2DMz42FbUpiYZuSWNimJO0v7Z9XD1YJZUTEaYPlcJU8wnL443KU8VFkRT02d9PgzvjMDnhYrl/lknri5iJyyWNiSZ2Wt4fEMvlworFQvoBx8T2KhDIiIiipXMSHp938OmzMz42FbUpiYZuSWNimJBa2KUn763B9+4ULLJ1PoeOndb9M/rjq9VzlfkREDMIeoI0N86rv49JgyV+0dmiDvo++1xskgpbaE8hl8sR5jhG6aD/du0+2X9AXHM7wnCDeiXh/gRucwfpZ9/fSLeDC6BmM+bmxsE1JLGxTEgvblMTCNiVp/zZcf6LBBLUitNHgudun38rliIjowQZQmxsyGxsiIl4HHT+INvvjAPcH7odqbPl+n+SNDQWZcxSxruT6TQJUE9JRTchJOx2dckAu2p7pJnBLlAOi6kfCb2xTFAvblMTCNiWxsE1JLGxTkvYrFRQIYONFnMClGLd9xjokPYNpE40te+1yvMDZFHfQ2mEUdSHY2JJqQmRHyaQvoobTFIkaEmruiHHhlnRQK0J1HtL9iIjuJL4bcEVi1nNsKu5aEfOZsLBNSSxsUxIL25Skfeuu1/YESZFKEiMietFrbenPcixtYjiJRJFaONxBInyAeBMZ10B9ASGpzB7p+F5wSV3EcSz4BapnHvbXm2C9npbDRXybIHmEpFInj15SN58IC9uUxMI2JbGwTUksbFOSdg/L04voFN8HZMK0SUCk5RPMcYSeAMdtHx8hracWDiPYA01sNKBTEdD8UONv0ZSSVvBpqT3T2FK4VRSnsxg7PI0ANKIcjczSeUSEcFE2L6mbz4SFbUpiYZuSWNimJBa2KUlr0FCyicx+wHRfZ7GLcClOm85iD+CWqLYM7H7AHNTyQVgMqp3Cz4C8bTgDkTYxSAdENIJ8c24Yv6k41pVcXyuyuVbEfCYsbFMSC9uUxMI2JWlDYqPBCgkDJZWDqMLHQn5I8FSvP+r/h30B8ZrXJ4qZsR9K4jbyy/IqeYSxsCyfiW+gJ4yruWGs39imJBa2KYmFbUpiYZuSWNimJP8HiFJc7kXyjrAAAAAASUVORK5CYII=\" 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+       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id=\"image4d460e9d4f\" transform=\"scale(1 -1) translate(0 -266.4)\" x=\"26.925\" y=\"-8.664203\" width=\"131.04\" height=\"266.4\"/>\n",
        "   </g>\n",
        "   <g id=\"matplotlib.axis_1\">\n",
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"ma5a30dc7ca\" d=\"M 0 0 \n",
+       "       <path id=\"m5482ab5cec\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#ma5a30dc7ca\" x=\"28.972015\" y=\"275.064203\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m5482ab5cec\" x=\"28.972015\" y=\"275.064203\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
@@ -253,7 +250,7 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#ma5a30dc7ca\" x=\"69.912323\" y=\"275.064203\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m5482ab5cec\" x=\"69.912323\" y=\"275.064203\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
@@ -283,7 +280,7 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#ma5a30dc7ca\" x=\"110.852631\" y=\"275.064203\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m5482ab5cec\" x=\"110.852631\" y=\"275.064203\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
@@ -323,7 +320,7 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#ma5a30dc7ca\" x=\"151.792938\" y=\"275.064203\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m5482ab5cec\" x=\"151.792938\" y=\"275.064203\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
@@ -373,12 +370,12 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <defs>\n",
-       "       <path id=\"mc9ca97a954\" d=\"M 0 0 \n",
+       "       <path id=\"md3be3bc4a4\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mc9ca97a954\" x=\"26.925\" y=\"10.999219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#md3be3bc4a4\" x=\"26.925\" y=\"10.999219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
@@ -391,7 +388,7 @@
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mc9ca97a954\" x=\"26.925\" y=\"51.939526\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#md3be3bc4a4\" x=\"26.925\" y=\"51.939526\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_6\">\n",
@@ -405,7 +402,7 @@
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mc9ca97a954\" x=\"26.925\" y=\"92.879834\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#md3be3bc4a4\" x=\"26.925\" y=\"92.879834\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
@@ -419,7 +416,7 @@
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mc9ca97a954\" x=\"26.925\" y=\"133.820142\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#md3be3bc4a4\" x=\"26.925\" y=\"133.820142\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
@@ -433,7 +430,7 @@
        "    <g id=\"ytick_5\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
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        "   </g>\n",
        "   <g id=\"matplotlib.axis_1\">\n",
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"m853c3b20b9\" d=\"M 0 0 \n",
+       "       <path id=\"m066041d50c\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m853c3b20b9\" x=\"29.004\" y=\"275.032219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m066041d50c\" x=\"29.004\" y=\"275.032219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
@@ -892,7 +889,7 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m853c3b20b9\" x=\"70.584\" y=\"275.032219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m066041d50c\" x=\"70.584\" y=\"275.032219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
