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@jhale
Created July 13, 2017 11:04
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python3.5/dist-packages/matplotlib/__init__.py:1405: UserWarning: \n",
"This call to matplotlib.use() has no effect because the backend has already\n",
"been chosen; matplotlib.use() must be called *before* pylab, matplotlib.pyplot,\n",
"or matplotlib.backends is imported for the first time.\n",
"\n",
" warnings.warn(_use_error_msg)\n"
]
},
{
"data": {
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DZ62qa6vqgf7dA/Su6ZiUNp9bgHfQ+9mVn45zuEXazHoRsLeq7gGoqrvHPOOgNvMWcFL/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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f128e2fdeb8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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HyoSvu7dbETHVjrGujGtclSoQdnwyFEOgizhDccLgIkY0SmgLF2K5xDxXPrYG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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f128b55eda0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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BY68VM/1mrjI8LbCwE6x649ki5xCa3SlaXwFwfCALOCAcHS7gMEUYjIU5Axid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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f128b126048>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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LIVydZld1dTx03mKPNXU0Hm6AypeDMGXmHuy8gyvnkCcRqfeAPMkqCgX9nHkrQzGO4fXA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\nasHQqlWrDbVgaNWq1Yb+PxXXNoi/pUjdAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f128b0c5e10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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cqbKibVGZX5ai1oG2AkwgXD8acDiKlgc/POovjn3jDKe3R1zvR6DY395hv39qCRBaNiDq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\n6pdTx+kg4H/8a/8MSA5v192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JU2YK9nybNVbDpaKQyJIdv7ATrpZ7Q5LWRV6wLC0O4XIV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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f128aff8198>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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6t7XTLFsjMQ+KCPKlKepaFuUtu57MkogA/IqXm1f+IOJYBDCzCrzvB1kH7nY+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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f128af1eda0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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WUajLjSiDr3/54zNxi84IOrY3HdzYtriwN2DTHnnzNvi5DZplujDDLHrCRwnI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\nwtDS0jLH/w/TrMRlsPIEzwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f128aec4710>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Dg0t4cHAJu+MNvm1dzLeti2cClkoowkzjqIaZZM5GXLJqD3E7VVbuZx4c+DyGKgS+kpLk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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f128adde9b0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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3h2mT38W92wehxwe86EKgvwd/QfBzGcJEYbhgTU2D3su4S9DrAgFwghUAlu3u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\n1MJQU1Mzw/8HEjOcn4XTpgYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f128ad88470>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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oeP0BWgia54Xh/KRVMHQUzZ67PUocooYY3bSDhSBwPUYtAt7ttTgkRjssvXjf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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f128acb7eb8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x7f128abe4358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# %load demo_advection-diffusion.py\n",
"# Copyright (C) 2007 Kristian B. Oelgaard\n",
"#\n",
"# This file is part of DOLFIN.\n",
"#\n",
"# DOLFIN is free software: you can redistribute it and/or modify\n",
"# it under the terms of the GNU Lesser General Public License as published by\n",
