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Fluid Structure Interaction Example #166

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345 changes: 345 additions & 0 deletions examples/Fluid_Structure_Interaction/Fluid_Structure_Interaction.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"id": "under-sierra",
"metadata": {},
"source": [
"# Fluid Structure Interaction with SpatialPy"
]
},
{
"cell_type": "markdown",
"id": "absolute-stamp",
"metadata": {},
"source": [
"## Definition of the model"
]
},
{
"cell_type": "markdown",
"id": "caroline-collective",
"metadata": {},
"source": [
"### Imports and definitions"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "promotional-profile",
"metadata": {},
"outputs": [],
"source": [
"import os\n",
"import sys\n",
"sys.path.insert(1, \"../..\")\n",
"import math\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import spatialpy"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "matched-batch",
"metadata": {},
"outputs": [],
"source": [
"class Density(spatialpy.BoundaryCondition):\n",
" def __init__(self, rhoF, rhoB):\n",
" self.rhoF = rhoF\n",
" self.rhoB = rhoB\n",
" \n",
" def expression(self):\n",
" bcstr = \"if(me->type == 1 || me->type == 3){\"\n",
" bcstr += f\"me->rho = {self.rhoF};\"\n",
" bcstr += \"}\"\n",
" bcstr += \"if(me->type == 2){\"\n",
" bcstr += f\"me->rho = {self.rhoB};\"\n",
" bcstr += \"}\"\n",
" return bcstr"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "biblical-parallel",
"metadata": {},
"outputs": [],
"source": [
"class Teleport(spatialpy.BoundaryCondition):\n",
" def __init__(self, nu, v0):\n",
" self.nu = nu\n",
" self.v0 = v0\n",
" \n",
" def expression(self):\n",
" bcstr = \"if(me->x[0] > system->xhi || me->x[0] < system->xlo){\"\n",
" bcstr += \"me->x[0] = system->xlo + 1e-6;\"\n",
" bcstr += f\"me->v[0] = {self.v0};\"\n",
" bcstr += f\"me->nu = {self.nu};\"\n",
" bcstr += \"}\"\n",
" bcstr += \"if(me->x[1] > system->yhi){\"\n",
" bcstr += \"me->v[1]= 0.0;\"\n",
" bcstr += \"me->x[1]= 99e-6;\"\n",
" bcstr += \"}\"\n",
" bcstr += \"if(me->x[1] < system->ylo){\"\n",
" bcstr += \"me->v[1]= 0.0;\"\n",
" bcstr += \"me->x[1]= 1e-6;\"\n",
" bcstr += \"}\"\n",
" bcstr += \"me->x[2] = 0;\"\n",
" return bcstr"
]
},
{
"cell_type": "markdown",
"id": "direct-tutorial",
"metadata": {},
"source": [
"### Model"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "emerging-government",
"metadata": {},
"outputs": [],
"source": [
"class FluidStructureInteraction(spatialpy.Model):\n",
" FLUID = 1\n",
" WALLS = 2\n",
" BEAM = 3\n",
" \n",
" def __init__(self, model_name=\"Fluid Structure Interaction\", Ra=1e4):\n",
" spatialpy.Model.__init__(self, model_name)\n",
" \n",
" # System Constants\n",
" Lxint = 300e-6\n",
" Lyint = 100e-6\n",
" Lbzint = -50e-6\n",
" Nwall = 3\n",
" rhof0 = 1000 # Density of fluid\n",
" rhob0 = 7850 # Density of beam\n",
" nu = 1e-3 # Inlet viscosity\n",
" v0 = 0.0333 # Inlet velocity\n",
" Pratio = 0.33 # Poisson's Ratio\n",
" E = 2e5 # Young's modulus\n",
" G = E/(2*(1+Pratio)) # Shear Modulus\n",
" K = E/(3*(1-2*Pratio)) # Bulk Modulus\n",
" cb0 = math.sqrt(K/Pratio) # Artificial speed of sound of beam\n",
" cf0 = 10*v0 # Artificial speed of sound of fluid\n",
" \n",
" # Discretization\n",
" Npx = 60\n",
" \n",
" # Compute Domain Bounds\n",
" deltaf = Lyint/Npx\n",
" deltab = 0.6*deltaf\n",
" Wthick = Nwall*deltaf\n",
" Lx = Lxint-Lbzint\n",
" Ly = Lyint+2*Wthick\n",
" yminint = 0.0\n",
" ymaxint = Lyint\n",
" ymin = yminb = -Wthick\n",
" ymax = Lyint+Wthick\n",
" xminb = 100e-6\n",
" xmaxb = 105e-6\n",
" ymaxb = 50e-6\n",
" cy = Lyint/2\n",
" \n",
" # Compute Volume and Mass per Particle\n",
