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@jmansour
Last active July 12, 2019 09:43
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FROM underworldcode/underworld2:2.7.1b
COPY dual_system.ipynb $NB_WORK
Display the source blob
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Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import underworld as uw\n",
"import underworld.function as fn\n",
"import glucifer"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"mesh = uw.mesh.FeMesh_Cartesian(elementRes=(32,32))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"vel = mesh.add_variable(2)\n",
"pre = mesh.subMesh.add_variable(1)\n",
"vel.data[:] =0."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"all_walls = mesh.specialSets[\"AllWalls_VertexSet\"]\n",
"bc1 = uw.conditions.DirichletCondition(vel,[all_walls,all_walls])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"force = (0.,0.)\n",
"vel.data[mesh.specialSets[ \"Top_VertexSet\"]] = (-1.,0.)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"visc = 1. + fn.math.abs(vel[0])"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"sys1 = uw.systems.Stokes(vel,pre,visc,force,conditions=bc1)\n",
"sol1 = uw.systems.Solver(sys1)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"fig = glucifer.Figure()\n",
"fig.append(glucifer.objects.Surface(mesh,fn.math.dot(vel,vel)))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"all_walls_add_one = mesh.specialSets[\"AllWalls_VertexSet\"]\n",
"all_walls_add_one.add(100)\n",
"bc2 = uw.conditions.DirichletCondition(vel,[all_walls_add_one,all_walls_add_one])\n",
"sys2 = uw.systems.Stokes(vel,pre,visc,force,conditions=bc2)\n",
"sol2 = uw.systems.Solver(sys2)\n",
"vel.data[100] = [-1.,0.]"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
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'>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sol2.solve(nonLinearIterate=True)\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<img 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'>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sol1.solve(nonLinearIterate=True)\n",
"fig.show()"
]
},
{
"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": "3.5.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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