{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Various versions of Poisson's equation. \n", "\n", "Many ideas that are discussed below are from the following sources. \n", "1. The [FEniCS tutorial](https://www.springer.com/gp/book/9783319524610), freely available at the link provided. \n", "2. Various FEniCS python codes available on the [companion website](https://github.com/hplgit/fenics-tutorial/tree/master/pub/python/vol1) of the book:\n", " i. [Example-1](https://github.com/hplgit/fenics-tutorial/blob/master/pub/python/vol1/ft01_poisson.py) and \n", " ii. [Example-2](https://github.com/hplgit/fenics-tutorial/blob/master/pub/python/vol1/ft02_poisson_membrane.py)\n", "3. More detailed examples are given as FEniCS [demos](https://fenicsproject.org/docs/dolfin/1.5.0/python/demo/index.html). **Note**: some of these demos may need to be tweaked to make them working in FEniCS 2019.1\n", "\n", "#### Example-1 [Demo-1](https://fenicsproject.org/docs/dolfin/1.5.0/python/demo/documented/poisson/python/documentation.html)\n", "Below, I will simultaneously work out the code and demonstrate how this works.\n", "\n", "**Simplest version of Poisson Equation**" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "from dolfin import *" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "# Create mesh and define function space\n", "deg = 1\n", "mesh = UnitSquareMesh(32, 32)\n", "V = FunctionSpace(mesh, \"Lagrange\", deg)" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": [ "# Define Dirichlet boundary (x = 0 or x = 1)\n", "def boundary(x):\n", " return x[0] < DOLFIN_EPS or x[0] > 1.0 - DOLFIN_EPS" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [], "source": [ "# Define boundary condition\n", "u0 = Constant(0.0)\n", "bc = DirichletBC(V, u0, boundary)" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bc." ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "# Define variational problem\n", "u = TrialFunction(V)\n", "v = TestFunction(V)\n", "f = Expression(\"10*exp(-(pow(x[0] - 0.5, 2) + pow(x[1] - 0.5, 2)) / 0.02)\", degree=1)\n", "g = Expression(\"sin(5*x[0])\", degree=1)\n", "a = inner(grad(u), grad(v))*dx\n", "L = f*v*dx + g*v*ds" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [], "source": [ "# Compute solution\n", "u = Function(V)\n", "solve(a == L, u, bc)" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Save solution in VTK format\n", "file = File(\"poisson/poisson.pvd\")\n", "file << u\n", "\n", "# plot solution\n", "# import matplotlib to plot over and above \"plot\" from FEniCS\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", "# Contour-Color plot\n", "c = plot(u)\n", "plt.colorbar(c)\n", "plt.show()\n", "\n", "# Heat Map\n", "plt.figure()\n", "c = plot(u, mode='color')\n", "plt.colorbar(c)\n", "plt.show()\n", "\n", "plot(mesh)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Example-2: [Demo-2](https://github.com/hplgit/fenics-tutorial/blob/master/pub/python/vol1/ft01_poisson.py)\n", "\n", "In this demo, it is seen that we have a solution of the form:\n", "\n", "$$u(x,y) = 1 + x^2 + 2 y^2.$$\n", "\n", "The Laplace equation $-\\nabla^2 u(x,y) = f(x,y)$ implies that $f(x,y) = -6$. Now, what are the boundary conditions? \n", "\n", "On the boundary:\n", "\n", "$$u = u_D \\mbox{ on } \\Gamma_D$$.\n", "\n", "Hence, $u_D = 1 + x^2 + 2y^2$. This is called as the method of Manufactured Solution. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "error_L2 = 0.0005146936295757081\n", "error_max = 2.220446049250313e-14\n", "norm = 2.10818510677892\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\"\"\"\n", "FEniCS tutorial demo program: Poisson equation with Dirichlet conditions.\n", "Test problem is chosen to give an exact solution at all nodes of the mesh.