validation.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## By Jacob Turner"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Import FEniCS module"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "from fenics import *\n",
    "from mshr import *\n",
    "import matplotlib.pyplot as plt\n",
    "from IPython.display import Image\n",
    "from IPython.display import set_matplotlib_formats\n",
    "set_matplotlib_formats('png', 'pdf') \n",
    "import numpy as np \n",
    "import sympy as sym "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Create the mesh on the domain that describes the battery cell. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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5yaetYolTxPxWEcqEOTNRe2g3X152LLjj2Hc7aOK0aGQBYyCVbsuWFQ0LJ4WhQ3eL43AljYNm69SWb6wQTosVWtFcj1GScLNeFM3i4D8tsqC2PGqTPSyCjMGuHT+CVoukoMWJq5CEZa+NMzgbUWVoUMnicTZTdVWrOBrN3ZgrbCsMQ2wIJd2w34deaJcOM7Ycp29YKS11yvuMdd+3cegrNH9Bq4Va0NxeVjRfqZXczOrBcIKAmEDJ3LK2jeFfHWNPBDxymodEqaJFdKSgWdCkFoREbE24udJN3cQyU0KYQXvDsVZ8nqpscTXdwLpBCG26WLOesa8Y0j7fwCoANHxYxdFLUDuxS8xjaJk/S1gePCtYGjwrZOBnBJwliVAjzjDbQgj9M1lcdRrRfTxPjLPKEcXha7anlIHa09Dwm+t2YGwuFm/hCjd7FoVVYoEq+ZpuMOymgG60xbJZTATUuZPbcT16FLQOA6c03zx/IMlynGjH1Ta22khkxMcwUmBUZganVQMKWtiSQhLe3qpsFgM/dzibFXXSPruZbU6XGQGrc2FBy1Oyhi6x+AH0gvkU3JH2zs6dBK0kETQ9oZZyXFNYdMns4PpzDadaAml49M8Te4q5gTkQbF3Bnx1K68zy5HaOoHXMDaW5eSZglqZ5J/Y1kuRzyzd+334hQqYf4TVl2QLhsU1m/4INUzAy27AE+JUWlOVJyJzlYfeSJbGwaPAApaLYCXZwsDe3fMlsw/NrYDBSpKdQFL1cG8bNq2AhM/14uEexwsRuwyPZlCwj3F7kbDNUpGxTlORxj5gdO4HoQ9ho293uQl2bgLNCBM4mWwD9bASL7fgKWWfstRLjxAENYquzL/Yn5td9aBmjhfXIYREkqARhlvtw3rs0sk5CsO3ApbG2iYB/QSunpKBZRtCyFtpv+8Op+/64JLrck+vIDKh0PuXUqEIpirkR+1Cun1ki1qdp59i+7aKEYmMQG3XWVi6HVbwCh8ldFVIKFvEwHbMZelN+YYS1hKFyGA7kWgXO8tVPlEsn/+JCx9CBATmDt3mK2SM8bL9jSHBYjUmMZgeD1WDI2dOMreC5M4/wKoaAzZ9YAubpoLGfpluaZeuMRRZ1c2a2GZ1GzJ1Oy3mkV7kFze1sBbNEoM81DmvpGZHw8wivQnOYZgGNfI4MIzHMyYKvKQU9ZQWtUgEELRxTgmYx/1puPslV2cwXtqy4741UKCP35LY2M5IoKMOxWFwevug6ojDzV4/QaDVOq1VU0DyOWNEsvFjLzSPK3hbqO0dhtVtXZ/kTu14H8Xa3X9iLE/6JfS6Xu9YFS5zz82IM2Gv21dovvs8MLs1AUZ7rwVGavkFRlv/xKOsmgB0gtuiyNQym7yksa21Ziopq3Zf6iJIKjEMeW50x4iGVTYNWNp/SGp/HWZlvw1gRAszQaxUGivW1uXmYaXc7lqztYkGL5AgB8/M/LQizdFXZLGzuTuzrIeJwILaM9SiNxR3Nn+PuxdzTczitcpAELdJzBE0SmTTMk2JUJZn5M3zAtWExnq4WhzEU0o2jlNPCPOOwMs+EIOyEUNO8kthwMrZM/A7ghClajuhFFlhLWRGAyllyp+CNDCRY9a1jrpbc8nWxNJ7YVbXgrLQ0bOOpyXwyKcN2Ci955SNloarYN1e3exMESxMTkl2Mg7YerWOu3OL1gktZseDycnmCI2fptifZy5o9bAD/dY5QPgoWQr/f/rdfQ8hpdbGgoNnthD+S5Du/dAS028Apw4sY/TgblydzlBU+cFEwP2oTMDuuk2IwD/2Ypy6NWDO7ihPKT253IcOcVkHAgma3f2pJWCTxUGMwIpufV+LBbILiv+k82wVMHOZXOSqYBr0qmN3LNPTEgn5Fl3YYONao+x20ZpxgRnrNCpE5q9RaxrJ6jPMlu4gh1Ve3gwlsQO+zhst1mZQV12VylgosZODHoLxcUuV5V0+Brdjsa8FQOd0OtnYGZ3kKjGBVXBIaJ8U8h2vEzDldUbaMYgFLKSjML69Yf7BYTua5MVY5nuHlOjMBU/G2RNdL0ZdZ/Qyf5bjCYqIeSSmWAwFdE7tS9jeas6CFMSFgEWgnBOGZ1qpslmyjShbnA2ZyuWxhZB5zM5m76aWzDDgtciMETFNulRw8dggTInZvSqgZGN7bQHzdZZ4zWmeeU5o63hXMHUaCZt77cSpdsCua0zA0aNo+95sNXNAqA1HQMsqY0iwxUcvNt3t0AiZvR5OUEUBSuzZpOCtO9jhLTRohAzF0Fq/mkp9BgwNvwXV7ZSCLFhxyQjPNtqaZP76PS56UzipgpWkLmmvaFpIW3QifsetgEvSnO4ctp4UkihYOWykJC/RQNPPjzpQAGGim/GIEtJYspvMumIXR6qBA0CKYhbHqxiAhtUhzFnKwiJg1nAVTDc10OpkVoS+cXfdZzgonkq06bgx2N5SA0x1Hq7XJWXnFEWPZoxUSZrckfZqjKKXQrI0x5hPm0AyLFTcscloILWAhtRCEh6CpsknVsX1jL8XEHJPZYqX6yaW8e98ozGsoC6ZRcxwmgY6r/vrWrp8VY86uFsVi9J3ZG0WXs8/lCvNOwNRcMhdQcBE/gmW49oZlQpuClBXmHS+XO5w4S4y+aQrCuMFX2InmpZ2rhQgHELSKaBE0jx5QNAuL+ZHcX2fXW2LsuiQ+X+4l6HW1FTRXcBXMNNmR1V6TxQHMxDOoM7d56pxWrw2JsnkahyqbJczNWOjuvx4hstTSqFdoDquwX14yz9vkML0aV5bMAoeHOws/WONwVcZw3LypbtqmsKiggHmg8pMYS8LvTcnXDN7hZMRKCWqkpLheu7u5L1TQ2t1JaZlTRSXhNySoslmCuS6bZWaNHdzSLIcdFjCN2k3eJGVVDhFleSwxFYHmQPJSWarocPUnOxUr43OxMJ+T/b/dBMBpdROAoLlzW9G8/5Z4gO+bndRbZU8sj9W4sOPrpdwbdi0XtYtYfaHt1Ww5K93tV3NulwxQVtwywFlunXP2evnA50h+gn2F0YK19cM5bDN3l2xzmmdQKZimfSk5+LHO232AOVbnK0L3LgUGro4SBvK0REpy5wOmZzq9TKXOcjkrIkw5y0PGn2RYAnPtNsLcoxneGCsJm8r7HIk/c0FoccSnyuYXIKqy2f1zP5B72yP79CmMy77tgLx4v+dIrE94CVi8zqdp/HgbaqLdvBqnvrW+B7g84sUFeYaX58EETMWbCQi5dmu+aBc5YPEpsmgBqwYRtNwYKP3fFnuRxE5Ug4WT4DMWoBrTvN5Pn+0SWtRSlS3UbFG2PglmZbMD4rtaXjX7T8saw+Y75g0sbPM6xPqSh2gCFjfAc5pnyWv4cn+eloMfokW72T9ZwJgd5lS0yrYDbG/aUFQkDXGWvHQjWRbV+yDtJgHs65YwBF6wUwM2+PlMCJeWszTHibM8iViUy2pWLWDNYx02P0qMrt7cGMhZMSo5yw+YuQx8lPFyyY03kiVH36OH8VuoiJ2bZOer1kg4KnqNs/xahXsRvrWaRdN5nxI9hbhTcjuQwuhwxW45MP+K+RjH4sfT0jjLD68oy/MIJXvJRJQykCS4cdFfwQJrdzxYn0fvhk9OBEhxWL8kx2h1ICQEEUc8QhIRJCUkYadhI/PO2aWhyY7qSrlcLr95SjnLQ/M4yz2lkj37Tz/NfzU8zd7mgW3CZb/vZgs75CyXl7J8gopySYDhp3mYsLxZELRpxOjc5k+JXttVboIWbipOC0ecKpv7nnTZFwfdyBG2ZdXULtOfsb76/a6zPWOQ00IJV2UL3Y3TIkUIG0OvBVray5yyWGjHkZd4P4iy4qkyXi59q0yw18fO7kS4LovY5KGe2NY/jBT05X5avz2DzFmVdy9o/nqFplnivYW7Rj/UY8yQ2FJsJ9NvHUiCFgNJ0TwGRsDc0ml2bB3QNYOuGGPx5l4oQavxL2ieMysEocE4CmZTSMvBGmozcM31Wep89v35ylRBc9t5hYV5pmjm4lzpNcGP5+8/sTy4f2VpTr5AqT6zRAgsrwzxuIEndj3M5qwIBZAwOVJf3s5+fH77iV3PPjgrrvR6tzDUJru+6BxSv97c/QSv+hFn+e2g689hbQi9nK6aFVIoem0NQYtL7RbaxG6X5+TFw1YU3q4v4bCIv3p34eoRo/vVE7osFhwVu88SyPO9gz2KwFEeCbSyYr/8htchxC+Vv0dpON5K0mu83r+09NjTgsLQbSBQVAT0cPZ+NVmv0uHvpT6gVNgVZU+lvof3alQ/bRacXc0Wzj7tAOtMfxgvguUL6srShwlWeN1in1Z1ztK5u6Li9HQ5v3uf+jzdR05R3hULyo/0OErO+bZ1cV0RHs8VBCziYFZa6K2K5jodamu+y5Je0DhzbXFc9M8PZDkrHgHiLH1BlaPkCdZncVcRLPmvR7t1z5JksW6G/Xb27VyasrxqguX3DTzJ8FwuqfG47Q4WLDY5S1avuYZ088oTZUW38XL5I7m8XN5vkr2+c2Mj1eJ4ywh5g3kS6m44nO+BYbS8B4bC/HBcwOwumXm1S3J2BpqGmV9mfDJ3O3CWuxI4SycSR4mDYcYsORegHwzrMc3nyniAB2fpdQkCpcnGTyKcxmWAcmtx3q59VBsGNzdRC1qdmomy+amZKJo/h6NodpqGBQC91nu2QpzpZHW+VCHS2jis0usEzd/mUjSvpC6bJtg9VvKdHTfuVoBRkaCclPCRSsMCID3DnBVHN7xcfuDGyyXHcOOSSSyTdvoGyaql9WlPNmeFvJzlR02cJQdQUl7iC5flktYZa2czt2CyWYwBe85w3w6nKCsOnDir4rEYS1VuwZJ8qx/UbZEXo71D6SozsQB20YTVm6ycpsk2qmSebPMsx3oZsZKD3zNrD3GGPbJqhE6GdoqAEuj72OQR5VdlZ29nI+ZXR89gRxkedF4qR/m9GQz9DQKQCsynCVyyeWp+NRe/TgjZE34MldeiEJQ+dqMEIK/H8FJpOKOl72KrNPu+md3i6zjE4Pl+HBbRjAIWF2sIOXg4oyqbn6kuIegWAIx6vfet63uGzzRGBdaO5Z3nKy2uYFom7aXs+fkiyS19keRKq3d6oMfEnqbHFNtB6zojh7PiXQnO0ivqOUourp9LikWlmFtkeJxc7y+dQs5pkRUuYP5OnYDFTQBCavbYnaZZ1vpoPdP5sPk0wFjou76Xh7NCBeGs6mzG0theIS8JNZAsV21MmQNdR/hs8gHT56UzHzmtkhkFzZNlFM1yHNeF4x1y9XxVI2d5Dt/K8vQ5wbL7/CRKsv2WeyHP4t7cFsnZS9UuLI9dEyyPMcPgbuMcxv65mXcvfXUdZW0Uo7Q4dELYm3NCc5ZnHDOUXtw2IqywhvvhPETdqpseGRVRLGl6KM9pEd2hyhbxx6Jsfr69nBuUEdOxO6bFaQJnt0uTKTvSiXzr8+1D7NxtbDt2ZzL0yxaGHwlVmvcD6uuYCXxzHTOjf5sg7E7nH4j9rvrQpaCejMqY1wHG0BGi8JXPsl30TGHhseMsv7hZwNxhlzvGYB03jmDRtXvx/J63tClGglYv8AlavMAnaK7+/UDub81tJPNWzBR0nTleQ4rl5gpVyvJrUXmx/NUjzlo6PMSM5mrEEhvqTbn0Qj/Ocn9ERHM795XqjIrncPO6gKL5JFQ0vxNd0CIXW9Biyo7xAKUwjMkJrSn0vZLru64CFnXkMF9nOEzXk2M4j2Z69gmYX6KNab+yY+RXi/V5Zt8XsK+sZVgX9FUbQRS9zrtF1PtZHBbv0nGYH7lyWCj6i6v+6wTgOUGTonYPFwZIzQrl7vvljPBU6k0mJ0UvApxRetrBSX5aZjPKW6Kv6doN06xuY2HTAwQs3pGisLhDU5TM0+tkyZebNTf/wTufTz569kxfHrm+0iJvfs1aPJd9+BnPktzS/LntnRbJjMupyffRxlb2GsHwTPMbBVdYHaYstwGei56fL4Lc0vxKwRVG3yTzQI+UbhgU7eRksr0mzBCYm1VgTs0TejNf/bhF353mthkoATrMz+DNGc5h4d9+t8S55Pn1IsYdfBHjAmc7G4baV5evGxuaJTrMkMXnrha08BGutFAp12F+Lvt29Ata+AhXWtyyh23fFR/Ni2xqgfd7xOcW0UZR7jUSLA1/4yh1MD1J+3XznSyVuCPHdYrQ2P3XE8i+xrBHim0hXYJWL90LmseF3tDXcFbT2FLDum43/TfUVT+hwkj5ZBVBaQ7n/e+vOfScJI9jzX7Ledyd79q4b+sUaLpFzHFYKHuK5hHLmqbheE9iv0P6ZiQRtli71RO6GwzU4k77KvTrDK2kFE2Lt4AUbUm0h7vG7DnYBTf0Kkm3MIt0I7Z4ZsiOYSHZiJO2oNJ+yS9Ye1LQ4mocRYtJ9SzJ0u+6bHYRi+WBYFt3nhzcXjcrQasXagVN97ZnQdYTZFU0exN3ewpt9aepfLpHWjyzttJ2kNuKy9N0zdmVeuTqeazlZZxwQ7vwQ9cVzwFTVjQ1Y/l9f7xY3nC2KtiUSXYHeYHVfgq83SKFKSuMXAGr7ZWgehm7Efgdyv5p609K47FsO+MN1R1JdOLRXUELs43TwpRQZfNU3ZuyL9elDF8JfgWGMqpjj7qEmysmBSvODTgsbv6kMLul8pjargRbpW1Udn9WW9fNRdDisnFFY6KEnKodo0BTwHjO6WeSvDcXVTS7mbyb7yJbJKaFMNghw54FtiqtnOXBF4KlytejDG9VVBZ7jdRobZxouhml5Is/UhrZuzwM5VFZvFQaNMxLpXFWHCU3AwiUxRyPqFOrKoSBrohOtzM/GS3EWR4uxNlrZJBEiSNUscSW/xx6UpkhVxjKyZ6Fkh5PwfIIZM7SZGaKMlfs2Aow/+O4w33E/877o3jWCGf5VX4KFvlhkmYZKY9Cv7Na5gFFxUgxJc1UW+xER3wMvWyY00KhUGWL17sETRUQJchVL/n8NWzfZnEJfSSW1+ml5AFtlBVmrSiYxmRLllwxI4UAih1uKDYt136k0Lc6lAfztvZsfqeXyjATMMsxU6iIHxG0iB95lPlZDhaCMoY+Kjs3YZtKvZ7SGLf0SA6Lx/kUTaMcHuV4X/87YBjqZiv7PGNWblI6KatFZrDI/3yS4plllR5KTanZhXFLFcaZd9qpy1mRmsFZ8pLcswzLkc3Q/otFyntTh3uJp55br+WnrBwSt+VWu5U7vV06pNxr6MwI67WNrYzMmW7aY3nJF/koKyOLWbkqtJiVy3uCs1QFGcHJxXYVb8G/bl5Zx48ZBMwjIRUs3iOTNDnB+IHQy7kL1i4L47Wb081j1g4P7ZJGtjoVBC2ikgXM08ge5ViW5BsxLve0jmDP0jF50zhSt3d8etSeEEGrG+YFzf0mimZXyf9E7i22qNkdW9m0PDNwC/SK0z0JqxolaPEsyw/KXtYOVbZ4RMmyG+2yj+kaq1h1yq3cjL55cJLRspYPkqwPTqqy2auVkqYv2NyVfW3YORtaqUN9gs6JUXG6jmXTwAStpzCDRWLBsyD7HGZFs3QDTbOFYES11IYZMi/EafjBfnoNZDup47R4PUvRPPZf0fwU8Fnu91Hi3KOxZdkMSXbzOzpk38/Xa20oK5xiAhZ34DxJcdIqqBRXrUIUS9SSkXpo0SN5BExj7mOZfskEC8qKmHteLo+j5+XSg07JXiLxx4tOsYxrV21vwEJ1jtDaNi9BQ9Bkw8bi4+z8ps1jXEWbI39uMGtI3g8keT94Yh7lkjBdve1iIfU+gnj4UyAC5idrAuYHawLmV+JZLBYW7t7Nv1YKpsOuN603IXBWJXsz1FJNGgxSy7CA4D1IlMd1Pkq75IVLES6Z5fN4sTT83wtKTEjO4hZlWAtluX9MsDRmjaMkb/9Z3MdiSRTP51DasSRaTh5+Fst6LcfbwuRBeQWLMy5B8+NEDgv/lSqanTKOVchjf7G3ST02G7ud/3jNg+V5CVoFdIqyeZCmKtsOHbzdZWfZWL35Nk60FU3CQtcUhO/FaXXzrOvbA8oTG1aURxu/o/vXCFvTJP0l6oKz/KEFwWLrgDob87BjsVr7Y6E/vNCPIlBUeMcpyhzeb9f2Yk3K0FJBvwOY90DUpZDl5FqFrT7S23bK6bFBZmwy+Jwxz45M4HcE+XOKN2d5LJBgv78m1G94DV5rnPjWdipGgNOipVefwNIawlXwTK8tLWjuK1Awu4lmo5fZunxdF4FHWAi9wCKRxuYjKmAhBLWYqdLzzTGHoNUptiibJ7Upmp5ja0GuOrtiybH5COCAVevs6TaPjsMU+soFJm9PK5j71gTMvWUcVpnA2ewPaDdjecUCX3QIn2DptBUsf7OBsiS271mEU3YHVCN7nsGMY0w358O3FcXeF2O0fDWMwpYsHIMNF7s0xfvk4w19fU9sLGC22eT5cChGQT/dH7DG0XNYhS1xWLyDp2AaxvUk8xpU0zBooQJh3toSgyHZ+k3KoKB5zqAqmtuKiua2oqLrR4SKlmw/tWvPXPI3krA8xaHFex+yG29tZJv9pyDs9UHWB3bLeKYsf9lDsDTjWbL02qcngRchbPDUEmFMN/MfQ/f9eped3pJCWHn3CWPp2a+Q4XolyjwAs/NSWIXYD7rLZc/HPB/CXVlxTMRZeQh3K8NiAfJiSZyJZMmJ33yc3nd7XtVWVru3Kr/kGyOU5ffui3L5u2uyXPLGCC+XmhnBRpy9bGHxRRas1rfg6+1Rlnt0e/2OovwCMMGyV38ESu//epJ2DfKyu9jRK95aJtmU0dYeRWnvUpSaWpTk3cV/n5iV4yVuqBT9sI96q6nfpMEKWh2hCVo8uywkYRnAmiapt/NtE/yVyvgK5b3sdtaWF8xhVUUOi0NCLsZvEJnWetjr3jLIw36eqF3JjNauZEpzS1lJwjzMP5F7PQetpifaK8lDe4whpZsnqzksTn4EzJ+glnDJPo+3FzDnLDP1Oy9v5mZni9te3nC9Zmy/jXNn+04Ksb2kza5o5mLZ5Cgf9gKxS7sc39LtJdvLzmivHV5+cCvZtP5UW91L/v69c8nB2R0Wp5K/f/BUcirznWH2c3vBMDgyNKl6Kfj4vTPdMNTSyTnyLgQ0/g7VDisHbUdX4aVdXIIWb4hy+rkTodW1nKI/t8hsJqCmsXoz9LeChbdI0fwVJUUzl9OoYu32KskQOozXsVRILGdZUC1YO9/xJ5THEHOUKnzF3NHjAG/Uzbl41x8cFvOEw2wAnEcorNxQ4mWEHgMXdLCbV0pMk7aUqtHGrJ+GIM43V8JX2WmEyzP5TkOuJEudPA+5YyDOGgasfG2w3m4ZnTW89OkQuXjoY5ONZk0be+0ooBF96mouX4L5GQLOKj0Exgpvj44OIazoo3Jn0UbJEbs+2nBjiWijXCiCZrXtUrDGPDebPTMWzs12NOYs2cOcmF/LOKD5V1qPIXGxWI4wy3VmV/wrrcdlDMXhmDiPoWNojZJh5rhwVMTqOku+tv0oOtht5e2r6FKP+l3baM2XXpYR+VDy22a70sdnSkM1woA5Z8Asdh9HxTLwPjo8F3s+ULQDYW/j6Wi3Nl49Z805260FO1scXR2m144NgFluqd2lnSUDYG9h6Mi1x9MB6L5+L015ps8Nv5Zt/sdYT/mr7/ZZCz6jp2YfqAU/jYC+tdnYwDpPJ1iarl6m05xks+SSm2Wy4CvM4nKwl5bf6oadxfpr7+bvamx1O6N7jUfPdZgKZfaRXRM4O+7SnadSocT2vo/192+dhN3ZUxUucx+L2Vkd+l4RprzmB/bHZxhn8ZD4PLD3wWOnuDAC8mnwfI+pfWCe6fN4nV3nQ/0aFFh567FiXcfKuexoj0/EU9nfP3mWe6fP1ZlNAgP92JbRJMUfTXJtqSk35Muzb2FflKNnLgNxymGRHn1nr0PmXEELf+/1UsGjJucK7vS53nN1Sd6ush+3mufeqt5IFMtWIs7yAf3MHsN8G/zVrl04rW8XdBZwQnmpF5SINZduy+E7OsOesb1fsAQtRrKgRUc/00f/zyrWbnXYR7LQAn5Efy8ckr5O40l7DPFjS/TdhUN5uU61YxHtaWp30NhKbnpNUiydrBxms+c8qUpI2Z2VkR/Q5BfPs3svWnQjKjNnW6/pa65cFp65HMWhk5vvrNdab3dAzvKli7PnmXmarhWWU42/Gb381mm+7sXus/iyA1py+rXnKlTbi+vlTH93xo/o06Y7YbR1PX7RY3hft6mtaEXzCfhMPwqiZqso+jLlfyrIbKjL0Ic97c7q6rm1n+hj/lzm4EaLfn+it7JjMNffrA726esWu5WtaN6Vz/TSlQK+rLA/LXrrnC+t2g6rfTpPXai5xCG1s9+z9AfsSbOfbBjBBuNrn0nGulzOntWsQ60LhxJu0fhfGz5Rvjj6W4qly9Izeqxrd+y5vscEDNCkj/0h+9tO4yizpZ7Qtcsoet61flLqMTwOzbq3L/XKQnyvK+3bD/YTetV1BC10NEXz1VNJwlfPYCmvc4Kin2PIJ7l37/UTvXqvf0KvLSho4dgRtNKJOa10YkFfGna2d8jjXMwW7JRDvrccFS36ktNCURP0VWn/Ydnr/vMDem5ihzUd7RJWm1FpPER4p9pxlquXlOVTXZRLlTtR7lk9PJZGH45hgPFV/b3Gz2FhdxBY7KyyZKLvy4KZpvETeOnoGmxgjM8+lT5uL5IOfQELPzalpf/mid49MsWNMDtb3iL2nIutuR8zPtH70eEzva6olFYNKGDRgEIQsaAK+roWTv9JszyfMTWK818+KuGXoSxzSiqWakmiWOJB4azQkoQEZ31oThVLtJvqiA/nQ7j1UPQZfR9mcVY1GGd5g4Va4/CwJQhWLiK8D7Wf2aVmDJXuPMqKYUNZMWwoe2mbweacLakvjqTuGXa1VG0NR3hi1wCDJ3ZvXsby0z/Oqvbl7KV1BuubpT+PQC2oHP1I32NnUpSVR6YEVVVjrKoaY7+n8HbC88DuByb36O405uKyFafYQeHcibPdhTvenhWRGIxdd6710JGy/H5DzopTf8ryXehJ3PUE74ldt3DBXvf1Txt6uV7y1JbJtodgEFaEa4w3GL2N04xJ41IrulzK/jfLXRcdztLJxlE+2ThLVowbES4NORQHDBHLlxlzBTtmP4YOiXrgLI83qObvGPHPmNrYGu/SgCn7HmfrmTkvlsf58GJJxq9keQSKZazGr0Ft73LFo99oWImgRXyEN+nsxtcxEfFHPjsK1+WE0yr6StCm/QZ79rB3e71wPjuvBBGRQYKWkTapen9opTmlmtqtIkxpqQgLWngWBC3sjmd6PW1TknB7XtB0ATXHrIWXXxxh1MvJUeq0e0BXp909unriOMp9kQHrSzvEqvfBT4/sWjHOEpesZH+LvKcKT9SFPpeSYo+397O4bwvimd2agbAqKoAXy1uBF0tUclnuuW0+bY4nrLK92IYV7Drim6hmzvL4z6dy1x36iV3NAs7yfYGzfCtVMrCtNNitjLYYml8j+NZOwaJbZCmFVYTtU8mbH+URXt0oHBa7B4fF5sFhGW6Y3HhwPo6blFvxuquf2D1q/In9NrAVynpasSzKT7H8rJ6xZAwOfaV01y0fEx3qoa3E65HCu59/Qr/dZc/0egAhaNHVkmbhlBLmQSIUJgPxc3qox0OO1gEOY+uydi8j4wldt4Qndt0SOKuiOBirojgoKyJJGHsZh8cumuLRoXYL5zW+bjsb57A4v34qeXWGC/hyBC5h4nyfTj5YXsfpUMNkJ6fo66h/pt/Hbj+h11BtSuvYKArL4ChOqxgtSl9n2mzsam8NzGZtpV4PB7YBQmEVq8JLvsSk/EyMbTRxMS7ncMcKE+xeV/s8bjXzDysdpdVKR2G10lGYH0sJ+Grvfi7NZLZBdqnsoYdnk+WJ/T7PU+zlRPDzZCBt5fKgkwd2k4Gy3GQgLD+gGGPIrhaPY1G7xK6e5OUsD6Pg7Cm44gYVzfsk7qzwGDytx3AsUHY3Q7+szFvI8RP8PkbnsBrCnL0O7AHX6spcQTxMy0v4+h4G/giv9WOwmEgK/g0yk2pP1m5irMOvW71dfnmSeXX3PtOn5mC0riKnL5UZ9gC0pBqns6tAw0nnTX71mAla2hpPZa/+NUGLSgqaedJGk0ALyXF8xY5qN+RoQR7hvSMZLHuGw9f+kjCr91g8YCbMUyOoBt8R/dzyoShXbynKg/9v0S1AmJIi7Lg6/MJ0ghQXr+lHqyfniV0dWpTlqrgoV+0MjBU7AxPhrPd/acv5UBmTu8smfEbXwNcLKvRNUaq0Ga6oNAKuAlw02zlm7I2scXQSRsOdR+KagvXEbqOWsucROp0A6Jpx3wd6M59SgvaMtVtyl5Wil3MijV7kn96xGPw8xq72hJA+EHpC14NlzpKjn8FiPNh74XaSjt/K/a7cW3ZtWoWyBlPsuRklSur7aQe1wY8oDbv4xbt6c9JFUe7QpCivlxCA9YIQ4MfVIu0yRmLGsmtfMZXsKoZ655LjLN+YOMtnA2fpxBUomTmKJWOGffz1d7/+5vXvr9/9RXj96T9e7vWnl3/9+eU+2uu/Xn//+gd8+Sf89/f2T9Yrc7E3jqcEtueSUNnjfYFff/nLv/7r11/+4fW7/20vwL7+8M+/gp+37QdnKmL/CLa35dcf/unX/3D/8/WHP7/+1x9+jd/druV8/9D6gsD9L423PDEMYjAny/5TYf+pYA/R9/0gAj9V7TqX8/EE+6n6AXE6uq5h3bf/sPq8f6RCy+rjkdH1R95f9Y+U/mGXiDb7Txg/4tWP2Hs0duvMeFzo/SvLZ/0zdoGz3TwVxn/uW8znYJes+/m+w/t33p9vfsfu1ixh/kwcvxPl73R7yuy48Gf5nffnm99pmBW9tNlw43eS+p3l8sL1d7Y7DeUYCHW8RTXGQBq/k79+J7z+GtPnPKl+91d//M9/+cc//u3v//L1j/+xSbHMrffXZC9Tfo35v8MQx6od8/lfWD+f/g3+C7ScM/8u6fYX/ubX/wdX2lr8CmVuZHN0cmVhbQplbmRvYmoKMTEgMCBvYmoKMTMwMTEKZW5kb2JqCjE2IDAgb2JqCjw8IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlIC9MZW5ndGggMjQ3ID4+CnN0cmVhbQp4nE1Ru21EMQzr3xRc4ADra3meC1Jd9m9DyQiQwiChLymnJRb2xksM4QdbD77kkVVDfx4/MewzLD3J5NQ/5rnJVBS+FaqbmFAXYuH9aAS8FnQvIivKB9+PZQxzzvfgoxCXYCY0YKxvSSYX1bwzZMKJoY7DQZtUGHdNFCyuFc0zyO1WN7I6syBseCUT4sYARATZF5DNYKOMsZWQxXIeqAqSBVpg1+kbUYuCK5TWCXSi1sS6zOCr5/Z2N0Mv8uCounh9DOtLsMLopXssfK5CH8z0TDt3SSO98KYTEWYPBVKZnZGVOj1ifbdA/59lK/j7yc/z/QsVKFwqCmVuZHN0cmVhbQplbmRvYmoKMTcgMCBvYmoKPDwgL0ZpbHRlciAvRmxhdGVEZWNvZGUgL0xlbmd0aCA5MCA+PgpzdHJlYW0KeJxNjUESwCAIA++8Ik9QRND/dHrS/1+r1A69wE4CiRZFgvQ1aksw7rgyFWtQKZiUl8BVMFwL2u6iyv4ySUydhtN7twODsvFxg9JJ+/ZxegCr/XoG3Q/SHCJYCmVuZHN0cmVhbQplbmRvYmoKMTggMCBvYmoKPDwgL0ZpbHRlciAvRmxhdGVEZWNvZGUgL0xlbmd0aCA4MCA+PgpzdHJlYW0KeJxFjLsNwDAIRHumYAR+JmafKJWzfxsgStxwT7p7uDoSMlPeYYaHBJ4MLIZT8QaZo2A1uEZSjZ3so7BuX3WB5npTq/X3BypPdnZxPc3LGfQKZW5kc3RyZWFtCmVuZG9iagoxOSAwIG9iago8PCAvRmlsdGVyIC9GbGF0ZURlY29kZSAvTGVuZ3RoIDMzOCA+PgpzdHJlYW0KeJw1Ujmu3UAM630KXSCAds2c5wWpfu7fhpRfCkO0VoqajhaVafllIVUtky6/7UltiRvy98kKiROSVyXapQyRUPk8hVS/Z8u8vtacESBLlQqTk5LHJQv+DJfeLhznY2s/jyN3PXpgVYyEEgHLFBOja1k6u8Oajfw8pgE/4hFyrli3HGMVSA26cdoV70PzecgaIGaYlooKXVaJFn5B8aBHrX33WFRYINHtHElwjI1QkYB2gdpIDDmzFruoL/pZlJgJdO2LIu6iwBJJzJxiXTr6Dz50LKi/NuPLr45K+kgra0zad6NJacwik66XRW83b309uEDzLsp/Xs0gQVPWKGl80KqdYyiaGWWFdxyaDDTHHIfMEzyHMxKU9H0ofl9LJrookT8ODaF/Xx6jjJwGbwFz0Z+2igMX8dlhrxxghdLFmuR9QCoTemD6/9f4ef78Axy2gFQKZW5kc3RyZWFtCmVuZG9iagoyMCAwIG9iago8PCAvRmlsdGVyIC9GbGF0ZURlY29kZSAvTGVuZ3RoIDI0OCA+PgpzdHJlYW0KeJwtUTmSA0EIy+cVekJz0++xy5H3/+kKygGDhkMgOi1xUMZPEJYr3vLIVbTh75kYwXfBod/KdRsWORAVSNIYVE2oXbwevQd2HGYC86Q1LIMZ6wM/Ywo3enF4TMbZ7XUZNQR712tPZlAyKxdxycQFU3XYyJnDT6aMC+1czw3IuRHWZRikm5XGjIQjTSFSSKHqJqkzQZAEo6tRo40cxX7pyyOdYVUjagz7XEvb13MTzho0OxarPDmlR1ecy8nFCysH/bzNwEVUGqs8EBJwv9tD/Zzs5Dfe0rmzxfT4XnOyvDAVWPHmtRuQTbX4Ny/i+D3j6/n8A6ilWxYKZW5kc3RyZWFtCmVuZG9iagoyMSAwIG9iago8PCAvRmlsdGVyIC9GbGF0ZURlY29kZSAvTGVuZ3RoIDIxMCA+PgpzdHJlYW0KeJw1UMsNQzEIu2cKFqgUAoFknla9df9rbdA7YRH/QljIlAh5qcnOKelLPjpMD7Yuv7EiC611JezKmiCeK++hmbKx0djiYHAaJl6AFjdg6GmNGjV04YKmLpVCgcUl8Jl8dXvovk8ZeGoZcnYEEUPJYAlquhZNWLQ8n5BOAeL/fsPuLeShkvPKnhv5G5zt8DuzbuEnanYi0XIVMtSzNMcYCBNFHjx5RaZw4rPWd9U0EtRmC06WAa5OP4wOAGAiXlmA7K5EOUvSjqWfb7zH9w9AAFO0CmVuZHN0cmVhbQplbmRvYmoKMTQgMCBvYmoKPDwgL0Jhc2VGb250IC9EZWphVnVTYW5zIC9DaGFyUHJvY3MgMTUgMCBSCi9FbmNvZGluZyA8PCAvRGlmZmVyZW5jZXMgWyA0OCAvemVybyAvb25lIC90d28gL3RocmVlIC9mb3VyIC9maXZlIF0gL1R5cGUgL0VuY29kaW5nCj4+Ci9GaXJzdENoYXIgMCAvRm9udEJCb3ggWyAtMTAyMSAtNDYzIDE3OTQgMTIzMyBdIC9Gb250RGVzY3JpcHRvciAxMyAwIFIKL0ZvbnRNYXRyaXggWyAwLjAwMSAwIDAgMC4wMDEgMCAwIF0gL0xhc3RDaGFyIDI1NSAvTmFtZSAvRGVqYVZ1U2FucwovU3VidHlwZSAvVHlwZTMgL1R5cGUgL0ZvbnQgL1dpZHRocyAxMiAwIFIgPj4KZW5kb2JqCjEzIDAgb2JqCjw8IC9Bc2NlbnQgOTI5IC9DYXBIZWlnaHQgMCAvRGVzY2VudCAtMjM2IC9GbGFncyAzMgovRm9udEJCb3ggWyAtMTAyMSAtNDYzIDE3OTQgMTIzMyBdIC9Gb250TmFtZSAvRGVqYVZ1U2FucyAvSXRhbGljQW5nbGUgMAovTWF4V2lkdGggMTM0MiAvU3RlbVYgMCAvVHlwZSAvRm9udERlc2NyaXB0b3IgL1hIZWlnaHQgMCA+PgplbmRvYmoKMTIgMCBvYmoKWyA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMAo2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDMxOCA0MDEgNDYwIDgzOCA2MzYKOTUwIDc4MCAyNzUgMzkwIDM5MCA1MDAgODM4IDMxOCAzNjEgMzE4IDMzNyA2MzYgNjM2IDYzNiA2MzYgNjM2IDYzNiA2MzYgNjM2CjYzNiA2MzYgMzM3IDMzNyA4MzggODM4IDgzOCA1MzEgMTAwMCA2ODQgNjg2IDY5OCA3NzAgNjMyIDU3NSA3NzUgNzUyIDI5NQoyOTUgNjU2IDU1NyA4NjMgNzQ4IDc4NyA2MDMgNzg3IDY5NSA2MzUgNjExIDczMiA2ODQgOTg5IDY4NSA2MTEgNjg1IDM5MCAzMzcKMzkwIDgzOCA1MDAgNTAwIDYxMyA2MzUgNTUwIDYzNSA2MTUgMzUyIDYzNSA2MzQgMjc4IDI3OCA1NzkgMjc4IDk3NCA2MzQgNjEyCjYzNSA2MzUgNDExIDUyMSAzOTIgNjM0IDU5MiA4MTggNTkyIDU5MiA1MjUgNjM2IDMzNyA2MzYgODM4IDYwMCA2MzYgNjAwIDMxOAozNTIgNTE4IDEwMDAgNTAwIDUwMCA1MDAgMTM0MiA2MzUgNDAwIDEwNzAgNjAwIDY4NSA2MDAgNjAwIDMxOCAzMTggNTE4IDUxOAo1OTAgNTAwIDEwMDAgNTAwIDEwMDAgNTIxIDQwMCAxMDIzIDYwMCA1MjUgNjExIDMxOCA0MDEgNjM2IDYzNiA2MzYgNjM2IDMzNwo1MDAgNTAwIDEwMDAgNDcxIDYxMiA4MzggMzYxIDEwMDAgNTAwIDUwMCA4MzggNDAxIDQwMSA1MDAgNjM2IDYzNiAzMTggNTAwCjQwMSA0NzEgNjEyIDk2OSA5NjkgOTY5IDUzMSA2ODQgNjg0IDY4NCA2ODQgNjg0IDY4NCA5NzQgNjk4IDYzMiA2MzIgNjMyIDYzMgoyOTUgMjk1IDI5NSAyOTUgNzc1IDc0OCA3ODcgNzg3IDc4NyA3ODcgNzg3IDgzOCA3ODcgNzMyIDczMiA3MzIgNzMyIDYxMSA2MDUKNjMwIDYxMyA2MTMgNjEzIDYxMyA2MTMgNjEzIDk4MiA1NTAgNjE1IDYxNSA2MTUgNjE1IDI3OCAyNzggMjc4IDI3OCA2MTIgNjM0CjYxMiA2MTIgNjEyIDYxMiA2MTIgODM4IDYxMiA2MzQgNjM0IDYzNCA2MzQgNTkyIDYzNSA1OTIgXQplbmRvYmoKMTUgMCBvYmoKPDwgL2ZpdmUgMTYgMCBSIC9mb3VyIDE3IDAgUiAvb25lIDE4IDAgUiAvdGhyZWUgMTkgMCBSIC90d28gMjAgMCBSCi96ZXJvIDIxIDAgUiA+PgplbmRvYmoKMyAwIG9iago8PCAvRjEgMTQgMCBSID4+CmVuZG9iago0IDAgb2JqCjw8IC9BMSA8PCAvQ0EgMCAvVHlwZSAvRXh0R1N0YXRlIC9jYSAxID4+Ci9BMiA8PCAvQ0EgMSAvVHlwZSAvRXh0R1N0YXRlIC9jYSAxID4+ID4+CmVuZG9iago1IDAgb2JqCjw8ID4+CmVuZG9iago2IDAgb2JqCjw8ID4+CmVuZG9iago3IDAgb2JqCjw8ID4+CmVuZG9iagoyIDAgb2JqCjw8IC9Db3VudCAxIC9LaWRzIFsgMTAgMCBSIF0gL1R5cGUgL1BhZ2VzID4+CmVuZG9iagoyMiAwIG9iago8PCAvQ3JlYXRpb25EYXRlIChEOjIwMTkwNTA1MTQ1MDM3LTA3JzAwJykKL0NyZWF0b3IgKG1hdHBsb3RsaWIgMi4yLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZykKL1Byb2R1Y2VyIChtYXRwbG90bGliIHBkZiBiYWNrZW5kIDIuMi4zKSA+PgplbmRvYmoKeHJlZgowIDIzCjAwMDAwMDAwMDAgNjU1MzUgZiAKMDAwMDAwMDAxNiAwMDAwMCBuIAowMDAwMDE3MDMzIDAwMDAwIG4gCjAwMDAwMTY4MzkgMDAwMDAgbiAKMDAwMDAxNjg3MSAwMDAwMCBuIAowMDAwMDE2OTcwIDAwMDAwIG4gCjAwMDAwMTY5OTEgMDAwMDAgbiAKMDAwMDAxNzAxMiAwMDAwMCBuIAowMDAwMDAwMDY1IDAwMDAwIG4gCjAwMDAwMDAzOTkgMDAwMDAgbiAKMDAwMDAwMDIwOCAwMDAwMCBuIAowMDAwMDEzNDg1IDAwMDAwIG4gCjAwMDAwMTU2ODcgMDAwMDAgbiAKMDAwMDAxNTQ4NyAwMDAwMCBuIAowMDAwMDE1MTU2IDAwMDAwIG4gCjAwMDAwMTY3NDAgMDAwMDAgbiAKMDAwMDAxMzUwNyAwMDAwMCBuIAowMDAwMDEzODI3IDAwMDAwIG4gCjAwMDAwMTM5ODkgMDAwMDAgbiAKMDAwMDAxNDE0MSAwMDAwMCBuIAowMDAwMDE0NTUyIDAwMDAwIG4gCjAwMDAwMTQ4NzMgMDAwMDAgbiAKMDAwMDAxNzA5MyAwMDAwMCBuIAp0cmFpbGVyCjw8IC9JbmZvIDIyIDAgUiAvUm9vdCAxIDAgUiAvU2l6ZSAyMyA+PgpzdGFydHhyZWYKMTcyNDcKJSVFT0YK\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# enter battery domain dimensions\n",
    "battery_height = 4.5\n",
    "battery_width = 2.0\n",
    "tab_height = 0.5\n",
    "tab_width = 0.75\n",
    "\n",
    "# cathode dimensions\n",
    "cwidth = 0.00010 # cathode width\n",
    "cdist = 0.10 # cathode distance from top and bottom of battery cell\n",
    "\n",
    "# Main Cell Body\n",
    "originx = originy = 0.0\n",
    "cornerx = battery_width\n",
    "cornery = battery_height\n",
    "\n",
    "# Positive tab domain\n",
    "pox = 0.0\n",
    "poy = battery_height\n",
    "pcx = tab_width\n",
    "pcy = battery_height + tab_height\n",
    "\n",
    "# Negative tab domain\n",
    "nox = battery_width - tab_width\n",
    "noy = battery_height\n",
    "ncx = battery_width\n",
    "ncy = pcy\n",
    "\n",
    "# define cathode dimensions\n",
    "cox = battery_width/2 - cwidth/2\n",
    "coy = cdist\n",
    "ccx = battery_width/2 + cwidth/2\n",
    "ccy = battery_height - cdist\n",
    "\n",
    "# Elements in mesh:\n",
    "meshsize = 20\n",
    "\n",
    "cell = Rectangle( dolfin.Point(originx,originy), dolfin.Point(cornerx,cornery))\n",
    "ptab = Rectangle( dolfin.Point(pox, poy), dolfin.Point(pcx, pcy))\n",
    "ntab = Rectangle( dolfin.Point(nox, noy), dolfin.Point(ncx, ncy))\n",
    "cathode = Rectangle( dolfin.Point(cox, coy), dolfin.Point(ccx, ccy))\n",
    "\n",
    "domain = cell + ptab + ntab - cathode\n",
    "\n",
    "mesh = generate_mesh(domain, meshsize)\n",
    "V = FunctionSpace(mesh, 'CG', 1)\n",
    "\n",
    "plot(mesh)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Defining the heat source generation function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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\n",
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "u = Function(V)\n",
    "# define function that describes the heat generation in the battery \n",
    "def q(u) : \n",
    "    I = 2.0 # current of the battery (Amps)\n",
    "    Vol = 10 # volume of the battery (mm^2)\n",
    "    R = 80 # Internal Resistance of the battery (Ohms) [Increases y-intercept]\n",
    "    V = - .015 # coefficient voltage variation with temperature in battery cell [Increases Slope]\n",
    "    return (I/Vol)*(I*R + V*u)\n",
    "# plotting the function\n",
    "x = np.linspace(1,300, 1000)\n",
    "plt.plot(x, q(x))\n",
    "\n",
    "rho = Constant(1) #2000\n",
    "Cp = Constant(1) #900\n",
    "k = Constant(1) #1.6"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Define values for the dirichlet boundary conditions of the battery cell. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [],
   "source": [
    "gD_top = Constant(35.0) #Expression('x[1]*x[1]', degree = 1) # Constant(100.0) # Dirichlet Boundaeies :top and bottom of battery are exposed to ambient temperature\n",
    "gD_bottom = Constant(20.0)\n",
    "gD_left = Constant(30.0)\n",
    "gD_right = Constant(30.0)\n",
    "# initial condtions in the battery cell.\n",
    "u_int = Constant(1.0) #Expression('exp(-a*pow(x[0], 2) - a*pow(x[1], 2))',degree=2, a=1)\n",
    "#u_int = Expression('exp(-10*(x[0]*x[0] + x[1]*x[1]))', degree = 1) # Constant(1.0) #Expression('sin(x[0] + x[1])', degree = 1)#Constant(1.0) # Initial condition :begin at same temp as outside\n",
    "u0 = interpolate(u_int, V)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Define boundaries of the battery cell. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "# defining parts of the boundaries by creating classes\n",
    "class tab_top (SubDomain): \n",
    "    def inside (self , x , on_boundary): \n",
    "        return near( x[1], pcy)\n",
    "# battery cell main core\n",
    "class Left (SubDomain):\n",
    "    def inside (self , x , on_boundary):\n",
    "        return near(x[0], originx)\n",
    "class Right (SubDomain):\n",
    "    def inside (self , x , on_boundary):\n",
    "        return near(x[0], cornerx)\n",
    "class Bottom (SubDomain):\n",
    "    def inside (self , x , on_boundary):\n",
    "        return near(x[1], originy)\n",
    "class Top (SubDomain):\n",
    "    def inside (self , x , on_boundary):\n",
    "        return near(x[1], cornery)\n",
    "# create classes for cathode boundaries\n",
    "class cathode_left (SubDomain):\n",
    "    def inside (self, x, on_boundary):\n",
    "        return near(x[0], cox)\n",
    "class cathode_right (SubDomain):\n",
    "    def inside (self, x, on_boundary):\n",
    "        return near(x[0], ccx)\n",
    "class cathode_top (SubDomain):\n",
    "    def inside (self, x, on_boundary):\n",
    "        return near(x[1], coy)\n",
    "class cathode_bottom (SubDomain):\n",
    "    def inside (self, x, on_boundary):\n",
    "        return near(x[1], ccy)\n",
    "\n",
    "tab = tab_top()\n",
    "    \n",
    "# create each instance of the classess created above\n",
    "left = Left()\n",
    "right = Right()\n",
    "top = Top()\n",
    "bottom = Bottom()\n",
    "\n",
    "# instantiate classes for the cathode boundaries\n",
    "cleft = cathode_left()\n",
    "cright = cathode_right()\n",
