{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 2D FEM Using Firedrake\n", "\n", "Copyright (C) 2020 Andreas Kloeckner\n", "\n", "
\n", "MIT License\n", "Permission is hereby granted, free of charge, to any person obtaining a copy\n", "of this software and associated documentation files (the \"Software\"), to deal\n", "in the Software without restriction, including without limitation the rights\n", "to use, copy, modify, merge, publish, distribute, sublicense, and/or sell\n", "copies of the Software, and to permit persons to whom the Software is\n", "furnished to do so, subject to the following conditions:\n", "\n", "The above copyright notice and this permission notice shall be included in\n", "all copies or substantial portions of the Software.\n", "\n", "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n", "IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n", "FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\n", "AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n", "LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\n", "OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN\n", "THE SOFTWARE.\n", "
" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [], "source": [ "from firedrake import *\n", "import numpy as np\n", "import numpy.linalg as la\n", "import firedrake.mesh as fd_mesh\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mesh the Domain\n", "\n", "This uses [meshpy](https://documen.tician.de/meshpy/), which under the hood uses [Triangle](https://www.cs.cmu.edu/~quake/triangle.html).\n", "\n", "`pip install meshpy` to install.\n", "\n", "NB: Triangle is *not* open-source software. If you are looking for a quality mesher that is open-source (but a bit more complex to use), look at [Gmsh](http://gmsh.info/)." ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import meshpy.triangle as triangle\n", "\n", "def round_trip_connect(start, end):\n", " return [(i, i+1) for i in range(start, end)] + [(end, start)]\n", "\n", "def make_mesh():\n", " points = [(-1, -1), (1, -1), (1, 1), (-1, 1)]\n", " facets = round_trip_connect(0, len(points)-1)\n", " facet_markers = [1, 2, 3, 4]\n", "\n", " circ_start = len(points)\n", " nsegments = 30\n", " points.extend(\n", " (0.25 * np.cos(angle), 0.25 * np.sin(angle))\n", " for angle in np.linspace(0, 