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{
"cells": [
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"\n",
"#### READ ME ###\n",
"\n",
"################ When load this in Paraview !!!!!!!!!!!! => Work the first time then bug !!!!!!!!!!!\n",
"\n",
"from __future__ import print_function\n",
"from fenics import *\n",
"from mshr import *\n",
"from dolfin import *\n",
"import matplotlib.pyplot as plt\n",
"import time\n",
"from math import *\n",
"\n",
"set_log_level(40)\n",
"\n",
"\n",
"dt = 0.01\n",
"Radius_Droplet = 5\n",
"\n",
"\n",
"mesh = generate_mesh(Circle(Point(0,0),20.0),100)\n",
"\n",
"V = FunctionSpace(mesh, 'CG', 1)\n",
"Phi_u = Function(V)\n",
"v = TestFunction(V)\n",
"\n",
"\n",
"Phi_u0 = Function(V)\n",
"Phi_tot = Function(V)\n",
"\n",
"tol = 1E-14\n",
"\n",
"\n",
"Phi_u0_int = 0.01\n",
"Phi_u0_ext = 0.05\n",
"Phi_u0_notbleach = 0.35\n",
"\n",
"Phi_u0 = interpolate(Expression('sqrt(x[1]*x[1]+x[0]*x[0]) <= Radius_Droplet && atan2(x[1],x[0]) < 0 ? Phi_u0_int : sqrt(x[1]*x[1]+x[0]*x[0]) <= Radius_Droplet && atan2(x[1],x[0]) >= 0 ? Phi_u0_notbleach : Phi_u0_ext' , degree=2,tol=tol,Phi_u0_int = Phi_u0_int,Phi_u0_ext=Phi_u0_ext, Phi_u0_notbleach = Phi_u0_notbleach, Radius_Droplet=Radius_Droplet),V)\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"Phi_tot_int = 0.35\n",
"Phi_tot_ext = 0.05\n",
"\n",
"Phi_tot = interpolate(Expression('sqrt(x[1]*x[1]+x[0]*x[0]) <= Radius_Droplet ? Phi_tot_int : Phi_tot_ext', degree=2,tol=tol,Phi_tot_int=Phi_tot_int,Phi_tot_ext=Phi_tot_ext,Radius_Droplet=Radius_Droplet),V)\n",
"\n",
"\n",
"u_D = Constant(0.05)\n",
"\n",
"def boundary(x, on_boundary):\n",
" tol = 1E-14\n",
" return on_boundary\n",
"\n",
"bc = DirichletBC(V, u_D, boundary)\n",
"\n",
"Form = (inner((Phi_u-Phi_u0)/dt, v) - inner(((1-Phi_tot)/Phi_tot)*Phi_u*grad(Phi_tot) - (1-Phi_tot)*grad(Phi_u), grad(v))) *dx\n",
"\n",
"\n",
"\n",
"vtkfile = File('Disk/Phi0.pvd')\n",
"vtkfile << Phi_u0\n",
"\n",
"\n",
"\n",
"t = 0\n",
"cFile = XDMFFile('test.xmdf')\n",
"cFile.write(Phi_u0, t)\n",
"\n",
"ti = time.time()\n",
"for i in range(200):\n",
" solve(Form == 0, Phi_u, bc)\n",
" assign(Phi_u0, Phi_u)\n",
" t += dt\n",
" cFile.write(Phi_u0, t)\n",
" print(time.time() - ti)\n",
"\n",
"cFile.close()\n",
"\n",
" \n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"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": "3.8.2"
}
},
"nbformat": 4,
"nbformat_minor": 4
}