    "ctop = cathode_top()\n",
    "cbottom = cathode_bottom()\n",
    "\n",
    "# Initialize mesh function for boundary domains and mark\n",
    "boundaries = MeshFunction(\"size_t\", mesh , 1) #\n",
    "boundaries.set_all(0) #\n",
    "\n",
    "left.mark(boundaries , 1)\n",
    "top.mark(boundaries , 2)\n",
    "right.mark(boundaries , 3)\n",
    "bottom.mark(boundaries , 4)\n",
    "\n",
    "cleft.mark(boundaries , 5)\n",
    "ctop.mark(boundaries , 6)\n",
    "cright.mark(boundaries , 7)\n",
    "cbottom.mark(boundaries , 8)\n",
    "\n",
    "tab.mark(boundaries , 9)\n",
    "\n",
    "ds = Measure(\"ds\", domain = mesh, subdomain_data = boundaries) #\n",
    "\n",
    "# dont apply these in simulation to use all neumann boundaries [Dirichlet BC Conds.]\n",
    "bc_bottom = DirichletBC(V, gD_bottom, boundaries, 4)# bottom of the battery cell \n",
    "bc_top = DirichletBC(V, gD_top, boundaries, 9) # top of the tab bc\n",
    "bc_right = DirichletBC(V, gD_right, boundaries, 3)# bottom of the battery cell \n",
    "bc_left = DirichletBC(V, gD_left, boundaries, 1) # top of the tab bc\n",
    "bct = [bc_bottom, bc_top] # store dirichlet in array "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Declare values for nuemann boundaries of the battery cell."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Heat flux from batteries on boundaries\n",
    "# Neumann for left and right boundary\n",
    "gN_left = Constant(10.0) \n",
    "gN_right = Constant(10.0)\n",
    "# declare neumann for top and bottom boundaries if necessary.\n",
    "gN_top = Constant(5.0)\n",
    "gN_bottom = Constant(5.0)\n",
    "# cathode boundary values\n",
    "gN_cleft = q(u) #Constant(10.0) \n",
    "gN_cright = q(u) #Constant(10.0)\n",
    "gN_ctop = q(u) #Constant(10.0)\n",
    "gN_cbottom = q(u) #Constant(1.0)\n",
    "# Tab neumann boundaries values\n",
    "gN_tab = Constant(5.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Initiate time interval and step to run simulation over. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [],
   "source": [
    "#define time interval and step size\n",
    "num_steps = 1000\n",
    "T = 10.0\n",
    "dt = T/num_steps\n",
    "t = 0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Create variational problem"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jacobturner/anaconda3/lib/python3.7/site-packages/ffc/uflacs/analysis/dependencies.py:61: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  active[targets] = 1\n"
     ]
    }
   ],
   "source": [
    "# variational problem\n",
    "u = TrialFunction(V)\n",
    "v = TestFunction(V)\n",
    "f = q(u) \n",
    "\n",
    "up = u0 # store u(t=0) in new var\n",
    "\n",
    "F =  k*u*v*dx + rho*Cp*dt*inner(grad(u), grad(v))*dx \\\n",
    "- (u0 + dt*f)*v*dx - dt*gN_left*v*ds(1) - dt*gN_right*v*ds(3) \\\n",
    "- dt*gN_top*v*ds(2) - dt*gN_bottom*v*ds(4) - dt*gN_cleft*v*ds(5) \\\n",
    "- dt*gN_cright*v*ds(7) - dt*gN_ctop*v*ds(6) - dt*gN_cbottom*v*ds(8) \\\n",
    "- dt*gN_tab*v*ds(9) \n",
    "\n",
    "# create time dependence here?\n",
    "\n",
    "a = lhs(F) # left hand side\n",
    "L = rhs(F) # right hand side\n",
    "A = assemble(a)\n",
    "u = Function(V)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Run the simulation over the previously entered time interval. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "t =  0.01\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jacobturner/anaconda3/lib/python3.7/site-packages/ffc/uflacs/analysis/dependencies.py:61: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  active[targets] = 1\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "t =  0.02\n",
      "t =  0.03\n",
      "t =  0.04\n",
      "t =  0.05\n",
      "t =  0.060000000000000005\n",
      "t =  0.07\n",
      "t =  0.08\n",
      "t =  0.09\n",
      "t =  0.09999999999999999\n",
      "t =  0.10999999999999999\n",
      "t =  0.11999999999999998\n",
      "t =  0.12999999999999998\n",
      "t =  0.13999999999999999\n",
      "t =  0.15\n",
      "t =  0.16\n",
      "t =  0.17\n",
      "t =  0.18000000000000002\n",
      "t =  0.19000000000000003\n",
      "t =  0.20000000000000004\n",
      "t =  0.21000000000000005\n",
      "t =  0.22000000000000006\n",
      "t =  0.23000000000000007\n",
      "t =  0.24000000000000007\n",
      "t =  0.25000000000000006\n",
      "t =  0.26000000000000006\n",
      "t =  0.2700000000000001\n",
      "t =  0.2800000000000001\n",
      "t =  0.2900000000000001\n",
      "t =  0.3000000000000001\n",
      "t =  0.3100000000000001\n",
      "t =  0.3200000000000001\n",
      "t =  0.3300000000000001\n",
      "t =  0.34000000000000014\n",
      "t =  0.35000000000000014\n",
      "t =  0.36000000000000015\n",
      "t =  0.37000000000000016\n",
      "t =  0.38000000000000017\n",
      "t =  0.3900000000000002\n",
      "t =  0.4000000000000002\n",
      "t =  0.4100000000000002\n",
      "t =  0.4200000000000002\n",
      "t =  0.4300000000000002\n",
      "t =  0.4400000000000002\n",
      "t =  0.45000000000000023\n",
      "t =  0.46000000000000024\n",
      "t =  0.47000000000000025\n",
      "t =  0.48000000000000026\n",
      "t =  0.49000000000000027\n",
      "t =  0.5000000000000002\n",
      "t =  0.5100000000000002\n",
      "t =  0.5200000000000002\n",
      "t =  0.5300000000000002\n",
      "t =  0.5400000000000003\n",
      "t =  0.5500000000000003\n",
      "t =  0.5600000000000003\n",
      "t =  0.5700000000000003\n",
      "t =  0.5800000000000003\n",
      "t =  0.5900000000000003\n",
      "t =  0.6000000000000003\n",
      "t =  0.6100000000000003\n",
      "t =  0.6200000000000003\n",
      "t =  0.6300000000000003\n",
      "t =  0.6400000000000003\n",
      "t =  0.6500000000000004\n",
      "t =  0.6600000000000004\n",
      "t =  0.6700000000000004\n",
      "t =  0.6800000000000004\n",
      "t =  0.6900000000000004\n",
      "t =  0.7000000000000004\n",
      "t =  0.7100000000000004\n",
      "t =  0.7200000000000004\n",
      "t =  0.7300000000000004\n",
      "t =  0.7400000000000004\n",
      "t =  0.7500000000000004\n",
      "t =  0.7600000000000005\n",
      "t =  0.7700000000000005\n",
      "t =  0.7800000000000005\n",
      "t =  0.7900000000000005\n",
      "t =  0.8000000000000005\n",
      "t =  0.8100000000000005\n",
      "t =  0.8200000000000005\n",
      "t =  0.8300000000000005\n",
      "t =  0.8400000000000005\n",
      "t =  0.8500000000000005\n",
      "t =  0.8600000000000005\n",
      "t =  0.8700000000000006\n",
      "t =  0.8800000000000006\n",
      "t =  0.8900000000000006\n",
      "t =  0.9000000000000006\n",
      "t =  0.9100000000000006\n",
      "t =  0.9200000000000006\n",
      "t =  0.9300000000000006\n",
      "t =  0.9400000000000006\n",
      "t =  0.9500000000000006\n",
      "t =  0.9600000000000006\n",
      "t =  0.9700000000000006\n",
      "t =  0.9800000000000006\n",
      "t =  0.9900000000000007\n",
      "t =  1.0000000000000007\n",
      "t =  1.0100000000000007\n",
      "t =  1.0200000000000007\n",
      "t =  1.0300000000000007\n",
      "t =  1.0400000000000007\n",
      "t =  1.0500000000000007\n",
      "t =  1.0600000000000007\n",
      "t =  1.0700000000000007\n",
      "t =  1.0800000000000007\n",
      "t =  1.0900000000000007\n",
      "t =  1.1000000000000008\n",
      "t =  1.1100000000000008\n",
      "t =  1.1200000000000008\n",
      "t =  1.1300000000000008\n",
      "t =  1.1400000000000008\n",
      "t =  1.1500000000000008\n",
      "t =  1.1600000000000008\n",
      "t =  1.1700000000000008\n",
      "t =  1.1800000000000008\n",
      "t =  1.1900000000000008\n",
      "t =  1.2000000000000008\n",
      "t =  1.2100000000000009\n",
      "t =  1.2200000000000009\n",
      "t =  1.2300000000000009\n",
      "t =  1.2400000000000009\n",
      "t =  1.2500000000000009\n",
      "t =  1.260000000000001\n",
      "t =  1.270000000000001\n",
      "t =  1.280000000000001\n",
      "t =  1.290000000000001\n",
      "t =  1.300000000000001\n",
      "t =  1.310000000000001\n",
      "t =  1.320000000000001\n",
      "t =  1.330000000000001\n",
      "t =  1.340000000000001\n",
