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Geometry.HideCompounds = 1; | ||
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Mesh.CharacteristicLengthFactor = <<Meshsize>> ;// Fine | ||
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Mesh.Algorithm = 6; // (1=MeshAdapt, 2=Automatic, 5=Delaunay, 6=Frontal, 7=bamg, 8=delquad) (Default=2) | ||
Mesh.RecombineAll = 0; | ||
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Mesh.RemeshAlgorithm = 1; // (0=no split, 1=automatic, 2=automatic only with metis) (Default=0) | ||
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Mesh.RemeshParametrization = 7; // (0=harmonic_circle, 1=conformal_spectral, 2=rbf, 3=harmonic_plane, 4=convex_circle, 5=convex_plane, 6=harmonic square, 7=conformal_fe) (Default=4) | ||
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Mesh.Algorithm3D = 4; // (1=Delaunay, 4=Frontal, 5=Frontal Delaunay, 6=Frontal Hex, 7=MMG3D, 9=R-tree) (Default=1) | ||
Mesh.Recombine3DAll = 0; | ||
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Mesh.Optimize = 1; | ||
Mesh.OptimizeNetgen = 1; | ||
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Mesh.Smoothing = 0; | ||
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Merge <<LVfilename>>; | ||
Merge <<RVfilename>>; | ||
Merge <<Epifilename>>; | ||
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CreateTopology; | ||
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ll[] = Line "*"; | ||
L_LV_base = newl; Compound Line(L_LV_base) = ll[2]; | ||
L_RV_base = newl; Compound Line(L_RV_base) = ll[0]; | ||
L_epi_base = newl; Compound Line(L_epi_base) = ll[1]; | ||
// Physical Line("EPI_BASE") = {L_epi_base}; | ||
//Physical Line(0) = {L_epi_base}; | ||
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ss[] = Surface "*"; | ||
S_LV = news; Compound Surface(S_LV) = ss[0]; | ||
S_RV = news; Compound Surface(S_RV) = ss[1]; | ||
S_epi = news; Compound Surface(S_epi) = ss[2]; | ||
// Physical Surface("LV") = {S_LV}; | ||
// Physical Surface("RV") = {S_RV}; | ||
// Physical Surface("epi") = {S_epi}; | ||
//Physical Surface(3) = {S_epi}; | ||
//Physical Surface(1) = {S_RV}; | ||
//Physical Surface(2) = {S_LV}; | ||
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LL_base = newll; Line Loop(LL_base) = {L_LV_base, L_RV_base, L_epi_base}; | ||
S_base = news; Plane Surface(S_base) = {LL_base}; | ||
// Physical Surface("BASE") = {S_base}; | ||
//Physical Surface(4) = {S_base}; | ||
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SL_wall = newsl; Surface Loop(SL_wall) = {S_LV, S_RV, S_epi, S_base}; | ||
V_wall = newv; Volume(V_wall) = {SL_wall}; | ||
//Physical Volume("WALL") = {V_wall}; | ||
Physical Volume(0) = {V_wall}; | ||
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######################################################################## | ||
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import sys | ||
import vtk | ||
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######################################################################## | ||
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def CreateVertexFromPoint(ugrid): | ||
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vertices = vtk.vtkCellArray() | ||
for p in range(ugrid.GetNumberOfPoints()): | ||
vert = vtk.vtkVertex() | ||
vert.GetPointIds().SetId(0, p) | ||
vertices.InsertNextCell(vert) | ||
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ugrid.SetCells(1, vertices) | ||
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Geometry.HideCompounds = 1; | ||
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Mesh.CharacteristicLengthFactor = <<mesh_d>>; // Coarse | ||
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Mesh.Algorithm = 6; // (1=MeshAdapt, 2=Automatic, 5=Delaunay, 6=Frontal, 7=bamg, 8=delquad) (Default=2) | ||
Mesh.RecombineAll = 0; | ||
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Mesh.RemeshAlgorithm = 1; // (0=no split, 1=automatic, 2=automatic only with metis) (Default=0) | ||