\n", " -Laplace(u) = f in the unit square\n", " u = u_D on the boundary\n", " u_D = 1 + x^2 + 2y^2\n", " f = -6\n", "\"\"\"\n", "\n", "from __future__ import print_function\n", "from fenics import *\n", "import matplotlib.pyplot as plt\n", "\n", "# Create mesh and define function space\n", "mesh = UnitSquareMesh(32, 32)\n", "V = FunctionSpace(mesh, 'P', 1)\n", "\n", "# The exact solution\n", "u_D = Expression('1 + x[0]*x[0] + 2*x[1]*x[1]', degree=2)\n", "\n", "# Define boundary condition\n", "def boundary(x, on_boundary):\n", " return on_boundary\n", "\n", "bc = DirichletBC(V, u_D, boundary)\n", "\n", "# Define variational problem\n", "u = TrialFunction(V)\n", "v = TestFunction(V)\n", "f = Constant(-6.0)\n", "a = dot(grad(u), grad(v))*dx\n", "L = f*v*dx\n", "\n", "# Compute solution\n", "u = Function(V)\n", "solve(a == L, u, bc)\n", "\n", "# Plot solution and mesh\n", "c = plot(u)\n", "plt.colorbar(c)\n", "#plot(mesh)\n", "\n", "# Save solution to file in VTK format\n", "vtkfile = File('poisson/solution.pvd')\n", "vtkfile << u\n", "\n", "# Compute error in L2 norm\n", "error_L2 = errornorm(u_D, u, 'L2')\n", "norm_L2 = norm(u_D, 'L2', mesh)\n", "\n", "# Compute maximum error at vertices\n", "vertex_values_u_D = u_D.compute_vertex_values(mesh)\n", "vertex_values_u = u.compute_vertex_values(mesh)\n", "import numpy as np\n", "error_max = np.max(np.abs(vertex_values_u_D - vertex_values_u))\n", "\n", "# Print errors\n", "print('error_L2 =', error_L2)\n", "print('error_max =', error_max)\n", "print('norm =', norm_L2)\n", "\n", "# Hold plot\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__How does one obtain the flux__?" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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zj7tJfoo4P0GfR1fNbJh5WpeZ1dQbHTy/eVzRYQyJD6XMrNSc5MyscJI+nE4J7ZNU87aGjaaYVuMkZ2at4D7gZOrcQzXnFNMB3CdnZoWLiAcAkpmhNeWZYjpAobck7PHoqllL6w3x3Obt8hafLOnOzHJXRHQ1MZw8U0wH8JGcmTXL+oio1592CzClyqYFEXFdjvrzTDEdwEnOzEZERBwzxCryTDEdwOeLZtYu8kwxHcBJzswKJ+kDktYC7wBukHRTun6qpCWQTDEF+qeYPgD8KCJWNKq7uIEHQe/YuiMpZraNiIjFwOIq67uBuZnlAVNMG3GfnJnV1BsdvLi5ve9k4NNVMys1JzkzKzUnOTMrNSc5Myu14gYeOqB3bGGtm1kOfSE2euDBzKx1OcmZWak5yZlZqTnJmVmpFTuta4yndZnZ8PK0LjOrqa9PbNzk0VUzs5blJGdmpeYkZ2alVlyfnKCvvU/1zawNeODBzGrqC/HK5tFFhzEkPl01s1JzkjOzwkn6sKQVkvok1but4RpJ90q6q+IerzX5dNXMWsF9wMnApTnKHhUR6/NW7CRnZoWLiAcApObPgip4WldRrZtZHhHi1U2508TkilPIrojoanZIwM2SArg0T/0+kjOzZlkfEfX6024BplTZtCAirsvZxuER0S1pV2CppJURsazeDrmSnKQ5wHeBTuCyiDi/SpkjgQuB0SRP9t05gzazbUBEHNOEOrrTf9dJWgwcCtRNcg1HVyV1AhcDxwOzgFMlzaooMwm4BDghIvYDPrxVz8DMrAZJ4yVN6H8MHEcyYFFXnktIDgVWRcTqiNgELAJOrCjzEeDaiHgMkiw7mODNbNsm6QOS1gLvAG6QdFO6fqqkJWmx3YDfSLobuB24ISJubFR3ntPVacDjmeW1wGEVZf4cGC3pVmAC8N2I+EGVJzIPmAcwasedPK3LzACIiMXA4irru4G56ePVwIGDrTtPkqs2phtV6jkEOBrYDvidpOUR8VBFwF1AF8B2u8+orMPMWkwE9GzqLDqMIcmT5NYCMzLL04HuKmXWR8RGYKOkZSQZ9yHMzAqUp0/uDmCmpL0kjQFOAa6vKHMd8E5JoyRtT3I6+0BzQzUzG7yGR3IR0SPpDOAmkktILo+IFZLmp9sXRsQDkm4E7gH6SC4zaTjqYWY23HJdJxcRS4AlFesWVixfAFzQvNDMzIauuGldHdA7tqjWzSyXEH2b23vgwT+1ZGal5iRnZqXmJGdmpeYkZ2alVuzdutr7/hhm1gb8e3JmVlsf8Gp7n/C1d/RmZg04yZlZqTnJmVmpOcmZWakVereuvjH+STmzlhZCm9r7WKi9ozcza8BJzswKJ+kCSSsl3SNpcXpzrGrl5kh6UNIqSWfnqdtJzsxawVJg/4g4gOQXxc+pLJDnzoHVOMmZWeEi4uaI6EkXl5PcZqFSnjsHDlDstC4PPJiVyWRJd2aWu9KbVw3Wp4AfVlmf586BA3hal5nVFtCxqdoN+6paHxGza22UdAswpcqmBRFxXVpmAdADXFWtiuoR1uckZ2YjIiKOqbdd0ieA9wFHR0S15JXnzoEDuE/OzAonaQ5wFnBCRLxUo1ieOwcO4CRnZq3gImACsFTSXZIWAkiaKmkJJHcOBPrvHPgA8KOIWNGoYp+umlnhImLvGuu7gbmZ5QF3DmykwNHVIMb0Fda8mTWmwQ08tCSfrppZqTnJmVmpOcmZWak5yZlZqRU38NABjPXAg1lLC+jYXHQQQ+MjOTMrNSc5Mys1JzkzKzUnOTMrtUJnPHSM7i2seTPbNnjuqpnVpD7ofLXoKIbGp6tmVmq5klzeO+RIepukXkkfal6IZmZbr2GSy3uHnLTct0l+68nMrCXkOZLLe4ecM4EfA+uaGJ+Z2ZDkGXhoeIccSdOADwDvAd5WqyJJ84B5AKMmT2TUGI+umrW0gI5NRQcxNHmO5PLcIedC4KyIqJu1IqIrImZHxOzOHcfnjdHMbKvlOZLLc4ec2cAiSQCTgbmSeiLiJ02J0sxKTdIFwPuBTcDDwOkR8WyVcmuAF4BeoKfeLRD75TmSa3iHnIjYKyL2jIg9gf8EPucEZ2aDsBTYPyIOAB4CzqlT9qiIOChPgoMcSa7WHXIkzZc0P08jZmb1RMTNaa4BWE5yxtgUuWY8VLtDTkQsrFH2k3nqlIKxY3oaFzSzdjFZ0p2Z5a6I6NqKej4F/LDGtgBulhTApXnq97QuM6tJAZ35R1fX1zuFlHQLMKXKpgURcV1aZgHQA1xVo5rDI6Jb0q4k92hdGRHL6gXlJGdmIyIijqm3XdIngPcBR0dE5RUc/XV0p/+uk7SY5DreuknOc1fNrHCS5gBnASdExEs1yoyXNKH/MXAccF+jup3kzKwVXARMIDkFvUvSQgBJUyX1jwfsBvxG0t3A7cANEXFjo4p9umpmhYuIvWus7wbmpo9XAwcOtu7CklyHgnGj2/w2QGZlt41M6zIza1tOcmZWak5yZlZqTnJmVmrFDTx0BOPHtHmPppm1PF9CYmY1JdO6qk4+aBs+XTWzUnOSM7NSc5Izs1JzkjOzUit0Wtf40R5dNWtpfdD5atFBDI2P5Mys1JzkzKzUnOTMrNSc5Mys1AobeOhUHzt44MHMhpmndZlZTQrofNXTuszMhkTSeZLuSe/vcLOkqTXKzZH0oKRVks7OU7eTnJm1ggsi4oCIOAj4GfC1ygKSOoGLgeOBWcCpkmY1qthJzswKFxHPZxbHA9XOkQ8FVkXE6ojYBCwCTmxUd4EDD8HE0S8X1byZNd9kSXdmlrsioivvzpK+CZwGPAccVaXINODxzPJa4LBG9XrgwcxqUl8w6tW+vMXXR8TsmnVJtwBTqmxaEBHXRcQCYIGkc4AzgHMrq6iyb8NRESc5MxsREXFMzqJXAzcwMMmtBWZklqcD3Y0qc5+cmRVO0szM4gnAyirF7gBmStpL0hjgFOD6RnX7SM7MWsH5kvYB+oBHgfkA6aUkl0XE3IjokXQGcBPQCVweESsaVVzojIcdR79SVPNm1kIi4oM11ncDczPLS4Alg6nbR3JmVltAR/6Bh5bkPjkzK7VcSa7RVApJH02nZNwj6TZJBzY/VDOzwWuY5HJOpXgEeHdEHACcB+S+ANDMbDjlOZJrOJUiIm6LiA3p4nKS61fMzAqXZ+BhsFMpPg38vNoGSfOAeQATd9+OnUZtzBmmmdnWyZPkck+lkHQUSZI7otr2dB5bF8C0/Sa1949UmW0D1AedbT66mifJ5ZpKIekA4DLg+Ih4ujnhmZkNTZ4+uYZTKSTtAVwLfDwiHmp+mGZmW6fhkVytqRSS5qfbF5L8wN0uwCWSAHrq/RqBmdlIyTXjodpUijS59T/+DPCZwTTcqT4mdr40mF3MzAbN07rMrLYIOl/pKTqKIfG0LjMrNSc5Mys1JzkzKzUnOTMrtUJ/NNOjq2Y23Dy6amY1qS9Qm4+uOsmZWeEknUfy60Z9wDrgk+lPn1eWWwO8APSSc9KB++TMrBVcEBEHRMRBwM9IZlHVclREHJR3VpWTnJkVLiKezyyOJ8dNo/Mq7HR1FL3sMurFopo3sxYj6ZvAacBzwFE1igVws6QALk1/vq0u98mZWW0RdLyyKW/pyZLuzCx3ZZOQpFuAKVX2WxAR10XEAmCBpHOAM4Bzq5Q9PCK6Je0KLJW0MiKW1QvKSc7MmmV9vX6yiDgmZz1XAzdQJcn1D0ZExDpJi0luz1A3yblPzswKJ2lmZvEEYGWVMuMlTeh/DBwH3Neobh/JmVkrOF/SPiSXkDwKzAeQNBW4LCLmArsBi9PfrBwFXB0RNzaq2EnOzAoXER+ssb4bmJs+Xg0M+p7OhU7rmtThaV1mNrx8JGdmtfX1wSuvFh3FkHjgwcxKzUnOzErNSc7MSq3AaV3BLh2vFNW8mW0jPPBgZrX1hQcezMxamZOcmZWak5yZlVqBMx5golOsmQ0zDzyYWW19fcRLLxcdxZD4WMrMSs1JzsxKzUnOzErNfXJmJTKxY2zRIbSc4kZXkd8QMxt2PpIzs5oigr6X23uOufvkzKzUciU5SXMkPShplaSzq2yXpO+l2++RdHDzQzWzspP0JUkhaXKN7XVzUTUNk5ykTuBi4HhgFnCqpFkVxY4HZqZ/84Dv52nczKyfpBnAscBjNbbnyUUD5DmSOxRYFRGrI2ITsAg4saLMicAPIrEcmCRp9xx1m5n1+w7wd0DU2J4nFw2QZ+BhGvB4ZnktcFiOMtOAJ7OFJM0jOdIDeHX7qWsa3hi2hUwG1hcdRE7tFCu0V7ztFCvAPkPZ+YV45qalm6+peupYxThJd2aWuyKiK8+Okk4AnoiIu9P7qlaTJxcNkCfJVWuxMtPmKUP6hLsAJN0ZEbNztN8S2inedooV2ivedooVkniHsn9EzGliLLcAU6psWgB8BTiuURVV1tU66ntNniS3FpiRWZ4OdG9FGTPbhkXEMdXWS3oLsBfQfxQ3HfgfSYdGxFOZoluVZ/L0yd0BzJS0l6QxwCnA9RVlrgdOS0dZ3w48FxFPVlZkZlYpIu6NiF0jYs+I2JMkmR1ckeAgXy4aoOGRXET0SDoDuAnoBC6PiBWS5qfbFwJLgLnAKuAl4PQczy3XuXoLaad42ylWaK942ylWaL94tyBpKnBZRMytlYsa1hHR8JTWzKxtecaDmZWak5yZldqwJ7l2mhKWI9aPpjHeI+k2SQcWEWcmnlxTXCS9TVKvpA+NZHwVMTSMVdKRku6StELSr0c6xopYGn0WJkr6qaS703jz9EMPC0mXS1onqep1p630HStERAzbH0nn4MPAnwFjgLuBWRVl5gI/J7kG5u3A74czpiHG+hfATunj44uKNW+8mXK/JBkc+lCrxgpMAu4H9kiXd23l15bkuq5vp4/fADwDjCko3ncBBwP31djeEt+xov6G+0iunaaENYw1Im6LiA3p4nKS63SKkneKy5nAj4F1IxlchTyxfgS4NiIeA4iIVo83gAlKLuzagSTJ9YxsmGkgEcvS9mtple9YIYY7ydWa7jXYMiNhsHF8muR/x6I0jFfSNOADwMIRjKuaPK/tnwM7SbpV0n9LOm3EohsoT7wXAfuSXIx6L/DFiOgbmfAGrVW+Y4UY7h/NbNqUsBGQOw5JR5EkuSOGNaL68sR7IXBWRPTWmQ84EvLEOgo4BDga2A74naTlEfHQcAdXRZ543wvcBbwHeBOwVNJ/RcTzwx3cVmiV71ghhjvJtdOUsFxxSDoAuAw4PiKeHqHYqskT72xgUZrgJgNzJfVExE9GJsTX5P0crI+IjcBGScuAA4EiklyeeE8Hzo+k02uVpEeANwO3j0yIg9Iq37FiDHOH6ChgNcm8tP4O3P0qyvwlW3aK3l5E52TOWPcgmdXxF0V3puaJt6L8FRQ38JDntd0X+EVadnvgPmD/Fo73+8DX08e7AU8Akwv8POxJ7YGHlviOFfU3rEdyMXxTwoqK9WvALsAl6dFRTxT0ixQ5420JeWKNiAck3QjcA/SRTOUp5Ke4cr625wFXSLqXJHmcFRGF/ASTpGuAI4HJktYC5wKjM7G2xHesKJ7WZWal5hkPZlZqTnJmVmpOcmZWak5yZlZqTnJmVmpOcmZWak5yZlZq/x/+zYNsJeI+XwAAAABJRU5ErkJggg==\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Get the flux\n", "V = u.function_space()\n", "mesh = V.mesh()\n", "degree = V.ufl_element().degree()\n", "W = VectorFunctionSpace(mesh, 'P', degree)\n", "grad_u = project(grad(u), W)\n", "flux_u = project(-grad(u), W)\n", "\n", "plot(flux_u, title='flux field')\n", "flux_x, flux_y = flux_u.split(deepcopy=True) # extract components\n", "c = plot(flux_x, title='x-component of flux (-kappa*grad(u))')\n", "plt.colorbar(c)\n", "plt.show()\n", "\n", "plt.figure()\n", "c = plot(flux_y, title='y-component of flux (-kappa*grad(u))')\n", "plt.colorbar(c)\n", "plt.show()\n", "\n", "plt.figure()\n", "c = plot(flux_u)\n", "c.autoscale()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Example-3**: Now, we will make use of this [demo](https://github.com/hplgit/fenics-tutorial/blob/master/pub/python/vol1/ft02_poisson_membrane.py) to understand the deformation of a membrane under the influence of an eccentric load\n", "\n", "This problem is purely a Dirichlet BC problem." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-9.99000000e-01, -9.79020000e-01, -9.59040000e-01, -9.39060000e-01,\n", " -9.19080000e-01, -8.99100000e-01, -8.79120000e-01, -8.59140000e-01,\n", " -8.39160000e-01, -8.19180000e-01, -7.99200000e-01, -7.79220000e-01,\n", " -7.59240000e-01, -7.39260000e-01, -7.19280000e-01, -6.99300000e-01,\n", " -6.79320000e-01, -6.59340000e-01, -6.39360000e-01, -6.19380000e-01,\n", " -5.99400000e-01, -5.79420000e-01, -5.59440000e-01, -5.39460000e-01,\n", " -5.19480000e-01, -4.99500000e-01, -4.79520000e-01, -4.59540000e-01,\n", " -4.39560000e-01, -4.19580000e-01, -3.99600000e-01, -3.79620000e-01,\n", " -3.59640000e-01, -3.39660000e-01, -3.19680000e-01, -2.99700000e-01,\n", " -2.79720000e-01, -2.59740000e-01, -2.39760000e-01, -2.19780000e-01,\n", " -1.99800000e-01, -1.79820000e-01, -1.59840000e-01, -1.39860000e-01,\n", " -1.19880000e-01, -9.99000000e-02, -7.99200000e-02, -5.99400000e-02,\n", " -3.99600000e-02, -1.99800000e-02, 1.11022302e-16, 1.99800000e-02,\n", " 3.99600000e-02, 5.99400000e-02, 7.99200000e-02, 9.99000000e-02,\n", " 1.19880000e-01, 1.39860000e-01, 1.59840000e-01, 1.79820000e-01,\n", " 1.99800000e-01, 2.19780000e-01, 2.39760000e-01, 2.59740000e-01,\n", " 2.79720000e-01, 2.99700000e-01, 3.19680000e-01, 3.39660000e-01,\n", " 3.59640000e-01, 3.79620000e-01, 3.99600000e-01, 4.19580000e-01,\n", " 4.39560000e-01, 4.59540000e-01, 4.79520000e-01, 4.99500000e-01,\n", " 5.19480000e-01, 5.39460000e-01, 5.59440000e-01, 5.79420000e-01,\n", " 5.99400000e-01, 6.19380000e-01, 6.39360000e-01, 6.59340000e-01,\n", " 6.79320000e-01, 6.99300000e-01, 7.19280000e-01, 7.39260000e-01,\n", " 7.59240000e-01, 7.79220000e-01, 7.99200000e-01, 8.19180000e-01,\n", " 8.39160000e-01, 8.59140000e-01, 8.79120000e-01, 8.99100000e-01,\n", " 9.19080000e-01, 9.39060000e-01, 9.59040000e-01, 9.79020000e-01,\n", " 9.99000000e-01])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\"\"\"\n", "FEniCS tutorial demo program: Deflection of a membrane.\n", " -Laplace(w) = p in the unit circle\n", " w = 0 on the boundary\n", "The load p is a Gaussian function centered at (0, 0.6).\n", "\"\"\"\n", "\n", "from __future__ import print_function\n", "from fenics import *\n", "from mshr import *\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Create mesh and define function space\n", "domain = Circle(Point(0, 0), 1)\n", "mesh = generate_mesh(domain, 64)\n", "V = FunctionSpace(mesh, 'P', 2)\n", "\n", "# Define boundary condition\n", "w_D = Constant(0)\n", "\n", "def boundary(x, on_boundary):\n", " return on_boundary\n", "\n", "bc = DirichletBC(V, w_D, boundary)\n", "\n", "# Define load\n", "beta = 8\n", "R0 = 0.6\n", "p = Expression('4*exp(-pow(beta, 2)*(pow(x[0], 2) + pow(x[1] - R0, 2)))',\n", " degree=1, beta=beta, R0=R0)\n", "\n", "# Define variational problem\n", "w = TrialFunction(V)\n", "v = TestFunction(V)\n", "a = dot(grad(w), grad(v))*dx\n", "L = p*v*dx\n", "\n", "# Compute solution\n", "w = Function(V)\n", "solve(a == L, w, bc)\n", "\n", "# Plot solution\n", "import matplotlib.pyplot as plt\n", "p = interpolate(p, V)\n", "\n", "c = plot(w, title='Deflection')\n", "\n", "plot(p, title='Load')\n", "plt.colorbar(c)\n", "plt.show()\n", "# Save solution to file in VTK format\n", "vtkfile_w = File('poisson_membrane/deflection.pvd')\n", "vtkfile_w << w\n", "vtkfile_p = File('poisson_membrane/load.pvd')\n", "vtkfile_p << p\n", "\n", "# Curve plot along x = 0 comparing p and w\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "plt.figure(figsize=(5,5))\n", "tol = 0.001 # avoid hitting points outside the domain\n", "\n", "\n", "y = np.linspace(-1 + tol, 1 - tol, 101)\n", "points = [(0, y_) for y_ in y] # 2D points\n", "w_line = np.array([w(point) for point in points])\n", "p_line = np.array([p(point) for point in points])\n", "plt.plot(y, 50*w_line, 'k', linewidth=2) # magnify w\n", "plt.plot(y, p_line, 'b--', linewidth=2)\n", "plt.grid(True)\n", "plt.xlabel('$y$')\n", "plt.legend(['Deflection ($\\\\times 50$)', 'Load'], loc='upper left')\n", "plt.savefig('poisson_membrane/curves.pdf')\n", "plt.savefig('poisson_membrane/curves.png')\n", "\n", "# Hold plots\n", "#interactive()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0012460571943381969" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "w(0,0.99)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that, by using `mshr` libraries, we can create more complex geometries and meshes." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also install [vtkplotter](https://github.com/marcomusy/vtkplotter) using the command:\n", "\n", "`pip install -U vtkplotter`\n", "\n", "and \n", "\n", "`pip install k3d`\n", "\n", "and then use it as follows:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Problem 8.4 from Fish and Belytschko\n", "\n", "In this example, we consider a manufactured solution of the form\n", "\n", "$$T = (r-a)^2 = x^2 + y^2 - 2a\\sqrt{x^2 + y^2} + a^2$$\n", "\n", "defined over the domain of a square plate with a hole as shown in the Figure below. \n", "\n", "\n", "\n", "__Figure:__ A square plate with a hole, with prescribed temperature at $x = \\pm b$ and prescribed flux at $y = \\pm b$.\n", "\n", "For heat equation with isotropic conductivity and $k = 1$, the corresponding source term that satisfies the Laplace equation is given by\n", "\n", "$$s = -\\nabla^2 T = 2a \\frac{1}{\\sqrt{x^2 + y^2}}-4 $$.\n", "\n", "The essential boundary conditions on $T_\\Gamma$ are\n", "\n", "$$T(r = a) = 0, T(x = \\pm b, y) = a^2 + b^2 + y^2 - 2a\\sqrt{y^2 + b^2} $$.\n", "\n", "The natural boundary conditions on $T_q$ are ($\\bar{q} = -k {\\mathbf n}^T \\nabla T$)\n", "\n", "\\begin{align}\n", "\\bar{q}(x, y=b) &= -\\frac{\\partial T}{\\partial y}(x, y = b) = 2b\\left ( \\frac{a}{\\sqrt{x^2 + b^2}} -1\\right)\\\\\n", "\\bar{q}(x, y=-b) &= -\\frac{\\partial T}{\\partial y}(x, y = -b) = 2b\\left ( \\frac{a}{\\sqrt{x^2 + b^2}}-1\\right)\n", "\\end{align}\n", "\n", "Solve the problem using the finite element method to obtain the field $T(x,y)$ for different mesh sizes and compare the resulting solution with the exact solution. " ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Importing libraries\n", "from dolfin import *\n", "from mshr import *\n", "import matplotlib.pyplot as plt\n", "\n", "# Generating geometry\n", "ret = Rectangle(Point(-1,-1), Point(1,1))\n", "circ = Circle(Point(0.,0.),0.25)\n", "\n", "# Define domain and resolution\n", "domain = ret - circ\n", "res = 30\n", "\n", "# Generate mesh\n", "%matplotlib inline\n", "mesh = generate_mesh(domain, res)\n", "plot(mesh)\n", "\n", "# degree of the polynomial\n", "deg = 1" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# Create classes for defining parts of the boundaries and the interior\n", "# of the domain\n", "b = 1.0;\n", "a = 0.25;\n", "\n", "class Left(SubDomain):\n", " def __init__(self, a, b):\n", " SubDomain.__init__(self)\n", " self.a = a\n", " self.b = b\n", " def inside(self, x, on_boundary):\n", " return on_boundary and abs(x[0] + self.b) < DOLFIN_EPS\n", " \n", "class Right(SubDomain):\n", " def inside(self, x, on_boundary):\n", " return on_boundary and abs(x[0] - b) < DOLFIN_EPS\n", " \n", "class Top(SubDomain):\n", " def inside(self, x, on_boundary):\n", " return on_boundary and abs(b - x[1]) < DOLFIN_EPS\n", " \n", "class Bottom(SubDomain):\n", " def inside(self, x, on_boundary):\n", " return on_boundary and abs(b + x[1]) < DOLFIN_EPS\n", " \n", "class Hole(SubDomain):\n", " def inside(self, x, on_boundary):\n", " return on_boundary and abs(sqrt(x[0]*x[0] + x[1]*x[1])-a) < DOLFIN_EPS\n", " \n", "\n", "# Initialize sub-domain instances\n", "top = Top()\n", "bottom = Bottom()\n", "right = Right()\n", "left = Left(a, b)\n", "hole = Hole()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "# Initialize mesh function for boundary domains\n", "boundaries = MeshFunction('size_t', mesh, mesh.topology().dim()-1)\n", "boundaries.set_all(0)\n", "top.mark(boundaries, 1)\n", "bottom.mark(boundaries, 2)\n", "right.mark(boundaries, 3)\n", "left.mark(boundaries, 4)\n", "hole.mark(boundaries, 5)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# Define input data\n", "s = Expression(\"2.