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@dannygoldstein
Created February 16, 2016 22:13
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dedalus
{
"cells": [
{
"cell_type": "code",
"execution_count": 321,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"from dedalus import public as de\n",
"import numpy as np\n",
"\n",
"de.logging_setup.rootlogger.setLevel('ERROR')\n",
"%pylab inline"
]
},
{
"cell_type": "code",
"execution_count": 322,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Create basis and domain\n",
"x_basis = de.Chebyshev('x', 1024, interval=(0, 2 * pi), dealias=3/2)\n",
"domain = de.Domain([x_basis], np.float64)\n",
"\n",
"# Create problem\n",
"problem = de.IVP(domain, variables=['u', 'ux'])"
]
},
{
"cell_type": "code",
"execution_count": 323,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"problem.parameters['D'] = 1e-5"
]
},
{
"cell_type": "code",
"execution_count": 324,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"problem.add_equation('dt(u) - (D / x) * ((2 * x * ux) + (x**2 * dx(ux))) = 0')\n",
"problem.add_equation('dx(u) - ux = 0')\n",
"problem.add_bc('left(ux) = 0') \n",
"problem.add_bc('right(ux) = 0')"
]
},
{
"cell_type": "code",
"execution_count": 325,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2"
]
},
"execution_count": 325,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(problem.equations)"
]
},
{
"cell_type": "code",
"execution_count": 326,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"solver = problem.build_solver(de.timesteppers.RK443)"
]
},
{
"cell_type": "code",
"execution_count": 327,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"x = domain.grid(0)\n",
"u = solver.state['u']\n",
"ux = solver.state['ux']"
]
},
{
"cell_type": "code",
"execution_count": 328,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"u['g'] = np.sin(x) + 1"
]
},
{
"cell_type": "code",
"execution_count": 329,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(1024,)"
]
},
"execution_count": 329,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"u['g'].shape"
]
},
{
"cell_type": "code",
"execution_count": 330,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<Field 4903839728>"
]
},
"execution_count": 330,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"u.differentiate('x', out=ux)"
]
},
{
"cell_type": "code",
"execution_count": 331,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"solver.stop_sim_time = np.inf\n",
"solver.stop_wall_time = np.inf\n",
"solver.stop_iteration = 1000"
]
},
{
"cell_type": "code",
"execution_count": 332,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Completed iteration 100\n",
"Completed iteration 200\n",
"Completed iteration 300\n",
"Completed iteration 400\n",
"Completed iteration 500\n",
"Completed iteration 600\n",
"Completed iteration 700\n",
"Completed iteration 800\n",
"Completed iteration 900\n",
"Completed iteration 1000\n",
"Runtime: 6.455635070800781\n"
]
}
],
"source": [
"import time\n",
"\n",
"# Setup storage\n",
"u_list = [np.copy(u['g'])]\n",
"t_list = [solver.sim_time]\n",
"\n",
"# Main loop\n",
"dt = 50.\n",
"start_time = time.time()\n",
"while solver.ok:\n",
" solver.step(dt)\n",
" if solver.iteration % 5 == 0:\n",
" u_list.append(np.copy(u['g']))\n",
" t_list.append(solver.sim_time)\n",
" if solver.iteration % 100 == 0:\n",
" print('Completed iteration {}'.format(solver.iteration))\n",
"end_time = time.time()\n",
"print('Runtime:', end_time-start_time)"
]
},
{
"cell_type": "code",
"execution_count": 333,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x122ab46a0>"
]
},
"execution_count": 333,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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EELJBTuqG1GevFEo2yk1qAlWqSho7T+h6qK/rmk/pjFFPY+gppZ713GNt5XR/GONqM/ua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1Id7VVGa6roKVqKXgOnapX7UJhCahiGYRiGYZyV+1JIXVBbPIKqklUbngua8kiFJVRWTSstRKUR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\njOBPpdvsAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117bd7dd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from dedalus.extras import plot_tools\n",
"\n",
"# Convert storage to arrays\n",
"u_array = np.array(u_list)\n",
"t_array = np.array(t_list)\n",
"\n",
"# Build space and time meshes\n",
"x_da = domain.grid(0, scales=domain.dealias)\n",
"xmesh, ymesh = plot_tools.quad_mesh(x=x_da, y=t_array)\n",
"\n",
"# Plot\n",
"plt.figure(figsize=(12, 8))\n",
"plt.pcolormesh(xmesh, ymesh, u_array, cmap='RdBu_r')\n",
"plt.axis(plot_tools.pad_limits(xmesh, ymesh))\n",
"plt.colorbar()\n",
"plt.xlabel('x')\n",
"plt.ylabel('t')\n",
"plt.title('Spherical diffusion equation in 1d!')"
]
},
{
"cell_type": "code",
"execution_count": 336,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x1297bfda0>"
]
},
"execution_count": 336,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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CckueOGTVnnrUKAXhyPeoZ8ciRdmLaW8QhEK1Eyv6AxC7ptg8Dza8Rd2LN0+t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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x129733f98>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import seaborn as sns\n",
"pal = sns.color_palette(\"coolwarm\", len(u_array))\n",
"for row, c in zip(u_array, pal):\n",
" plot(x_da, row, color=c)\n",
"xlabel('x')\n",
"ylabel('concentration')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"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": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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