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Mesh.RemeshParametrization = 7; // (0=harmonic_circle, 1=conformal_spectral, 2=rbf, 3=harmonic_plane, 4=convex_circle, 5=convex_plane, 6=harmonic square, 7=conformal_fe) (Default=4) | ||
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Mesh.Algorithm3D = 4; // (1=Delaunay, 4=Frontal, 5=Frontal Delaunay, 6=Frontal Hex, 7=MMG3D, 9=R-tree) (Default=1) | ||
Mesh.Recombine3DAll = 0; | ||
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Mesh.Optimize = 1; | ||
Mesh.OptimizeNetgen = 1; | ||
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Mesh.Smoothing = 0; | ||
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Merge "<<Endofilename>>"; | ||
Merge "<<Epifilename>>"; | ||
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CreateTopology; | ||
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ll[] = Line "*"; | ||
L_LV_base = newl; Compound Line(L_LV_base) = ll[1]; | ||
L_epi_base = newl; Compound Line(L_epi_base) = ll[0]; | ||
//Physical Line("EPI_BASE") = {L_epi_base}; | ||
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ss[] = Surface "*"; | ||
S_LV = news; Compound Surface(S_LV) = ss[0]; | ||
S_epi = news; Compound Surface(S_epi) = ss[1]; | ||
Physical Surface("LV") = {S_LV}; | ||
Physical Surface("epi") = {S_epi}; | ||
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LL_base = newll; Line Loop(LL_base) = {L_LV_base, L_epi_base}; | ||
S_base = news; Plane Surface(S_base) = {LL_base}; | ||
Physical Surface("BASE") = {S_base}; | ||
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SL_wall = newsl; Surface Loop(SL_wall) = {S_LV, S_epi, S_base}; | ||
V_wall = newv; Volume(V_wall) = {SL_wall}; | ||
Physical Volume("WALL") = {V_wall}; | ||
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// | ||
//// P1 = newp; Point(P1) = {36., 74., 70.}; | ||
//// Field[1] = Attractor; | ||
//// Field[1].NodesList = {P1}; | ||
//// Field[2] = Threshold; | ||
//// Field[2].IField = 1; | ||
//// Field[2].LcMin = 100.; | ||
//// Field[2].LcMax = 100.; | ||
//// Field[2].DistMin = 0.; | ||
//// Field[2].DistMax = 10.; | ||
//// Background Field = 2; | ||
// | ||
//// Field[1] = Box; | ||
//// Field[1].VIn = 5.; | ||
//// Field[1].VOut = 5.; | ||
//// Field[1].XMin = 30.; | ||
//// Field[1].XMax = 40.; | ||
//// Field[1].YMin = 70.; | ||
//// Field[1].YMax = 80.; | ||
//// Field[1].ZMin = 69.; | ||
//// Field[1].ZMax = 71.; | ||
//// Background Field = 1; | ||
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Geometry.HideCompounds = 1; | ||
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Mesh.CharacteristicLengthFactor = <<mesh_d>>; // Coarse | ||
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Mesh.Algorithm = 6; // (1=MeshAdapt, 2=Automatic, 5=Delaunay, 6=Frontal, 7=bamg, 8=delquad) (Default=2) | ||
Mesh.RecombineAll = 0; | ||
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Mesh.RemeshAlgorithm = 1; // (0=no split, 1=automatic, 2=automatic only with metis) (Default=0) | ||
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Mesh.RemeshParametrization = 7; // (0=harmonic_circle, 1=conformal_spectral, 2=rbf, 3=harmonic_plane, 4=convex_circle, 5=convex_plane, 6=harmonic square, 7=conformal_fe) (Default=4) | ||
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Mesh.Algorithm3D = 4; // (1=Delaunay, 4=Frontal, 5=Frontal Delaunay, 6=Frontal Hex, 7=MMG3D, 9=R-tree) (Default=1) | ||
Mesh.Recombine3DAll = 0; | ||
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Mesh.Optimize = 1; | ||
Mesh.OptimizeNetgen = 1; | ||
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Mesh.Smoothing = 0; | ||
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Merge "<<Endofilename>>"; | ||
Merge "<<Epifilename>>"; | ||
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CreateTopology; | ||
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ll[] = Line "*"; | ||
L_LV_base = newl; Compound Line(L_LV_base) = ll[1]; | ||
L_epi_base = newl; Compound Line(L_epi_base) = ll[0]; | ||