      "t =  1.350000000000001\n",
      "t =  1.360000000000001\n",
      "t =  1.370000000000001\n",
      "t =  1.380000000000001\n",
      "t =  1.390000000000001\n",
      "t =  1.400000000000001\n",
      "t =  1.410000000000001\n",
      "t =  1.420000000000001\n",
      "t =  1.430000000000001\n",
      "t =  1.440000000000001\n",
      "t =  1.450000000000001\n",
      "t =  1.460000000000001\n",
      "t =  1.470000000000001\n",
      "t =  1.480000000000001\n",
      "t =  1.490000000000001\n",
      "t =  1.500000000000001\n",
      "t =  1.5100000000000011\n",
      "t =  1.5200000000000011\n",
      "t =  1.5300000000000011\n",
      "t =  1.5400000000000011\n",
      "t =  1.5500000000000012\n",
      "t =  1.5600000000000012\n",
      "t =  1.5700000000000012\n",
      "t =  1.5800000000000012\n",
      "t =  1.5900000000000012\n",
      "t =  1.6000000000000012\n",
      "t =  1.6100000000000012\n",
      "t =  1.6200000000000012\n",
      "t =  1.6300000000000012\n",
      "t =  1.6400000000000012\n",
      "t =  1.6500000000000012\n",
      "t =  1.6600000000000013\n",
      "t =  1.6700000000000013\n",
      "t =  1.6800000000000013\n",
      "t =  1.6900000000000013\n",
      "t =  1.7000000000000013\n",
      "t =  1.7100000000000013\n",
      "t =  1.7200000000000013\n",
      "t =  1.7300000000000013\n",
      "t =  1.7400000000000013\n",
      "t =  1.7500000000000013\n",
      "t =  1.7600000000000013\n",
      "t =  1.7700000000000014\n",
      "t =  1.7800000000000014\n",
      "t =  1.7900000000000014\n",
      "t =  1.8000000000000014\n",
      "t =  1.8100000000000014\n",
      "t =  1.8200000000000014\n",
      "t =  1.8300000000000014\n",
      "t =  1.8400000000000014\n",
      "t =  1.8500000000000014\n",
      "t =  1.8600000000000014\n",
      "t =  1.8700000000000014\n",
      "t =  1.8800000000000014\n",
      "t =  1.8900000000000015\n",
      "t =  1.9000000000000015\n",
      "t =  1.9100000000000015\n",
      "t =  1.9200000000000015\n",
      "t =  1.9300000000000015\n",
      "t =  1.9400000000000015\n",
      "t =  1.9500000000000015\n",
      "t =  1.9600000000000015\n",
      "t =  1.9700000000000015\n",
      "t =  1.9800000000000015\n",
      "t =  1.9900000000000015\n",
      "t =  2.0000000000000013\n",
      "t =  2.010000000000001\n",
      "t =  2.020000000000001\n",
      "t =  2.0300000000000007\n",
      "t =  2.0400000000000005\n",
      "t =  2.0500000000000003\n",
      "t =  2.06\n",
      "t =  2.07\n",
      "t =  2.0799999999999996\n",
      "t =  2.0899999999999994\n",
      "t =  2.099999999999999\n",
      "t =  2.109999999999999\n",
      "t =  2.1199999999999988\n",
      "t =  2.1299999999999986\n",
      "t =  2.1399999999999983\n",
      "t =  2.149999999999998\n",
      "t =  2.159999999999998\n",
      "t =  2.1699999999999977\n",
      "t =  2.1799999999999975\n",
      "t =  2.1899999999999973\n",
      "t =  2.199999999999997\n",
      "t =  2.209999999999997\n",
      "t =  2.2199999999999966\n",
      "t =  2.2299999999999964\n",
      "t =  2.239999999999996\n",
      "t =  2.249999999999996\n",
      "t =  2.259999999999996\n",
      "t =  2.2699999999999956\n",
      "t =  2.2799999999999954\n",
      "t =  2.289999999999995\n",
      "t =  2.299999999999995\n",
      "t =  2.3099999999999947\n",
      "t =  2.3199999999999945\n",
      "t =  2.3299999999999943\n",
      "t =  2.339999999999994\n",
      "t =  2.349999999999994\n",
      "t =  2.3599999999999937\n",
      "t =  2.3699999999999934\n",
      "t =  2.3799999999999932\n",
      "t =  2.389999999999993\n",
      "t =  2.399999999999993\n",
      "t =  2.4099999999999926\n",
      "t =  2.4199999999999924\n",
      "t =  2.429999999999992\n",
      "t =  2.439999999999992\n",
      "t =  2.4499999999999917\n",
      "t =  2.4599999999999915\n",
      "t =  2.4699999999999913\n",
      "t =  2.479999999999991\n",
      "t =  2.489999999999991\n",
      "t =  2.4999999999999907\n",
      "t =  2.5099999999999905\n",
      "t =  2.5199999999999902\n",
      "t =  2.52999999999999\n",
      "t =  2.53999999999999\n",
      "t =  2.5499999999999896\n",
      "t =  2.5599999999999894\n",
      "t =  2.569999999999989\n",
      "t =  2.579999999999989\n",
      "t =  2.5899999999999888\n",
      "t =  2.5999999999999885\n",
      "t =  2.6099999999999883\n",
      "t =  2.619999999999988\n",
      "t =  2.629999999999988\n",
      "t =  2.6399999999999877\n",
      "t =  2.6499999999999875\n",
      "t =  2.6599999999999873\n",
      "t =  2.669999999999987\n",
      "t =  2.679999999999987\n",
      "t =  2.6899999999999866\n",
      "t =  2.6999999999999864\n",
      "t =  2.709999999999986\n",
      "t =  2.719999999999986\n",
      "t =  2.7299999999999858\n",
      "t =  2.7399999999999856\n",
      "t =  2.7499999999999853\n",
      "t =  2.759999999999985\n",
      "t =  2.769999999999985\n",
      "t =  2.7799999999999847\n",
      "t =  2.7899999999999845\n",
      "t =  2.7999999999999843\n",
      "t =  2.809999999999984\n",
      "t =  2.819999999999984\n",
      "t =  2.8299999999999836\n",
      "t =  2.8399999999999834\n",
      "t =  2.849999999999983\n",
      "t =  2.859999999999983\n",
      "t =  2.869999999999983\n",
      "t =  2.8799999999999826\n",
      "t =  2.8899999999999824\n",
      "t =  2.899999999999982\n",
      "t =  2.909999999999982\n",
      "t =  2.9199999999999817\n",
      "t =  2.9299999999999815\n",
      "t =  2.9399999999999813\n",
      "t =  2.949999999999981\n",
      "t =  2.959999999999981\n",
      "t =  2.9699999999999807\n",
      "t =  2.9799999999999804\n",
      "t =  2.9899999999999802\n",
      "t =  2.99999999999998\n",
      "t =  3.00999999999998\n",
      "t =  3.0199999999999796\n",
      "t =  3.0299999999999794\n",
      "t =  3.039999999999979\n",
      "t =  3.049999999999979\n",
      "t =  3.0599999999999787\n",
      "t =  3.0699999999999785\n",
      "t =  3.0799999999999783\n",
      "t =  3.089999999999978\n",
      "t =  3.099999999999978\n",
      "t =  3.1099999999999777\n",
      "t =  3.1199999999999775\n",
      "t =  3.1299999999999772\n",
      "t =  3.139999999999977\n",
      "t =  3.149999999999977\n",
      "t =  3.1599999999999766\n",
      "t =  3.1699999999999764\n",
      "t =  3.179999999999976\n",
      "t =  3.189999999999976\n",
      "t =  3.1999999999999758\n",
      "t =  3.2099999999999755\n",
      "t =  3.2199999999999753\n",
      "t =  3.229999999999975\n",
      "t =  3.239999999999975\n",
      "t =  3.2499999999999747\n",
      "t =  3.2599999999999745\n",
      "t =  3.2699999999999743\n",
      "t =  3.279999999999974\n",
      "t =  3.289999999999974\n",
      "t =  3.2999999999999736\n",
      "t =  3.3099999999999734\n",
      "t =  3.319999999999973\n",
      "t =  3.329999999999973\n",
      "t =  3.3399999999999728\n",
      "t =  3.3499999999999726\n",
      "t =  3.3599999999999723\n",
      "t =  3.369999999999972\n",
      "t =  3.379999999999972\n",
      "t =  3.3899999999999717\n",
      "t =  3.3999999999999715\n",
      "t =  3.4099999999999713\n",
      "t =  3.419999999999971\n",
      "t =  3.429999999999971\n",
      "t =  3.4399999999999706\n",
      "t =  3.4499999999999704\n",
      "t =  3.45999999999997\n",
      "t =  3.46999999999997\n",
      "t =  3.47999999999997\n",
      "t =  3.4899999999999696\n",
      "t =  3.4999999999999694\n",
      "t =  3.509999999999969\n",
      "t =  3.519999999999969\n",
      "t =  3.5299999999999687\n",
      "t =  3.5399999999999685\n",
      "t =  3.5499999999999683\n",
      "t =  3.559999999999968\n",
      "t =  3.569999999999968\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "t =  3.5799999999999677\n",
      "t =  3.5899999999999674\n",
      "t =  3.5999999999999672\n",
      "t =  3.609999999999967\n",
      "t =  3.619999999999967\n",
      "t =  3.6299999999999666\n",
      "t =  3.6399999999999664\n",
      "t =  3.649999999999966\n",
      "t =  3.659999999999966\n",
      "t =  3.6699999999999657\n",
      "t =  3.6799999999999655\n",
      "t =  3.6899999999999653\n",
      "t =  3.699999999999965\n",
      "t =  3.709999999999965\n",