@@ -922,7 +919,7 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m853c3b20b9\" x=\"112.164\" y=\"275.032219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m066041d50c\" x=\"112.164\" y=\"275.032219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
@@ -962,7 +959,7 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m853c3b20b9\" x=\"153.744\" y=\"275.032219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m066041d50c\" x=\"153.744\" y=\"275.032219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
@@ -1012,12 +1009,12 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <defs>\n",
-       "       <path id=\"m91ac25ee92\" d=\"M 0 0 \n",
+       "       <path id=\"m1d196abc67\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m91ac25ee92\" x=\"26.925\" y=\"10.999219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1d196abc67\" x=\"26.925\" y=\"10.999219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
@@ -1030,7 +1027,7 @@
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m91ac25ee92\" x=\"26.925\" y=\"52.579219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1d196abc67\" x=\"26.925\" y=\"52.579219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_6\">\n",
@@ -1044,7 +1041,7 @@
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m91ac25ee92\" x=\"26.925\" y=\"94.159219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1d196abc67\" x=\"26.925\" y=\"94.159219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
@@ -1058,7 +1055,7 @@
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m91ac25ee92\" x=\"26.925\" y=\"135.739219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1d196abc67\" x=\"26.925\" y=\"135.739219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
@@ -1072,7 +1069,7 @@
        "    <g id=\"ytick_5\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m91ac25ee92\" x=\"26.925\" y=\"177.319219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1d196abc67\" x=\"26.925\" y=\"177.319219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
@@ -1107,7 +1104,7 @@
        "    <g id=\"ytick_6\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m91ac25ee92\" x=\"26.925\" y=\"218.899219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1d196abc67\" x=\"26.925\" y=\"218.899219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_10\">\n",
@@ -1148,7 +1145,7 @@
        "    <g id=\"ytick_7\">\n",
        "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m91ac25ee92\" x=\"26.925\" y=\"260.479219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1d196abc67\" x=\"26.925\" y=\"260.479219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
@@ -1223,18 +1220,18 @@
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        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
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        "   </g>\n",
        "   <image xlink:href=\"data:image/png;base64,\n",
-       "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\" id=\"imageee6c583219\" transform=\"scale(1 -1) translate(0 -266.4)\" x=\"177.84\" y=\"-10.08\" width=\"12.96\" height=\"266.4\"/>\n",
+       "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\" id=\"image34574185ec\" transform=\"scale(1 -1) translate(0 -266.4)\" x=\"177.84\" y=\"-10.08\" width=\"12.96\" height=\"266.4\"/>\n",
        "   <g id=\"matplotlib.axis_3\"/>\n",
        "   <g id=\"matplotlib.axis_4\">\n",
        "    <g id=\"ytick_8\">\n",
        "     <g id=\"line2d_12\">\n",
        "      <defs>\n",
-       "       <path id=\"mcc3a4d31f0\" d=\"M 0 0 \n",
+       "       <path id=\"m624437e999\" d=\"M 0 0 \n",
        "L 3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mcc3a4d31f0\" x=\"191.1426\" y=\"277.064496\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m624437e999\" x=\"191.1426\" y=\"277.064496\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
@@ -41643,7 +41640,7 @@
        "    <g id=\"ytick_9\">\n",
        "     <g id=\"line2d_13\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mcc3a4d31f0\" x=\"191.1426\" y=\"243.806336\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m624437e999\" x=\"191.1426\" y=\"243.806336\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_13\">\n",
@@ -41658,7 +41655,7 @@
        "    <g id=\"ytick_10\">\n",
        "     <g id=\"line2d_14\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mcc3a4d31f0\" x=\"191.1426\" y=\"210.548177\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m624437e999\" x=\"191.1426\" y=\"210.548177\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_14\">\n",
@@ -41673,7 +41670,7 @@
        "    <g id=\"ytick_11\">\n",
        "     <g id=\"line2d_15\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mcc3a4d31f0\" x=\"191.1426\" y=\"177.290017\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m624437e999\" x=\"191.1426\" y=\"177.290017\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_15\">\n",