*a/sqrt(x[0]*x[0] + x[1]*x[1]) - 4.\", a = 0.25, degree=deg)\n", "Tlr = Expression(\"a*a + b*b + x[1]*x[1] - 2*a*sqrt(x[1]*x[1] + b*b)\", a = 0.25, b = 1., degree=deg)\n", "qtb = Expression(\"2*b*(a/sqrt(x[0]*x[0] + b*b) - 1.)\", a = 0.25, b = 1., degree = deg)\n", "#qbottom = Expression(\"2*b*(1. - 2*a/sqrt(x[0]*x[0] + x[1]*x[1]))\", a = 0.25, b = 1., degree=deg)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "# Define function space and basis functions\n", "V = FunctionSpace(mesh, \"CG\", deg)\n", "u = TrialFunction(V)\n", "v = TestFunction(V)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# Define Dirichlet boundary conditions at top and bottom boundaries\n", "bcs = [DirichletBC(V, Tlr, boundaries, 3),\n", " DirichletBC(V, Tlr, boundaries, 4)]" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# Define new measures associated with the exterior boundaries\n", "ds = Measure('ds', subdomain_data=boundaries)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Define variational form\n", "L = -qtb*v*ds(1) - qtb*v*ds(2) + s*v*dx \n", "a = inner(grad(u), grad(v))*dx \n", "\n", "# Solve problem\n", "uu = Function(V)\n", "solve(a == L, uu, bcs)\n", "c = plot(uu)\n", "plt.colorbar(c)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now checking the error in the solution" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "L2_error is = 0.0011389546676142438\n", "L2_norm is = 0.8969061754419492\n", "Max error is 0.0020264086729968227\n", "Percentage error is 0.12698704711816994\n" ] } ], "source": [ "u_exact = Expression(\"x[0]*x[0] + x[1]*x[1] - 2*a*sqrt(x[0]*x[0]+x[1]*x[1]) + pow(a,2)\", a = 0.25, degree = 6 )\n", "L2_error = errornorm(u_exact, uu, 'L2')\n", "L2_norm = norm(u_exact, 'L2', mesh)\n", "# max error\n", "vertex_values_u_exact = u_exact.compute_vertex_values(mesh)\n", "vertex_values_u = uu.compute_vertex_values(mesh)\n", "import numpy as np\n", "error_max = np.max(np.abs(vertex_values_u_exact - vertex_values_u))\n", "\n", "print(\"L2_error is = \", L2_error)\n", "print(\"L2_norm is = \", L2_norm)\n", "print(\"Max error is \", error_max)\n", "print(\"Percentage error is \", L2_error/L2_norm*100)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$T(x, 0.5)$')" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Make a plot\n", "import numpy as np\n", "u_exact_V = interpolate(u_exact, V)\n", "plt.figure(figsize=(5,5))\n", "tol = 0.001 # avoid hitting points outside the domain\n", "x = np.linspace(-1 + tol, 1 - tol, 101)\n", "points = [(x_, 0.5) for x_ in x] # 2D points\n", "uu_line = np.array([uu(point) for point in points])\n", "u_exact_line = np.array([u_exact_V(point) for point in points])\n", "plt.plot(x, uu_line, 'k', linewidth=2) # magnify w\n", "plt.plot(x, u_exact_line, 'r--', linewidth=2)\n", "plt.grid(True)\n", "plt.xlabel('$y$')\n", "plt.ylabel('$T(x, 0.5)$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, obtaining the flux" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "L2_flux_error is = 0.0167753095707835\n", "L2_norm is = 2.3530660300648494\n", "% error is = 0.7129128276235062\n" ] } ], "source": [ "V = uu.function_space()\n", "mesh = V.mesh()\n", "degree = V.ufl_element().degree()\n", "W = VectorFunctionSpace(mesh, 'P', degree)\n", "grad_u = project(grad(uu), W)\n", "flux_u = project(-grad(uu), W)\n", "\n", "# get the exact flux\n", "grad_u_exact = f2 = Expression((\"2*x[0]*(1-a/sqrt(x[0]*x[0] + x[1]*x[1]))\",\"2*x[1]*(1-a/sqrt(x[0]*x[0] + x[1]*x[1]))\")\\\n", " , a = 0.25, b = 1, degree=5)\n", "#plot(interpolate(f2, W))\n", "\n", "#u_exact_P = project(u_exact, V)\n", "# get the errornorm\n", "L2_flux_error = errornorm(grad_u_exact, grad_u, 'L2')\n", "L2_norm = norm(grad_u_exact, 