      "t =  3.7199999999999647\n",
      "t =  3.7299999999999645\n",
      "t =  3.7399999999999642\n",
      "t =  3.749999999999964\n",
      "t =  3.759999999999964\n",
      "t =  3.7699999999999636\n",
      "t =  3.7799999999999634\n",
      "t =  3.789999999999963\n",
      "t =  3.799999999999963\n",
      "t =  3.8099999999999627\n",
      "t =  3.8199999999999625\n",
      "t =  3.8299999999999623\n",
      "t =  3.839999999999962\n",
      "t =  3.849999999999962\n",
      "t =  3.8599999999999617\n",
      "t =  3.8699999999999615\n",
      "t =  3.8799999999999613\n",
      "t =  3.889999999999961\n",
      "t =  3.899999999999961\n",
      "t =  3.9099999999999606\n",
      "t =  3.9199999999999604\n",
      "t =  3.92999999999996\n",
      "t =  3.93999999999996\n",
      "t =  3.9499999999999598\n",
      "t =  3.9599999999999596\n",
      "t =  3.9699999999999593\n",
      "t =  3.979999999999959\n",
      "t =  3.989999999999959\n",
      "t =  3.9999999999999587\n",
      "t =  4.009999999999959\n",
      "t =  4.019999999999959\n",
      "t =  4.0299999999999585\n",
      "t =  4.039999999999958\n",
      "t =  4.049999999999958\n",
      "t =  4.059999999999958\n",
      "t =  4.069999999999958\n",
      "t =  4.079999999999957\n",
      "t =  4.089999999999957\n",
      "t =  4.099999999999957\n",
      "t =  4.109999999999957\n",
      "t =  4.119999999999957\n",
      "t =  4.129999999999956\n",
      "t =  4.139999999999956\n",
      "t =  4.149999999999956\n",
      "t =  4.159999999999956\n",
      "t =  4.1699999999999555\n",
      "t =  4.179999999999955\n",
      "t =  4.189999999999955\n",
      "t =  4.199999999999955\n",
      "t =  4.209999999999955\n",
      "t =  4.2199999999999545\n",
      "t =  4.229999999999954\n",
      "t =  4.239999999999954\n",
      "t =  4.249999999999954\n",
      "t =  4.259999999999954\n",
      "t =  4.269999999999953\n",
      "t =  4.279999999999953\n",
      "t =  4.289999999999953\n",
      "t =  4.299999999999953\n",
      "t =  4.3099999999999525\n",
      "t =  4.319999999999952\n",
      "t =  4.329999999999952\n",
      "t =  4.339999999999952\n",
      "t =  4.349999999999952\n",
      "t =  4.3599999999999515\n",
      "t =  4.369999999999951\n",
      "t =  4.379999999999951\n",
      "t =  4.389999999999951\n",
      "t =  4.399999999999951\n",
      "t =  4.40999999999995\n",
      "t =  4.41999999999995\n",
      "t =  4.42999999999995\n",
      "t =  4.43999999999995\n",
      "t =  4.4499999999999496\n",
      "t =  4.459999999999949\n",
      "t =  4.469999999999949\n",
      "t =  4.479999999999949\n",
      "t =  4.489999999999949\n",
      "t =  4.4999999999999485\n",
      "t =  4.509999999999948\n",
      "t =  4.519999999999948\n",
      "t =  4.529999999999948\n",
      "t =  4.539999999999948\n",
      "t =  4.549999999999947\n",
      "t =  4.559999999999947\n",
      "t =  4.569999999999947\n",
      "t =  4.579999999999947\n",
      "t =  4.589999999999947\n",
      "t =  4.599999999999946\n",
      "t =  4.609999999999946\n",
      "t =  4.619999999999946\n",
      "t =  4.629999999999946\n",
      "t =  4.6399999999999455\n",
      "t =  4.649999999999945\n",
      "t =  4.659999999999945\n",
      "t =  4.669999999999945\n",
      "t =  4.679999999999945\n",
      "t =  4.689999999999944\n",
      "t =  4.699999999999944\n",
      "t =  4.709999999999944\n",
      "t =  4.719999999999944\n",
      "t =  4.729999999999944\n",
      "t =  4.739999999999943\n",
      "t =  4.749999999999943\n",
      "t =  4.759999999999943\n",
      "t =  4.769999999999943\n",
      "t =  4.7799999999999425\n",
      "t =  4.789999999999942\n",
      "t =  4.799999999999942\n",
      "t =  4.809999999999942\n",
      "t =  4.819999999999942\n",
      "t =  4.8299999999999415\n",
      "t =  4.839999999999941\n",
      "t =  4.849999999999941\n",
      "t =  4.859999999999941\n",
      "t =  4.869999999999941\n",
      "t =  4.87999999999994\n",
      "t =  4.88999999999994\n",
      "t =  4.89999999999994\n",
      "t =  4.90999999999994\n",
      "t =  4.9199999999999395\n",
      "t =  4.929999999999939\n",
      "t =  4.939999999999939\n",
      "t =  4.949999999999939\n",
      "t =  4.959999999999939\n",
      "t =  4.9699999999999385\n",
      "t =  4.979999999999938\n",
      "t =  4.989999999999938\n",
      "t =  4.999999999999938\n",
      "t =  5.009999999999938\n",
      "t =  5.019999999999937\n",
      "t =  5.029999999999937\n",
      "t =  5.039999999999937\n",
      "t =  5.049999999999937\n",
      "t =  5.0599999999999365\n",
      "t =  5.069999999999936\n",
      "t =  5.079999999999936\n",
      "t =  5.089999999999936\n",
      "t =  5.099999999999936\n",
      "t =  5.1099999999999355\n",
      "t =  5.119999999999935\n",
      "t =  5.129999999999935\n",
      "t =  5.139999999999935\n",
      "t =  5.149999999999935\n",
      "t =  5.159999999999934\n",
      "t =  5.169999999999934\n",
      "t =  5.179999999999934\n",
      "t =  5.189999999999934\n",
      "t =  5.199999999999934\n",
      "t =  5.209999999999933\n",
      "t =  5.219999999999933\n",
      "t =  5.229999999999933\n",
      "t =  5.239999999999933\n",
      "t =  5.2499999999999325\n",
      "t =  5.259999999999932\n",
      "t =  5.269999999999932\n",
      "t =  5.279999999999932\n",
      "t =  5.289999999999932\n",
      "t =  5.299999999999931\n",
      "t =  5.309999999999931\n",
      "t =  5.319999999999931\n",
      "t =  5.329999999999931\n",
      "t =  5.339999999999931\n",
      "t =  5.34999999999993\n",
      "t =  5.35999999999993\n",
      "t =  5.36999999999993\n",
      "t =  5.37999999999993\n",
      "t =  5.3899999999999295\n",
      "t =  5.399999999999929\n",
      "t =  5.409999999999929\n",
      "t =  5.419999999999929\n",
      "t =  5.429999999999929\n",
      "t =  5.4399999999999284\n",
      "t =  5.449999999999928\n",
      "t =  5.459999999999928\n",
      "t =  5.469999999999928\n",
      "t =  5.479999999999928\n",
      "t =  5.489999999999927\n",
      "t =  5.499999999999927\n",
      "t =  5.509999999999927\n",
      "t =  5.519999999999927\n",
      "t =  5.5299999999999265\n",
      "t =  5.539999999999926\n",
      "t =  5.549999999999926\n",
      "t =  5.559999999999926\n",
      "t =  5.569999999999926\n",
      "t =  5.5799999999999255\n",
      "t =  5.589999999999925\n",
      "t =  5.599999999999925\n",
      "t =  5.609999999999925\n",
      "t =  5.619999999999925\n",
      "t =  5.629999999999924\n",
      "t =  5.639999999999924\n",
      "t =  5.649999999999924\n",
      "t =  5.659999999999924\n",
      "t =  5.6699999999999235\n",
      "t =  5.679999999999923\n",
      "t =  5.689999999999923\n",
      "t =  5.699999999999923\n",
      "t =  5.709999999999923\n",
      "t =  5.7199999999999225\n",
      "t =  5.729999999999922\n",
      "t =  5.739999999999922\n",
      "t =  5.749999999999922\n",
      "t =  5.759999999999922\n",
      "t =  5.769999999999921\n",
      "t =  5.779999999999921\n",
      "t =  5.789999999999921\n",
      "t =  5.799999999999921\n",
      "t =  5.809999999999921\n",
      "t =  5.81999999999992\n",
      "t =  5.82999999999992\n",
      "t =  5.83999999999992\n",
      "t =  5.84999999999992\n",
      "t =  5.8599999999999195\n",
      "t =  5.869999999999919\n",
      "t =  5.879999999999919\n",
      "t =  5.889999999999919\n",
      "t =  5.899999999999919\n",
      "t =  5.909999999999918\n",
      "t =  5.919999999999918\n",
      "t =  5.929999999999918\n",
      "t =  5.939999999999918\n",
      "t =  5.949999999999918\n",
      "t =  5.959999999999917\n",
      "t =  5.969999999999917\n",
      "t =  5.979999999999917\n",
      "t =  5.989999999999917\n",
      "t =  5.9999999999999165\n",
      "t =  6.009999999999916\n",
      "t =  6.019999999999916\n",
      "t =  6.029999999999916\n",
      "t =  6.039999999999916\n",
      "t =  6.0499999999999154\n",
      "t =  6.059999999999915\n",
      "t =  6.069999999999915\n",
      "t =  6.079999999999915\n",
      "t =  6.089999999999915\n",
      "t =  6.099999999999914\n",
      "t =  6.109999999999914\n",
