Creating mesh
This demo is implemented in a single Python file.
This demo illustrates how to:
Create mesh.
Use
MyMesh().
#Auxiliar modules
from module1_mesh import*
from module2_forward import*
from module3_inverse import*
from module4_auxiliar import*
import matplotlib.pyplot as plt
Defining mesh - circle
mesh_inverse, mesh_direct=MyMesh(r=1, n=8, n_vertex=201)
plt.figure(figsize=(8, 8))
plt.subplot(1,2,1)
plot(mesh_direct);
plt.subplot(1,2,2)
plot(mesh_inverse);
Defining mesh - square
mesh_square = UnitSquareMesh(18, 18);
We can define a routine basead in SubDomain class to refine only the boundary of the mesh.:
#Subdomain class to mark boundary
class boundary(SubDomain):
def inside(self, x, on_boundary):
return on_boundary
#Creating mark object.
cell_mark_ref=MeshFunction("bool", mesh_square, mesh_square.topology().dim()-1)
cell_mark_ref.set_all(False)
boundary().mark(cell_mark_ref, True)
#Refining boundary using cell_mark_ref.
mesh_square_refined=refine(mesh_square, cell_mark_ref)
plt.figure(figsize=(8, 8))
plt.subplot(1,2,1)
plot(mesh_square);
plt.subplot(1,2,2)
plot(mesh_square_refined);
Defining mesh - points
# Create list of polygonal domain vertices
domain_vertices = [Point(0.0, 0.0),
Point(10.0, 0.0),
Point(10.0, 2.0),
Point(8.0, 2.0),
Point(7.5, 1.0),
Point(2.5, 1.0),
Point(2.0, 4.0),
Point(0.0, 4.0),
Point(0.0, 0.0)]
domain = Polygon(domain_vertices)
n=30
mesh_points = generate_mesh(domain,n)
cell_mark_ref=MeshFunction("bool", mesh_points, mesh_points.topology().dim()-1)
cell_mark_ref.set_all(False)
boundary().mark(cell_mark_ref, True)
mesh_points_refined=refine(mesh_points,cell_mark_ref)
plt.figure(figsize=(16, 16))
plt.subplot(1,2,1)
plot(mesh_points);
plt.subplot(1,2,2)
plot(mesh_points_refined);
mesh_points_refined=refine(mesh_points,cell_mark_ref)