'L2', mesh)\n", "print(\"L2_flux_error is = \", L2_flux_error)\n", "print(\"L2_norm is = \", L2_norm)\n", "print(\"% error is = \", L2_flux_error/L2_norm*100)\n", "#L2_norm = norm(u_exact_V, 'L2')\n", "#L2_norm2 = norm(u_exact, 'L2', mesh)\n", "#L2_norm3 = norm(u_exact_P, 'L2')\n", "#print(L2_norm, L2_norm2, L2_norm3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solving the Example 8.3 problem from Fish and Belytschko using subdomains" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Importing libraries\n", "from dolfin import *\n", "from mshr import *\n", "\n", "# Generating geometry\n", "ret = Rectangle(Point(0,0), Point(2,1))\n", "circ = Circle(Point(0.5,1),0.15)\n", "tri = Polygon([Point(0,0), Point(2, 0), Point(2, 0.5)])\n", "\n", "# Define domain and resolution\n", "domain = ret - tri\n", "res = 30\n", "\n", "# Generate mesh\n", "%matplotlib inline\n", "mesh = generate_mesh(domain, res)\n", "plot(mesh)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Create classes for defining parts of the boundaries and the interior\n", "# of the domain\n", "class Right(SubDomain):\n", " def inside(self, x, on_boundary):\n", " return 2 - x[0] < DOLFIN_EPS\n", " \n", "class Top(SubDomain):\n", " def inside(self, x, on_boundary):\n", " return 1 - x[1] < DOLFIN_EPS\n", "\n", "class Dboundary(SubDomain):\n", " def inside(self, x, on_boundary):\n", " return x[0] < DOLFIN_EPS or x[1] - 0.25*x[0] < DOLFIN_EPS\n", "\n", "# Initialize sub-domain instances\n", "top = Top()\n", "right = Right()\n", "D_BC = Dboundary()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Initialize mesh function for boundary domains\n", "boundaries = MeshFunction('size_t', mesh, 1)\n", "boundaries.set_all(0)\n", "top.mark(boundaries, 1)\n", "right.mark(boundaries, 2)\n", "D_BC.mark(boundaries, 3)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Define input data\n", "s = Constant(5.0)\n", "tb = Constant(0.0)\n", "q1 = Constant(20.0)\n", "q2 = Constant(0.0)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Define function space and basis functions\n", "V = FunctionSpace(mesh, \"CG\", 2)\n", "u = TrialFunction(V)\n", "v = TestFunction(V)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Define Dirichlet boundary conditions at top and bottom boundaries\n", "bcs = DirichletBC(V, tb, boundaries, 3)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Define new measures associated with the exterior boundaries\n", "ds = Measure('ds', subdomain_data=boundaries)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Define variational form\n", "L = -q1*v*ds(1) - q2*v*ds(2) - s*v*dx \n", "a = inner(grad(u), grad(v))*dx \n", "\n", "# Solve problem\n", "u = Function(V)\n", "solve(a == L, u, bcs)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "plot(u)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "x = np.linspace(0, 1, 100)\n", "T = np.zeros(len(x))\n", "i = 0\n", "for X in x:\n", " #Y = X/4.\n", " Y = 0.7\n", " T[i] = u(X, Y)\n", " i = i + 1\n", " \n", "import matplotlib.pyplot as plt\n", "plt.plot(x, T)\n", "plt.xlabel('x')\n", "plt.ylabel('Temperature')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Get the flux\n", "V = u.function_space()\n", "mesh = V.mesh()\n", "degree = V.ufl_element().degree()\n", "W = VectorFunctionSpace(mesh, 'P', degree)\n", "grad_u = project(grad(u), W)\n", "flux_u = project(-grad(u), W)\n", "\n", "plot(flux_u, title='flux field')\n", "flux_x, flux_y = flux_u.split(deepcopy=True) # extract components\n", "#file << flux_x\n", "#file << flux_y\n", "plot(flux_x, title='x-component of flux (-kappa*grad(u))')\n", "plot(flux_y, title='y-component of flux (-kappa*grad(u))')\n", "plot(flux_u)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "x = np.linspace(0, 2, 100)\n", "Y = 1\n", "jy = np.zeros(len(x))\n", "i = 0\n", "for X in x:\n", " #Y = X/4.\n", " jy[i] = flux_y(X, Y)\n", " i = i + 1\n", " \n", "import matplotlib.pyplot as plt\n", "plt.plot(x, jy)\n", "plt.xlabel('x')\n", "plt.ylabel('Flux Y') " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "y = np.linspace(0.5, 1, 50)\n", "X = 2\n", "jx = np.zeros(len(y))\n", "i = 0\n", "for Y in y:\n", " #Y = X/4.