      "t =  6.119999999999914\n",
      "t =  6.129999999999914\n",
      "t =  6.1399999999999135\n",
      "t =  6.149999999999913\n",
      "t =  6.159999999999913\n",
      "t =  6.169999999999913\n",
      "t =  6.179999999999913\n",
      "t =  6.1899999999999125\n",
      "t =  6.199999999999912\n",
      "t =  6.209999999999912\n",
      "t =  6.219999999999912\n",
      "t =  6.229999999999912\n",
      "t =  6.239999999999911\n",
      "t =  6.249999999999911\n",
      "t =  6.259999999999911\n",
      "t =  6.269999999999911\n",
      "t =  6.2799999999999105\n",
      "t =  6.28999999999991\n",
      "t =  6.29999999999991\n",
      "t =  6.30999999999991\n",
      "t =  6.31999999999991\n",
      "t =  6.3299999999999095\n",
      "t =  6.339999999999909\n",
      "t =  6.349999999999909\n",
      "t =  6.359999999999909\n",
      "t =  6.369999999999909\n",
      "t =  6.379999999999908\n",
      "t =  6.389999999999908\n",
      "t =  6.399999999999908\n",
      "t =  6.409999999999908\n",
      "t =  6.419999999999908\n",
      "t =  6.429999999999907\n",
      "t =  6.439999999999907\n",
      "t =  6.449999999999907\n",
      "t =  6.459999999999907\n",
      "t =  6.4699999999999065\n",
      "t =  6.479999999999906\n",
      "t =  6.489999999999906\n",
      "t =  6.499999999999906\n",
      "t =  6.509999999999906\n",
      "t =  6.519999999999905\n",
      "t =  6.529999999999905\n",
      "t =  6.539999999999905\n",
      "t =  6.549999999999905\n",
      "t =  6.559999999999905\n",
      "t =  6.569999999999904\n",
      "t =  6.579999999999904\n",
      "t =  6.589999999999904\n",
      "t =  6.599999999999904\n",
      "t =  6.6099999999999035\n",
      "t =  6.619999999999903\n",
      "t =  6.629999999999903\n",
      "t =  6.639999999999903\n",
      "t =  6.649999999999903\n",
      "t =  6.659999999999902\n",
      "t =  6.669999999999902\n",
      "t =  6.679999999999902\n",
      "t =  6.689999999999902\n",
      "t =  6.699999999999902\n",
      "t =  6.709999999999901\n",
      "t =  6.719999999999901\n",
      "t =  6.729999999999901\n",
      "t =  6.739999999999901\n",
      "t =  6.7499999999999005\n",
      "t =  6.7599999999999\n",
      "t =  6.7699999999999\n",
      "t =  6.7799999999999\n",
      "t =  6.7899999999999\n",
      "t =  6.7999999999998995\n",
      "t =  6.809999999999899\n",
      "t =  6.819999999999899\n",
      "t =  6.829999999999899\n",
      "t =  6.839999999999899\n",
      "t =  6.849999999999898\n",
      "t =  6.859999999999898\n",
      "t =  6.869999999999898\n",
      "t =  6.879999999999898\n",
      "t =  6.8899999999998975\n",
      "t =  6.899999999999897\n",
      "t =  6.909999999999897\n",
      "t =  6.919999999999897\n",
      "t =  6.929999999999897\n",
      "t =  6.9399999999998965\n",
      "t =  6.949999999999896\n",
      "t =  6.959999999999896\n",
      "t =  6.969999999999896\n",
      "t =  6.979999999999896\n",
      "t =  6.989999999999895\n",
      "t =  6.999999999999895\n",
      "t =  7.009999999999895\n",
      "t =  7.019999999999895\n",
      "t =  7.0299999999998946\n",
      "t =  7.039999999999894\n",
      "t =  7.049999999999894\n",
      "t =  7.059999999999894\n",
      "t =  7.069999999999894\n",
      "t =  7.0799999999998935\n",
      "t =  7.089999999999893\n",
      "t =  7.099999999999893\n",
      "t =  7.109999999999893\n",
      "t =  7.119999999999893\n",
      "t =  7.129999999999892\n",
      "t =  7.139999999999892\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "t =  7.149999999999892\n",
      "t =  7.159999999999892\n",
      "t =  7.169999999999892\n",
      "t =  7.179999999999891\n",
      "t =  7.189999999999891\n",
      "t =  7.199999999999891\n",
      "t =  7.209999999999891\n",
      "t =  7.2199999999998905\n",
      "t =  7.22999999999989\n",
      "t =  7.23999999999989\n",
      "t =  7.24999999999989\n",
      "t =  7.25999999999989\n",
      "t =  7.269999999999889\n",
      "t =  7.279999999999889\n",
      "t =  7.289999999999889\n",
      "t =  7.299999999999889\n",
      "t =  7.309999999999889\n",
      "t =  7.319999999999888\n",
      "t =  7.329999999999888\n",
      "t =  7.339999999999888\n",
      "t =  7.349999999999888\n",
      "t =  7.3599999999998875\n",
      "t =  7.369999999999887\n",
      "t =  7.379999999999887\n",
      "t =  7.389999999999887\n",
      "t =  7.399999999999887\n",
      "t =  7.4099999999998865\n",
      "t =  7.419999999999886\n",
      "t =  7.429999999999886\n",
      "t =  7.439999999999886\n",
      "t =  7.449999999999886\n",
      "t =  7.459999999999885\n",
      "t =  7.469999999999885\n",
      "t =  7.479999999999885\n",
      "t =  7.489999999999885\n",
      "t =  7.4999999999998845\n",
      "t =  7.509999999999884\n",
      "t =  7.519999999999884\n",
      "t =  7.529999999999884\n",
      "t =  7.539999999999884\n",
      "t =  7.5499999999998835\n",
      "t =  7.559999999999883\n",
      "t =  7.569999999999883\n",
      "t =  7.579999999999883\n",
      "t =  7.589999999999883\n",
      "t =  7.599999999999882\n",
      "t =  7.609999999999882\n",
      "t =  7.619999999999882\n",
      "t =  7.629999999999882\n",
      "t =  7.6399999999998816\n",
      "t =  7.649999999999881\n",
      "t =  7.659999999999881\n",
      "t =  7.669999999999881\n",
      "t =  7.679999999999881\n",
      "t =  7.6899999999998805\n",
      "t =  7.69999999999988\n",
      "t =  7.70999999999988\n",
      "t =  7.71999999999988\n",
      "t =  7.72999999999988\n",
      "t =  7.739999999999879\n",
      "t =  7.749999999999879\n",
      "t =  7.759999999999879\n",
      "t =  7.769999999999879\n",
      "t =  7.779999999999879\n",
      "t =  7.789999999999878\n",
      "t =  7.799999999999878\n",
      "t =  7.809999999999878\n",
      "t =  7.819999999999878\n",
      "t =  7.8299999999998775\n",
      "t =  7.839999999999877\n",
      "t =  7.849999999999877\n",
      "t =  7.859999999999877\n",
      "t =  7.869999999999877\n",
      "t =  7.879999999999876\n",
      "t =  7.889999999999876\n",
      "t =  7.899999999999876\n",
      "t =  7.909999999999876\n",
      "t =  7.919999999999876\n",
      "t =  7.929999999999875\n",
      "t =  7.939999999999875\n",
      "t =  7.949999999999875\n",
      "t =  7.959999999999875\n",
      "t =  7.9699999999998745\n",
      "t =  7.979999999999874\n",
      "t =  7.989999999999874\n",
      "t =  7.999999999999874\n",
      "t =  8.009999999999874\n",
      "t =  8.019999999999873\n",
      "t =  8.029999999999873\n",
      "t =  8.039999999999873\n",
      "t =  8.049999999999873\n",
      "t =  8.059999999999873\n",
      "t =  8.069999999999872\n",
      "t =  8.079999999999872\n",
      "t =  8.089999999999872\n",
      "t =  8.099999999999872\n",
      "t =  8.109999999999872\n",
      "t =  8.119999999999871\n",
      "t =  8.129999999999871\n",
      "t =  8.139999999999871\n",
      "t =  8.14999999999987\n",
      "t =  8.15999999999987\n",
      "t =  8.16999999999987\n",
      "t =  8.17999999999987\n",
      "t =  8.18999999999987\n",
      "t =  8.19999999999987\n",
      "t =  8.20999999999987\n",
      "t =  8.21999999999987\n",
      "t =  8.229999999999869\n",
      "t =  8.239999999999869\n",
      "t =  8.249999999999869\n",
      "t =  8.259999999999868\n",
      "t =  8.269999999999868\n",
      "t =  8.279999999999868\n",
      "t =  8.289999999999868\n",
      "t =  8.299999999999867\n",
      "t =  8.309999999999867\n",
      "t =  8.319999999999867\n",
      "t =  8.329999999999867\n",
      "t =  8.339999999999867\n",
      "t =  8.349999999999866\n",
      "t =  8.359999999999866\n",
      "t =  8.369999999999866\n",
      "t =  8.379999999999866\n",
      "t =  8.389999999999866\n",
      "t =  8.399999999999865\n",
      "t =  8.409999999999865\n",
      "t =  8.419999999999865\n",
      "t =  8.429999999999865\n",
      "t =  8.439999999999864\n",
      "t =  8.449999999999864\n",
      "t =  8.459999999999864\n",
      "t =  8.469999999999864\n",
      "t =  8.479999999999864\n",
      "t =  8.489999999999863\n",
      "t =  8.499999999999863\n",
      "t =  8.509999999999863\n",