2*np.pi, nsegments, endpoint=False))\n", "\n", " facets.extend(round_trip_connect(circ_start, len(points)-1))\n", " facet_markers.extend([-1] * nsegments)\n", "\n", " def needs_refinement(vertices, area):\n", " bary = np.sum(np.array(vertices), axis=0)/3\n", " max_area = 0.01 + la.norm(bary, np.inf)*0.01\n", " return bool(area > max_area)\n", "\n", " info = triangle.MeshInfo()\n", " info.set_points(points)\n", " info.set_facets(facets, facet_markers=facet_markers)\n", "\n", " built_mesh = triangle.build(info, refinement_func=needs_refinement)\n", " plex = fd_mesh._from_cell_list(\n", " 2, np.array(built_mesh.elements), np.array(built_mesh.points), COMM_WORLD)\n", "\n", " import firedrake.cython.dmplex as dmplex\n", "\n", " v_start, v_end = plex.getDepthStratum(0) # vertices\n", " for facet, fmarker in zip(built_mesh.facets, built_mesh.facet_markers):\n", " vertices = [fvert + v_start for fvert in facet]\n", " if fmarker > 0: # interior facets are negative above\n", " join = plex.getJoin(vertices)\n", " plex.setLabelValue(dmplex.FACE_SETS_LABEL, join[0], fmarker)\n", "\n", " return Mesh(plex)\n", " \n", "mesh = make_mesh()\n", "\n", "triplot(mesh)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Function Space" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [], "source": [ "V = FunctionSpace(mesh, 'Lagrange', 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## RHS and Coefficient" ] }, { "cell_type": "code", "execution_count": 85, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "x = SpatialCoordinate(mesh)\n", "f = conditional(le(sqrt(x[0]**2 + x[1]**2), 0.25), 25.0, 0.0)\n", "kappa = conditional(le(sqrt(x[0]**2 + x[1]**2), 0.25), 25.0, 0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Boundary Conditions" ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [], "source": [ "g = interpolate(20.0 * (1-x[0]*x[0]), V)\n", "bcg = DirichletBC(V, g, [1])\n", "bcz = DirichletBC(V, 0.0, [2,3,4])\n", "bc = [bcg, bcz]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Symbolic *Trial* and *Test* Functions" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Argument(WithGeometry(FunctionSpace(, FiniteElement('Lagrange', triangle, 1), name=None), Mesh(VectorElement(FiniteElement('Lagrange', triangle, 1), dim=2), 27)), 0, None)" ] }, "execution_count": 94, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#clear\n", "u = TrialFunction(V)\n", "v = TestFunction(V)\n", "\n", "v" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Weak form\n", "\n", "Pieces:\n", "\n", "- `inner`\n", "- `grad`\n", "- `dx`" ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [], "source": [ "#clear\n", "a = kappa*inner(grad(u), grad(v))*dx\n", "L = f*v*dx" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solve and Plot" ] }, { "cell_type": "code", "execution_count": 96, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "U = Function(V)\n", "solve(a == L, U, bc)" ] }, { "cell_type": "code", "execution_count": 97, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 97, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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EHLxWl0NjpHI9e/NBz6xfDo0l5NrvOGQOjpVpq978nZxxcWiYjYCDthqPKS7NoWGtafMM1AfB6lxX1iSHhmXLB8OltV1H7poaH4dGQtw0Xj4Hx2yuG2uDQ8Oy962HTvUBcgHXh7XFoWGD4QOlAzQ3OV6d6dCwVnXd5z3mg+ZYX7d1q5F/wmSWmvkD6KaTdvVckvY5LJp14NQ51ux6uu9iJMuhsYgcm472fEMOj77DwldOjVOt7ilJR0u6SdLu4u+aKctskPRdSfdJulvSe0rzPi/pQUl3FbcNdcpjNkvfB9gmjbkLzvpXd0zjUuCWiFgP3FI8XuhJ4H0R8ZvAOcB/l3RUaf6fRsSG4nZXzfJky5fbtm8IB9ohvAbLW93Q2AxcU9y/Bjhv4QIR8aOI2F3c/0fgUeClNZ/XbEVyPujmXPa6cv2BzSGqGxprI+KR4v6PgbWLLSzpDGAOeKA0+WNFt9WVkg5fZN1tknZK2vn0oadqFtu6lFrfd47dO6mVN7X31Lqz5EC4pJuBl0+ZdVn5QUSEpFhkO8cBXwS2RsT8acNHmITNHLAd+DBw+bT1I2J7sQyr59bOfB6zqsoH4hQHylMLCjOoEBoRcfaseZJ+Ium4iHikCIVHZyz3G8DXgcsi4o7StudbKQclfQ740LJKb9aQVALEQZEGX3Y7W91LbncAW4Erir9fW7iApDngq8AXIuL6BfPmA0dMxkPurVkeq8D9w4ubduBuI0gcEAaTS/tffO/+votRWd3QuAK4TtJFwD8A7waQtBF4f0RcXEz7HeAYSRcW611YXCn1V5JeCgi4C3h/zfKYtcIH+Od4PGPcaoVGRDwGnDVl+k7g4uL+l4AvzVj/zDrPb/n4+YOrOXLdE30Xw8xq8m9PJcDf0TCzXDg0zMysMoeGmZlV5tCYwT9WaPZCfQ6Cd33Vn7uNp3NoWGd81Y1Z/hwaPev6bMbf0TCzOhwaZmZWmUPDzKxnOY2hOjTMzKwyh8aIeDzD6ur7W/2+gqp/Do0pumoqjnGH9BVUZnlzaFin+j5TNbN6HBpmZlaZQ2MkPJ5hQ+FxjX45NMzMrDKHhnXG4xlms+XyXQ2HRk/c5LVcpRD+7m7tj0NjgVzS3sy645O859QKDUlHS7pJ0u7i75oZyz0r6a7itqM0fZ2k70naI+krkvzOtCCFs7IUzk7NrL66LY1LgVsiYj1wS/F4mqciYkNxO7c0/ePAlRHxauAAcFHN8pjZSKRwMjRGdUNjM3BNcf8a4LyqK0oScCZw/UrWz5mbupY7txzHq25orI2IR4r7PwbWzljuCEk7Jd0haT4YjgF+GhHPFI/3ATMHFCRtK7ax8+lDT9UstpmZrcRhSy0g6Wbg5VNmXVZ+EBEhKWZs5uSI2C/pFOBWSfcAyzpViYjtwHaA1XNrZz2PLZBCE95npcN05Lonev8tsZ+96hAveaCb63kOnDrHml1Pd/JcKVsyNCLi7FnzJP1E0nER8Yik44BHZ2xjf/F3r6TbgdOBvwGOknRY0do4Adi/gteQFXdNmdksT73ueF58b9qHwboRvQPYWtzfCnxt4QKS1kg6vLh/LPAW