@@ -41688,7 +41685,7 @@
        "    <g id=\"ytick_12\">\n",
        "     <g id=\"line2d_16\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mcc3a4d31f0\" x=\"191.1426\" y=\"144.031857\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m624437e999\" x=\"191.1426\" y=\"144.031857\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_16\">\n",
@@ -41703,7 +41700,7 @@
        "    <g id=\"ytick_13\">\n",
        "     <g id=\"line2d_17\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mcc3a4d31f0\" x=\"191.1426\" y=\"110.773698\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m624437e999\" x=\"191.1426\" y=\"110.773698\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_17\">\n",
@@ -41718,7 +41715,7 @@
        "    <g id=\"ytick_14\">\n",
        "     <g id=\"line2d_18\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mcc3a4d31f0\" x=\"191.1426\" y=\"77.515538\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m624437e999\" x=\"191.1426\" y=\"77.515538\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_18\">\n",
@@ -41733,7 +41730,7 @@
        "    <g id=\"ytick_15\">\n",
        "     <g id=\"line2d_19\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mcc3a4d31f0\" x=\"191.1426\" y=\"44.257378\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m624437e999\" x=\"191.1426\" y=\"44.257378\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_19\">\n",
@@ -41760,7 +41757,7 @@
        "    <g id=\"ytick_16\">\n",
        "     <g id=\"line2d_20\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mcc3a4d31f0\" x=\"191.1426\" y=\"10.999219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m624437e999\" x=\"191.1426\" y=\"10.999219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_20\">\n",
@@ -41829,7 +41826,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p78e3dccea1\">\n",
+       "  <clipPath id=\"pf83737fbb0\">\n",
        "   <rect x=\"26.925\" y=\"10.952496\" width=\"133.056\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
@@ -41845,12 +41842,12 @@
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "a111dbe546ab460b99698d7bfa8cee29",
+       "model_id": "67420196397841fca208318b0b0ef634",
        "version_major": 2,
        "version_minor": 0
       },
       "text/plain": [
-       "HBox(children=(HTML(value=\"<a href='./tmpfe0_20r5.pdf' target='_blank'>./tmpfe0_20r5.pdf</a><br>\"), HTML(value…"
+       "HBox(children=(HTML(value=\"<a href='./tmpjik6yf90.pdf' target='_blank'>./tmpjik6yf90.pdf</a><br>\"), HTML(value…"
       ]
      },
      "metadata": {},
@@ -41901,8 +41898,8 @@
     "    ax.set_axis_off()\n",
     "    norm = matplotlib.colors.Normalize(vmin=h0, vmax=h0+.05)\n",
     "    ax.plot_surface(X, Y, Z, rstride=1, cstride=1, \n",
-    "                    facecolors=cm.copper_r(norm(state.T)), alpha=0.6, linewidth=.75)\n",
-    "    m = cm.ScalarMappable(cmap=cm.copper_r, norm=norm)\n",
+    "                    facecolors=matplotlib.cm.copper_r(norm(state.T)), alpha=0.6, linewidth=.75)\n",
+    "    m = matplotlib.cm.ScalarMappable(cmap=matplotlib.cm.copper_r, norm=norm)\n",
     "    m.set_array([])\n",
     "    plt.colorbar(m, shrink=.5, ax=ax)\n",
     "    plt.savefig(save_path)\n",
diff --git a/examples/PyMPDATA_examples/utils/__init__.py b/examples/PyMPDATA_examples/utils/__init__.py
index f5f01006..edfb2a6f 100644
--- a/examples/PyMPDATA_examples/utils/__init__.py
+++ b/examples/PyMPDATA_examples/utils/__init__.py
@@ -3,5 +3,6 @@
 """
 
 from open_atmos_jupyter_utils import show_plot
+
 from .merge_images_into_gif import merge_images_into_gif
 from .nondivergent_vector_field_2d import nondivergent_vector_field_2d
diff --git a/examples/PyMPDATA_examples/utils/merge_images_into_gif.py b/examples/PyMPDATA_examples/utils/merge_images_into_gif.py
index a7ab4b02..9e7483df 100644
--- a/examples/PyMPDATA_examples/utils/merge_images_into_gif.py
+++ b/examples/PyMPDATA_examples/utils/merge_images_into_gif.py
@@ -1,11 +1,13 @@
 """ animation utilities """
 
 import os
+
 import imageio
 
+
 def merge_images_into_gif(image_folder, gif_name, duration=0.01):
-    """ creates a GIF file from a series of animation frames """
-    with imageio.get_writer(gif_name, mode='I', duration=duration, loop=0) as writer:
+    """creates a GIF file from a series of animation frames"""
+    with imageio.get_writer(gif_name, mode="I", duration=duration, loop=0) as writer:
         for filename in sorted(os.listdir(image_folder)):
             image = imageio.v3.imread(os.path.join(image_folder, filename))
             writer.append_data(image)