      "t =  8.519999999999863\n",
      "t =  8.529999999999863\n",
      "t =  8.539999999999862\n",
      "t =  8.549999999999862\n",
      "t =  8.559999999999862\n",
      "t =  8.569999999999862\n",
      "t =  8.579999999999862\n",
      "t =  8.589999999999861\n",
      "t =  8.599999999999861\n",
      "t =  8.60999999999986\n",
      "t =  8.61999999999986\n",
      "t =  8.62999999999986\n",
      "t =  8.63999999999986\n",
      "t =  8.64999999999986\n",
      "t =  8.65999999999986\n",
      "t =  8.66999999999986\n",
      "t =  8.67999999999986\n",
      "t =  8.68999999999986\n",
      "t =  8.699999999999859\n",
      "t =  8.709999999999859\n",
      "t =  8.719999999999859\n",
      "t =  8.729999999999858\n",
      "t =  8.739999999999858\n",
      "t =  8.749999999999858\n",
      "t =  8.759999999999858\n",
      "t =  8.769999999999857\n",
      "t =  8.779999999999857\n",
      "t =  8.789999999999857\n",
      "t =  8.799999999999857\n",
      "t =  8.809999999999857\n",
      "t =  8.819999999999856\n",
      "t =  8.829999999999856\n",
      "t =  8.839999999999856\n",
      "t =  8.849999999999856\n",
      "t =  8.859999999999856\n",
      "t =  8.869999999999855\n",
      "t =  8.879999999999855\n",
      "t =  8.889999999999855\n",
      "t =  8.899999999999855\n",
      "t =  8.909999999999854\n",
      "t =  8.919999999999854\n",
      "t =  8.929999999999854\n",
      "t =  8.939999999999854\n",
      "t =  8.949999999999854\n",
      "t =  8.959999999999853\n",
      "t =  8.969999999999853\n",
      "t =  8.979999999999853\n",
      "t =  8.989999999999853\n",
      "t =  8.999999999999853\n",
      "t =  9.009999999999852\n",
      "t =  9.019999999999852\n",
      "t =  9.029999999999852\n",
      "t =  9.039999999999852\n",
      "t =  9.049999999999851\n",
      "t =  9.059999999999851\n",
      "t =  9.069999999999851\n",
      "t =  9.07999999999985\n",
      "t =  9.08999999999985\n",
      "t =  9.09999999999985\n",
      "t =  9.10999999999985\n",
      "t =  9.11999999999985\n",
      "t =  9.12999999999985\n",
      "t =  9.13999999999985\n",
      "t =  9.14999999999985\n",
      "t =  9.15999999999985\n",
      "t =  9.169999999999849\n",
      "t =  9.179999999999849\n",
      "t =  9.189999999999849\n",
      "t =  9.199999999999848\n",
      "t =  9.209999999999848\n",
      "t =  9.219999999999848\n",
      "t =  9.229999999999848\n",
      "t =  9.239999999999847\n",
      "t =  9.249999999999847\n",
      "t =  9.259999999999847\n",
      "t =  9.269999999999847\n",
      "t =  9.279999999999847\n",
      "t =  9.289999999999846\n",
      "t =  9.299999999999846\n",
      "t =  9.309999999999846\n",
      "t =  9.319999999999846\n",
      "t =  9.329999999999846\n",
      "t =  9.339999999999845\n",
      "t =  9.349999999999845\n",
      "t =  9.359999999999845\n",
      "t =  9.369999999999845\n",
      "t =  9.379999999999844\n",
      "t =  9.389999999999844\n",
      "t =  9.399999999999844\n",
      "t =  9.409999999999844\n",
      "t =  9.419999999999844\n",
      "t =  9.429999999999843\n",
      "t =  9.439999999999843\n",
      "t =  9.449999999999843\n",
      "t =  9.459999999999843\n",
      "t =  9.469999999999843\n",
      "t =  9.479999999999842\n",
      "t =  9.489999999999842\n",
      "t =  9.499999999999842\n",
      "t =  9.509999999999842\n",
      "t =  9.519999999999841\n",
      "t =  9.529999999999841\n",
      "t =  9.539999999999841\n",
      "t =  9.54999999999984\n",
      "t =  9.55999999999984\n",
      "t =  9.56999999999984\n",
      "t =  9.57999999999984\n",
      "t =  9.58999999999984\n",
      "t =  9.59999999999984\n",
      "t =  9.60999999999984\n",
      "t =  9.61999999999984\n",
      "t =  9.62999999999984\n",
      "t =  9.639999999999839\n",
      "t =  9.649999999999839\n",
      "t =  9.659999999999838\n",
      "t =  9.669999999999838\n",
      "t =  9.679999999999838\n",
      "t =  9.689999999999838\n",
      "t =  9.699999999999838\n",
      "t =  9.709999999999837\n",
      "t =  9.719999999999837\n",
      "t =  9.729999999999837\n",
      "t =  9.739999999999837\n",
      "t =  9.749999999999837\n",
      "t =  9.759999999999836\n",
      "t =  9.769999999999836\n",
      "t =  9.779999999999836\n",
      "t =  9.789999999999836\n",
      "t =  9.799999999999836\n",
      "t =  9.809999999999835\n",
      "t =  9.819999999999835\n",
      "t =  9.829999999999835\n",
      "t =  9.839999999999835\n",
      "t =  9.849999999999834\n",
      "t =  9.859999999999834\n",
      "t =  9.869999999999834\n",
      "t =  9.879999999999834\n",
      "t =  9.889999999999834\n",
      "t =  9.899999999999833\n",
      "t =  9.909999999999833\n",
      "t =  9.919999999999833\n",
      "t =  9.929999999999833\n",
      "t =  9.939999999999833\n",
      "t =  9.949999999999832\n",
      "t =  9.959999999999832\n",
      "t =  9.969999999999832\n",
      "t =  9.979999999999832\n",
      "t =  9.989999999999831\n",
      "t =  9.999999999999831\n"
     ]
    }
   ],
   "source": [
    "vtkfile = File('Battery_paraview/final_simulations/final.pvd') # Store results of simulation here\n",
    "t = 0 #initialize time\n",
    "# time travel\n",
    "for n in range(num_steps) :\n",
    "    t += dt\n",
    "    print(\"t = \", t)\n",
    "    \n",
    "    b = assemble(L)\n",
    "    bc_bottom.apply(A,b) # apply bottom dirchlet\n",
    "    bc_top.apply(A,b) # apply top dirchlet\n",
    "    bc_left.apply(A,b) # apply left dirchlet\n",
    "    bc_right.apply(A,b) # apply right dirchlet\n",
    "    solve(A, u.vector(), b)\n",
    "    \n",
    "    n = FacetNormal(mesh)\n",
    "    \n",
    "    # compute the power transfer through each boundary\n",
    "    flux = inner(grad(u0), n)*ds(4) #flux through bottom \n",
    "    power_bottom = assemble(flux) #integrate flux to get power\n",
    "    \n",
    "    flux = inner(grad(u0), n)*ds(2) #flux through top boundary\n",
    "    power_top = assemble(flux) #integrate flux to get power\n",
    "    \n",
    "    flux = inner(grad(u0), n)*ds(3) #flux through right boundary\n",
    "    power_right = assemble(flux) #integrate flux to get power\n",
    "    \n",
    "    flux = inner(grad(u0), n)*ds(1) #flux through left boundary\n",
    "    power_left = assemble(flux) #integrate flux to get power\n",
    "    \n",
    "    flux = inner(grad(u0), n)*ds(9) #flux through left boundary\n",
    "    power_tabs = assemble(flux) #integrate flux to get power\n",
    "    \n",
    "    # update\n",
    "    up.assign(u)\n",
    "    vtkfile << (u,t) # save"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "plot(u)\n",
    "plt.savefig(fname = \"batt_temp_u.jpg\", dpi = 500)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/pdf": 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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "#plot(mesh)\n",
    "plot(-grad(u))\n",
    "plt.savefig(fname = \"gradient_u.jpg\", dpi = 500)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Print heat transfer results through each of the relevent boundaries."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The energy transfer through the bottom boundary is -98.05281505597266 Joules\n",
      "The energy transfer through the top boundary is -1.8135158673939622 Joules\n",
      "The energy transfer through the right boundary is -209.28846665890393 Joules\n",
      "The energy transfer through the left boundary is -208.4925993436447 Joules\n",
      "The energy transfer through the tabs is -22.94023161360867 Joules\n"
     ]
    }
   ],
   "source": [
    "print(\"The energy transfer through the bottom boundary is {}\".format(power_bottom), \"Joules\")\n",
    "print(\"The energy transfer through the top boundary is {}\".format(power_top), \"Joules\")\n",
    "print(\"The energy transfer through he right boundary is {}\".format(power_right), \"Joules\")\n",
    "print(\"The energy transfer through the left boundary is {}\".format(power_left), \"Joules\")\n",
    "print(\"The energy transfer through the tabs is {}\".format(power_tabs), \"Joules\")"
   ]
  }
 ],
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