4P6ICOA24PzF1reVS6GVYcPmVuT41A2NK4C3S9oNnF08RtJGSVcVy7wW2CnpB0xC4oqIuL+Y92Hgg5L2MBnj+GzN8lhifFCxtvnkqFtLdk8tJiIeA86aMn0ncHFx/zvA62esvxc4o04ZbDp/kKwrKYxtdMXjGv5G+PO0/W3wsY1nuJVhXfFJUnccGtYKB8a4+P0eD4fGAPV91uUDiA3Z2HoMFnJodGTsO5oNX98nC32fLDUl9R9NdWgMTN8fnL4PHGbWLoeGNcaBYX3vA32fNI2BQ6MDXXVN9fmB6ftgYdalMXc3OzQKqfcjmuWi7xMItzba5dAYCLcyzKwLtb4RbksbejPWgfGcTSftesG0bz10ag8l6d+YviU+Ng6NAeirleHAmB4Ui80fU4j0GRxd/GT6WH9SxKHRoi5aGQ6MfiwVFlXXG3qIzO8nfYRHl/9rY0wcGrZsQw2MlQZBk8851BAZanfVGFsbDg3yvXLKV4msXB8BUcWQQ6SP4Mi1tZHyP2NyaLRkqAPgubcyUg2LWYYWIkMMjrG1NhwameqjlZFzYOQWFrMMIUSGGBxj4lq0SnINjE0n7RpMYEwz5NeWk6H2LEwz+tDIcTyj61ZGjoEx9LAoy/G19rFP5TYGmOqxqVZoSDpa0k2Sdhd/10xZ5m2S7irdfiHpvGLe5yU9WJq3oU55UtHmWYcDY3E5HkCbkttrz23fWspYWht1WxqXArdExHrgluLx80TEbRGxISI2AGcCTwLfKi3yp/PzI+KumuWxBuX0oc7tgNmmnOqi630st9ZGiuqGxmbgmuL+NcB5Syx/PvCNiHiy5vMmayitjFwCI6cDZNdyqZtc9rUqxtDaqBsaayPikeL+j4G1Syy/Bfjygmkfk3S3pCslHV6zPMuSap9h33L4EOdyQExBDvXU5T6XU2sjxWPUkpfcSroZePmUWZeVH0RESIpFtnMc8HrgxtLkjzAJmzlgO/Bh4PIZ628DtgEcseolSxV7cHLa0duUwwEwRZtO2pXl5bmWniVDIyLOnjVP0k8kHRcRjxSh8Ogim3o38NWI+GVp2/OtlIOSPgd8aJFybGcSLKyeWzsznPo0hKZpqq0Mh0V983WYanh0+f2NNr+3MfQv+9WttR3A1uL+VuBriyx7AQu6poqgQZKYjIfcW7M8g9RVKyPFwHA3VPNSrtMU90F7vrqhcQXwdkm7gbOLx0jaKOmq+YUkvRI4EfjfC9b/K0n3APcAxwL/uWZ5Kmu6rzD3VkZqH9aUD2xDkWodd7Uv5tLlm9q4Rq2fEYmIx4CzpkzfCVxcevx/gRe88og4s87zj0EXO3ZKgZHiQWzoUuy2Guqv4g6Bf3sqYWMKDIdF/8rvQQoB0kVwtDW2MeRxjdH/jEgTcu2acmDYLKl0XaWyj9pz3NJIVJutjFQ+iCkclGxxKbQ+2m5x5PALuCn9f420a6olTQ4stdHKGHpgpHIWa8vT53t25LonWt13cxkUT8EoQ2Os+g4Mh0X++n4PcwqOXLutl+LQqCGnVkYKgWHD0XdwtLU/u8WxNIdGQoYYGH2fmVp7hvq+Nvk5bPLEMpXva3ggfIWabmUMLTCGekCx5+vzOx5tDpDnMDjeF9fKCjgwFufAGJ++3vO+u12rGNrYhlsaPRtSYIwhLP5wzXemTv/igTd3XJL09NXqaKvF0WRrY0hf9htdaNTtF8zhrMGB0ZxZIbHS5cqGGjR9hEcOwTEUowuNOnLoluo6MIYUFis58LfxfEMJk67/h0fqwTGU1oZDoye5B8YQwqLrkKhqWrlyDZKuWx3+ocP2OTQqarKV4cDoXqoBUVXuQdJleLQRHG5tPGdUoZHKdc5N6yowcgmL3AOiqhy7t7rqsnJwtGdUoZGCXL9xmmJgjCUcliv1MOmq1eGuqnY4NCpoqmsqx26p1MLCQbFy5bpLIUC6CI+mg6Pvq6lS+LVbh0bG2gyMlMLCQdG8+TpNJTxS+KdPVfUdHH0bTWj0PZ7RdCtj6IHhoOhGKuHRZqsjxW6qnMc1asWlpD+QdJ+kQ5I2LrLcOZJ2Sdoj6dLS9HWSvldM/4qk9L85twK5BEYqPy7owOjeH675ThL13tb+1/RnJtexySbUbWPdC/xr4NuzFpC0CvgU8E7gNOACSacVsz8OXBkRrwYOABfVLE/jcvgGeF0phUUKB64xS+E9aGt/HEpw9N1rUis0IuKHEbHUu3sGsCci9kbE08C1wGZJAs4Eri+WuwY4r055UpR6KyOFsAC3LlKTwvuRyr65mDG2OLoY0zgeeLj0eB/wRuAY4KcR8Uxp+swIlbQN2FY8PPjN/Z+8d1mlWOkFBzeucL2JY4F/rrWFlt0z+dN7Of/b0ov0XsaKBlTO6zopyBIGVJ9JqD1otGRoSLoZePmUWZdFxNfqFqCqiNgObC/KtDMiZo6hpMLlbE4OZQSXs2kuZ7Mk7ay7jSVDIyLOrvkc+4ETS49PKKY9Bhwl6bCitTE/3czMEtXFxcZ3AuuLK6XmgC3AjogI4Dbg/GK5rUBnLRczM1u+upfc/p6kfcC/Ar4u6cZi+isk3QBQtCIuYTI68EPguoi4r9jEh4EPStrDZIzjsxWfenudcnfI5WxODmUEl7NpLmezapdTkxN+MzOzpY33u/BmZrZsDg0zM6ss2dDI4SdKJB0t6SZJu4u/a6Ys8zZJd5Vuv5B0XjHv85IeLM3b0HQZq5azWO7ZUll2lKZ38nMvFetzg6TvFvvG3ZLeU5rXan3O2tdK8w8v6mdPUV+vLM37SDF9l6R3NFmuFZTzg5LuL+rvFkknl+ZN3Qd6KOOFkv6pVJaLS/O2FvvIbklb2ypjxXJeWSrjjyT9tDSvk7osnutqSY9Kmvr9NU38RfE67pb0htK85dVnRCR5A17L5IsotwMbZyyzCngAOAWYA34AnFbMuw7YUtz/NPDHLZTxE8Clxf1LgY8vsfzRwOPArxePPw+c30FdVion8PMZ01uvy6rlBP4lsL64/wrgEeCotutzsX2ttMy/Bz5d3N8CfKW4f1qx/OHAumI7q3os59tK++Afz5dzsX2ghzJeCPzllHWPBvYWf9cU99f0Vc4Fy/8JcHWXdVl6rt8B3gDcO2P+u4BvAALeBHxvpfWZbEsj8viJks3Ftqs+x/nANyLiyRbKspjllvNXOqxLqFDOiPhRROwu7v8j8Cjw0pbKUzZ1X1uwTLn81wNnFfW3Gbg2Ig5GxIPAnmJ7vZQzIm4r7YN3MPmOVJeq1OUs7wBuiojHI+IAcBNwTiLlvAD4cktlWVREfJvJCeksm4EvxMQdTL4jdxwrqM9kQ6OiaT9RcjzL/ImSGtZGxCPF/R8Da5dYfgsv3Kk+VjQXr5R0eOMlnKhaziMk7ZR0x3wXGt3V5XLKCYCkM5icAT5QmtxWfc7a16YuU9TXE0zqr8q6XZaz7CImZ6Dzpu0DTataxt8v3svrJc1/QTjJuiy6+NYBt5Ymd1GXVc16Lcuuz17/n4YS+YmSxSxWxvKDiAhJM69fLlL99Tz/16w+wuTgOMfk+ukPA5f3WM6TI2K/pFOAWyXdw+TA15iG6/OLwNaImP/VuMbqcwwkvRfYCLy1NPkF+0BEPDB9C636O+DLEXFQ0r9j0oI7s4dyVLUFuD4ini1NS6UuG9VraEQGP1GyWBkl/UTScRHxSHEQe3SRTb0b+GpE/LK07fmz6oOSPgd8aCVlbKqcEbG/+LtX0u3A6cDf0ODPvTRRTkm/AXydycnFHaVtN1afU8za16Yts0/SYcBqJvtilXW7LCeSzmYS1G+NiIPz02fsA00f6JYsY0Q8Vnp4FZPxrvl1f3fBurc3XL55y3nftgAfKE/oqC6rmvVall2fuXdP9f0TJTuKbVd5jhf0dxYHxvlxg/OY/H+SNixZTklr5rtzJB0LvAW4v8O6rFrOOeCrTPpnr18wr836nLqvLVL+84Fbi/rbAWzR5OqqdcB64O8bLNuyyinpdOAzwLkR8Whp+tR9oKcyHld6eC6TX5OASUt9U1HWNcAm6v4WdY1yFmV9DZNB5O+WpnVVl1XtAN5XXEX1JuCJ4iRr+fXZ1ej+cm/A7zHpXzsI/AS4sZj+CuCG0nLvAn7EJMEvK00/hckHcw/w18DhLZTxGOAWYDdwM3B0MX0jcFVpuVcySfQXLVj/Via/Tn4v8CXgyJbqcslyAm8uyvKD4u9FXdblMsr5XuCXwF2l24Yu6nPavsak++vc4v4RRf3sKerrlNK6lxXr7QLe2fJnZ6ly3lx8pubrb8dS+0APZfwvwH1FWW4DXlNa998WdbwH+KM+67J4/J+AKxas11ldFs/3ZSZXEv6SyXHzIuD9wPuL+WLyz/AeKMqzsbTusurTPyNiZmaV5d49ZWZmHXJomJlZZQ4NMzOrzKFhZmaVOTTMzKwyh4aZmVXm0DAzs8r+P7i9kUddcfQKAAAAAElFTkSuQmCC\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 10))\n", "axes = fig.add_subplot(111, projection='3d')\n", "trisurf(U, axes=axes)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.3" } }, "nbformat": 4, "nbformat_minor": 4 }