\n", " jx[i] = flux_x(X, Y)\n", " i = i + 1\n", " \n", "import matplotlib.pyplot as plt\n", "plt.plot(y, jx)\n", "plt.xlabel('y')\n", "plt.ylabel('Flux X') " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting on a donut" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from fenics import *\n", "from mshr import *\n", "%config InlineBackend.figure_format='retina'\n", "\n", "from matplotlib import pyplot as plt\n", "import sys\n", "\n", "r0 = 0.7\n", "r1 = 1.0\n", "Nr = 5\n", "\n", "mesh=generate_mesh(Circle(Point(0,0),r1)-Circle(Point(0,0),r0), Nr)\n", "V = FunctionSpace(mesh, \"DG\",0)\n", "Vvec = VectorFunctionSpace(mesh, \"DG\",0)\n", "xmesh = V.tabulate_dof_coordinates()[:,0]\n", "ymesh = V.tabulate_dof_coordinates()[:,1]\n", "\n", "rvec = Expression((\"x[0]/sqrt(x[0]*x[0]+x[1]*x[1])\",\n", " \"x[1]/sqrt(x[0]*x[0]+x[1]*x[1])\"),element = Vvec.ufl_element())\n", "r_project = np.reshape( project(rvec, Vvec).vector()[:],(47,2))\n", "r_direct = np.asarray([[x/np.sqrt(x**2+y**2),y/np.sqrt(x**2+y**2)] for x,y in zip(xmesh,ymesh)])\n", "plot(mesh)\n", "plt.scatter(xmesh,ymesh)\n", "plt.quiver(xmesh, ymesh, r_project[:,0], r_project[:,1],label=\"Projection\")\n", "plt.quiver(xmesh, ymesh, r_direct[:,0], r_direct[:,1],label=\"Manual\",color='r',pivot='tip')\n", "plot(project(rvec, Vvec))\n", "plt.legend()\n", "plt.savefig(\"donut.png\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Patch test for FEA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The patch test is done for the simple mesh created as below. To create your own mesh do the following." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "import dolfin as df\n", "import matplotlib.pyplot as plt\n", "import mshr\n", "\n", "%matplotlib inline\n", "mesh = df.Mesh()\n", "editor = df.MeshEditor()\n", "editor.open(mesh, 'triangle', 2, 2)\n", "editor.init_vertices(5)\n", "editor.init_cells(4)" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "# add vertices\n", "editor.add_vertex(0, np.array([0.0, 0.0]))\n", "editor.add_vertex(1, np.array([1.0, 0.0]))\n", "editor.add_vertex(2, np.array([0.75, 0.25]))\n", "editor.add_vertex(3, np.array([1.0, 1.0]))\n", "editor.add_vertex(4, np.array([0.0, 1.0]))" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "# add cells\n", "editor.add_cell(0, np.array([0, 1, 2], dtype=np.uintp))\n", "editor.add_cell(1, np.array([2, 1, 3], dtype=np.uintp))\n", "editor.add_cell(2, np.array([2, 3, 4], dtype=np.uintp))\n", "editor.add_cell(3, np.array([2, 4, 0], dtype=np.uintp))" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ]" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# final formalities\n", "editor.close()\n", "mesh.order\n", "df.plot(mesh)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define Laplace equation. The exact solution is:\n", "\n", "$$\\theta = \\alpha_0 + \\alpha_1 x + \\alpha_2 y$$,\n", "\n", "we define $\\alpha_0 = 1, \\alpha_1 = 2, \\alpha_2 = 3$" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "L2_error is = 3.624438086253896e-16\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "V = FunctionSpace(mesh, 'P', 1)\n", "\n", "# The exact solution\n", "u_D = Expression('a0 + a1*x[0] + a2*x[1]', a0 = 1, \\\n", " a1 = 2, a2 = 3, degree=1)\n", "\n", "# Define boundary condition\n", "def boundary(x, on_boundary):\n", " return on_boundary\n", "\n", "bc = DirichletBC(V, u_D, boundary)\n", "\n", "# Define variational problem\n", "u = TrialFunction(V)\n", "v = TestFunction(V)\n", "f = Constant(0.0)\n", "a = dot(grad(u), grad(v))*dx\n", "L = f*v*dx\n", "\n", "# Compute solution\n", "u = Function(V)\n", "solve(a == L, u, bc)\n", "\n", "# Plot solution and mesh\n", "c = plot(u)\n", "plt.colorbar(c)\n", "#plot(mesh)\n", "\n", "print(\"L2_error is = \", errornorm(u_D, u, 'L2'))" ] }, { "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": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 2 }