"# the Free Software Foundation, either version 3 of the License, or\n",
"# (at your option) any later version.\n",
"#\n",
"# DOLFIN is distributed in the hope that it will be useful,\n",
"# but WITHOUT ANY WARRANTY; without even the implied warranty of\n",
"# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the\n",
"# GNU Lesser General Public License for more details.\n",
"#\n",
"# You should have received a copy of the GNU Lesser General Public License\n",
"# along with DOLFIN. If not, see <http://www.gnu.org/licenses/>.\n",
"#\n",
"# Modified by Anders Logg, 2008\n",
"# Modified by Johan Hake, 2008\n",
"# Modified by Garth N. Wells, 2009\n",
"#\n",
"# This demo solves the time-dependent convection-diffusion equation by\n",
"# a SUPG stabilized method. The velocity field used in the simulation\n",
"# is the output from the Stokes (Taylor-Hood) demo. The sub domains\n",
"# for the different boundary conditions are computed by the demo\n",
"# program in src/demo/subdomains.\n",
"\n",
"from dolfin import *\n",
"import matplotlib.pyplot as plt\n",
"\n",
"def boundary_value(n):\n",
" if n < 10:\n",
" return float(n)/10.0\n",
" else:\n",
" return 1.0\n",
"\n",
"# Load mesh and subdomains\n",
"mesh = Mesh(\"../dolfin_fine.xml.gz\")\n",
"sub_domains = MeshFunction(\"size_t\", mesh, \"../dolfin_fine_subdomains.xml.gz\");\n",
"h = CellSize(mesh)\n",
"\n",
"# Create FunctionSpaces\n",
"Q = FunctionSpace(mesh, \"CG\", 1)\n",
"V = VectorFunctionSpace(mesh, \"CG\", 2)\n",
"\n",
"# Create velocity Function from file\n",
"velocity = Function(V);\n",
"File(\"../dolfin_fine_velocity.xml.gz\") >> velocity\n",
"\n",
"# Initialise source function and previous solution function\n",
"f = Constant(0.0)\n",
"u0 = Function(Q)\n",
"\n",
"# Parameters\n",
"T = 5.0\n",
"dt = 0.1\n",
"t = dt\n",
"c = 0.00005\n",
"\n",
"# Test and trial functions\n",
"u, v = TrialFunction(Q), TestFunction(Q)\n",
"\n",
"# Mid-point solution\n",
"u_mid = 0.5*(u0 + u)\n",
"\n",
"# Residual\n",
"r = u - u0 + dt*(dot(velocity, grad(u_mid)) - c*div(grad(u_mid)) - f)\n",
"\n",
"# Galerkin variational problem\n",
"F = v*(u - u0)*dx + dt*(v*dot(velocity, grad(u_mid))*dx \\\n",
" + c*dot(grad(v), grad(u_mid))*dx)\n",
"\n",
"# Add SUPG stabilisation terms\n",
"vnorm = sqrt(dot(velocity, velocity))\n",
"F += (h/(2.0*vnorm))*dot(velocity, grad(v))*r*dx\n",
"\n",
"# Create bilinear and linear forms\n",
"a = lhs(F)\n",
"L = rhs(F)\n",
"\n",
"# Set up boundary condition\n",
"g = Constant(boundary_value(0))\n",
"bc = DirichletBC(Q, g, sub_domains, 1)\n",
"\n",
"# Assemble matrix\n",
"A = assemble(a)\n",
"bc.apply(A)\n",
"\n",
"# Create linear solver and factorize matrix\n",
"solver = LUSolver(A)\n",
"solver.parameters[\"reuse_factorization\"] = True\n",
"\n",
"# Output file\n",
"out_file = File(\"results/temperature.pvd\")\n",
"\n",
"# Set intial condition\n",
"u = u0\n",
"\n",
"# Time-stepping, plot initial condition.\n",
"i = 0\n",
"plt.figure()\n",
"plot(u, title=r\"t = {0:1.1f}\".format(0.0))\n",
"i += 1 \n",
"\n",
"while t - T < DOLFIN_EPS:\n",
" # Assemble vector and apply boundary conditions\n",
" b = assemble(L)\n",
" bc.apply(b)\n",
"\n",
" # Solve the linear system (re-use the already factorized matrix A)\n",
" solver.solve(u.vector(), b)\n",
"\n",
" # Copy solution from previous interval\n",
" u0 = u\n",
"\n",
" # Plot solution\n",
" if i % 5 == 0: \n",
" plt.figure()\n",
" plot(u, title=r\"t = {0:1.1f}\".format(t))\n",
"\n",
" # Save the solution to file\n",
" out_file << (u, t)\n",
"\n",
" # Move to next interval and adjust boundary condition\n",
" t += dt\n",
" i += 1\n",
" g.assign(boundary_value(int(t/dt)))\n",
"\n",
"plt.show()\n"
]
},
{
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"execution_count": null,
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"source": []
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