//Physical Line("EPI_BASE") = {L_epi_base}; | ||
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ss[] = Surface "*"; | ||
S_LV = news; Compound Surface(S_LV) = ss[0]; | ||
S_epi = news; Compound Surface(S_epi) = ss[1]; | ||
Physical Surface("LV") = {S_LV}; | ||
Physical Surface("epi") = {S_epi}; | ||
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LL_base = newll; Line Loop(LL_base) = {L_LV_base, L_epi_base}; | ||
S_base = news; Plane Surface(S_base) = {LL_base}; | ||
Physical Surface("BASE") = {S_base}; | ||
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SL_wall = newsl; Surface Loop(SL_wall) = {S_LV, S_epi, S_base}; | ||
V_wall = newv; Volume(V_wall) = {SL_wall}; | ||
Physical Volume("WALL") = {V_wall}; | ||
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// | ||
//// P1 = newp; Point(P1) = {36., 74., 70.}; | ||
//// Field[1] = Attractor; | ||
//// Field[1].NodesList = {P1}; | ||
//// Field[2] = Threshold; | ||
//// Field[2].IField = 1; | ||
//// Field[2].LcMin = 100.; | ||
//// Field[2].LcMax = 100.; | ||
//// Field[2].DistMin = 0.; | ||
//// Field[2].DistMax = 10.; | ||
//// Background Field = 2; | ||
// | ||
//// Field[1] = Box; | ||
//// Field[1].VIn = 5.; | ||
//// Field[1].VOut = 5.; | ||
//// Field[1].XMin = 30.; | ||
//// Field[1].XMax = 40.; | ||
//// Field[1].YMin = 70.; | ||
//// Field[1].YMax = 80.; | ||
//// Field[1].ZMin = 69.; | ||
//// Field[1].ZMax = 71.; | ||
//// Background Field = 1; | ||
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######################################################################## | ||
import argparse | ||
import numpy as np | ||
from dolfin import * | ||
import math | ||
######################################################################## | ||
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def Set4ChamberDirection(mesh, outfilename, apexC, apexR, basalC, basalN, outdirectory="./"): | ||
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def BCbase(x, on_boundary): | ||
basalNorm = np.linalg.norm(basalN) | ||
basalNN = 1.0/basalNorm*np.array(basalN) | ||
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return (x[0] - basalC[0])*basalNN[0] + (x[1] - basalC[1])*basalNN[1] < DOLFIN_EPS and on_boundary | ||
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def BCapex(x, on_boundary): | ||
return (x[0] - apexC[0])**2 + (x[1] - apexC[1])**2 < apexR[0]**2 and on_boundary | ||
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V = FunctionSpace(mesh, 'Lagrange', 1) | ||
u0 = Constant(1.0) | ||
u1 = Constant(0.0) | ||
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bc =[DirichletBC(V, u1, BCapex), DirichletBC(V, u0, BCbase)] | ||
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# Define variational problem | ||
u = TrialFunction(V) | ||
v = TestFunction(V) | ||
f = Constant(0) | ||
a = inner(nabla_grad(u), nabla_grad(v))*dx | ||
L = f*v*dx | ||
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# Compute solution | ||
u = Function(V) | ||
solve(a == L, u, bc) | ||
u_a = u.vector().array() | ||
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# Compute gradient | ||
V_g = VectorFunctionSpace(mesh, 'Lagrange', 1) | ||
v = TestFunction(V_g) | ||
w = TrialFunction(V_g) | ||
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a = inner(w, v)*dx | ||
L = inner(grad(u), v)*dx | ||
grad_u = Function(V_g) | ||
solve(a == L, grad_u) | ||
#normalize_grad_u = project(grad_u/sqrt(dot(grad_u, grad_u)), V_g) | ||
grad_u.rename('matdir', 'matdir') | ||
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#plot(normalize_grad_u, interactive=True) | ||
pvdoutfile = outdirectory+outfilename+"_matdir.pvd" | ||
file15 = File(pvdoutfile) | ||
file15 << grad_u | ||
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#plot(normalize_grad_u, interactive=True) | ||
pvdoutfile2 = outdirectory+outfilename+"_dirsoln.pvd" | ||
file16 = File(pvdoutfile2) | ||
file16 << u | ||
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