" vol = Lx*Ly\n",
" Wvol = 2*Wthick*Lx\n",
" Fvol = (xmaxb-xminb)*(ymaxb-yminb)\n",
" Bvol = vol-Wvol-Fvol\n",
" mPFP = (Fvol*rhof0)/(Npx*((0-(-50e-6))/deltaf))\n",
" mPBP = (Bvol*rhob0)/(((xmaxb-xminb)/deltab)*((ymaxb-ymin+deltab)/deltab))\n",
" \n",
" # Domain\n",
" eps = 1e-12\n",
" h = 3*deltaf\n",
" \n",
" domain = spatialpy.Domain(\n",
" 0, xlim=(Lbzint, Lxint), ylim=(ymin, ymax), zlim=(0,0), gravity=[0, -1, 0]\n",
" )\n",
" # Fluid and Wall Regions\n",
" for x in np.arange(Lbzint, Lxint, deltaf):\n",
" # Fluid Region\n",
" for y in np.arange(yminint, ymaxint, deltaf):\n",
" if x < 0:\n",
" domain.add_point(\n",
" [x, y, 0], type=self.FLUID, vol=Fvol, mass=mPFP, nu=nu, fixed=False\n",
" )\n",
" # Top Wall Region\n",
" for y in np.arange(ymin, yminint, deltaf):\n",
" domain.add_point(\n",
" [x, y, 0], type=self.WALLS, vol=Wvol, mass=mPFP, nu=nu, fixed=True\n",
" )\n",
" # Bottom Wall Region\n",
" for y in np.arange(ymaxint, ymax, deltaf):\n",
" domain.add_point(\n",
" [x, y, 0], type=self.WALLS, vol=Wvol, mass=mPFP, nu=nu, fixed=True\n",
" )\n",
" # Beam Region\n",
" for x in np.arange(xminb, xmaxb, deltab):\n",
" for y in np.arange(ymin, ymaxb, deltab):\n",
" domain.add_point(\n",
" [x, y, 0], type=self.BEAM, vol=Bvol, mass=mPBP, nu=nu, fixed=False\n",
" )\n",
" domain.dimensions = 2\n",
" self.add_domain(domain)\n",
" \n",
" # Static Domain\n",
" self.staticDomain = False\n",
" \n",
" # Boundary Conditions\n",
" self.add_boundary_condition(Density(rhof0, rhob0))\n",
" self.add_boundary_condition(Teleport(nu, v0))\n",
" \n",
" # Timespan\n",
" dt = 1e-8\n",
" nt = 1000000000\n",
" freq_results = 10000\n",
" self.timespan(np.arange(0, nt*dt+dt, freq_results*dt), timestep_size=dt)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "progressive-secretary",
"metadata": {},
"outputs": [],
"source": [
"model = FluidStructureInteraction()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "liable-swaziland",
"metadata": {},
"outputs": [],
"source": [
"model.domain.plot_types()"
]
},
{
"cell_type": "markdown",
"id": "american-simulation",
"metadata": {},
"source": [
"## Running model and processing the results"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "technological-gallery",
"metadata": {},
"outputs": [],
"source": [
"from spatialpy import Solver\n",
"solver = Solver(model=model, debug_level=0)\n",
"%time solver.compile()\n",
"print(solver.build_dir)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "modular-roller",
"metadata": {},
"outputs": [],
"source": [
"%time results = solver.run()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "lesbian-timothy",
"metadata": {},
"outputs": [],
"source": [
"results.plot_property(\"type\",t_ndx=0)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "homeless-cooler",
"metadata": {},
"outputs": [],
"source": [
"results.plot_property(\"type\",t_ndx=1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "fundamental-rhythm",
"metadata": {},
"outputs": [],
"source": [
"#results.plot_property(\"type\", animated=True)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "certified-condition",
"metadata": {},
"outputs": [],
"source": [
"points, properties = results.read_step(2)\n",
"for i, point in enumerate(points):\n",
" if properties['type'][i] == 1:\n",
" print(point)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "superior-conditioning",
"metadata": {},
"outputs": [],
"source": [
"print(model.domain.xlim)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "disturbed-proposition",
"metadata": {},
"outputs": [],
"source": [
"print(model.domain.ylim)"
]
}
],
"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": "3.9.2"
}
},
"nbformat": 4,
"nbformat_minor": 5
}