def front_mesh_symmetric(res=0.025):
"""
Creates a donut mesh with symmetry line through y = c_y
"""
geometry = Geometry()
mesh_r = width_scale*res
c = geometry.add_point((c_x,c_y,0))
# Elliptic obstacle
p1 = geometry.add_point((c_x-r_x, c_y,0))
p2 = geometry.add_point((c_x+r_x, c_y,0))
# embed()
arc_1 = geometry.add_circle_arc(p1, c, p2)
arc_2 = geometry.add_circle_arc(p2, c, p1)
# Surrounding mesh
p3 = geometry.add_point((c_x-r_x-mesh_r, c_y,0))
p4 = geometry.add_point((c_x+r_x+mesh_r, c_y,0))
arc_5 = geometry.add_circle_arc(p3, c, p4)
arc_6 = geometry.add_circle_arc(p4, c, p3)
line_front = geometry.add_line(p3, p1)
line_back = geometry.add_line(p2, p4)
surface_top = geometry.add_line_loop([line_front, arc_1, line_back, -arc_5])
surface_bottom = geometry.add_line_loop([line_front, -arc_2, line_back,
arc_6])
obstacle_loop = geometry.add_line_loop([arc_1, arc_2])
outer_loop = geometry.add_line_loop([arc_5,arc_6])
top = geometry.add_plane_surface(surface_top)
bottom = geometry.add_plane_surface(surface_bottom)
geometry.add_physical_surface([top, bottom],label=12)
geometry.add_physical_line(obstacle_loop.lines, label=inner_marker)
geometry.add_physical_line(outer_loop.lines, label=outer_marker)
# Create refined mesh around geometry
field = geometry.add_boundary_layer(edges_list=obstacle_loop.lines,
hfar=res, hwall_n=res/3,
thickness=0.1*mesh_r)
geometry.add_background_field([field])
# Generate mesh
(points, cells, point_data,
cell_data, field_data) = generate_mesh(geometry, prune_z_0=True,
geo_filename="meshes/test.geo")
# Save mesh and mesh-function to file
meshio.write("multimesh_1.xdmf", meshio.Mesh(
points=points, cells={"triangle": cells["triangle"]}))
meshio.write("mf_1.xdmf", meshio.Mesh(
points=points, cells={"line": cells["line"]},
cell_data={"line": {"name_to_read":
cell_data["line"]["gmsh:physical"]}}))
import os
os.system("mv multimesh_1.* meshes/")
os.system("mv mf_1.* meshes/")
def background_mesh(res=0.025):
"""
Create rectangular background mesh for the Poisson problem
"""
geo = Geometry()
# Create points for square with two inlets and one outlet
points = []
points.append(geo.add_point((0, 0, 0), res))
points.append(geo.add_point((1, 0, 0), res))
points.append(geo.add_point((1, 1, 0), res))
points.append(geo.add_point(outlet[1], res))
points.append(geo.add_point(outlet[0], res))
points.append(geo.add_point((0, 1, 0), res))
points.append(geo.add_point(inlet1[1], res))
points.append(geo.add_point(inlet1[0], res))
points.append(geo.add_point(inlet0[1], res))
points.append(geo.add_point(inlet0[0], res))
# Connect points as lines
lines = []
for i in range(len(points) - 1):
lines.append(geo.add_line(points[i], points[i + 1]))
lines.append(geo.add_line(points[-1], points[0]))
# Create geometry
line_loop = geo.add_line_loop(lines)
square = geo.add_plane_surface(line_loop)
# Create cell and facet function
wall_lines = lines[0:3] + lines[4:6] + [lines[7]] + [lines[9]]
inlet0_lines = [lines[8]]
inlet1_lines = [lines[6]]
outlet_lines = [lines[3]]
geo.add_physical_surface([square], label=12)
geo.add_physical_line(inlet0_lines, label=inlet0_marker)
geo.add_physical_line(inlet1_lines, label=inlet1_marker)
geo.add_physical_line(outlet_lines, label=outlet_marker)
geo.add_physical_line(wall_lines, label=wall_marker)
# Create mesh
(points, cells, point_data, cell_data,
field_data) = generate_mesh(geo, prune_z_0=True) #,
#geo_filename="meshes/tmp.geo")
meshio.write(
"meshes/multimesh_0.xdmf",
meshio.Mesh(points=points, cells={"triangle": cells["triangle"]}))
meshio.write(
"meshes/mf_0.xdmf",
meshio.Mesh(points=points,
cells={"line": cells["line"]},
cell_data={
"line": {
"name_to_read": cell_data["line"]["gmsh:physical"]
}
}))
from dolfin.fem import assemble_scalar from dolfin import FunctionSpace, TrialFunction, TestFunction, DirichletBC, Function, solve, cpp, fem geom = Geometry() mesh_ele_size = .02 p1 = geom.add_point([0.0, 0.0, 0], lcar=mesh_ele_size) p2 = geom.add_point([0.0, 1.0, 0], lcar=mesh_ele_size) p3 = geom.add_point([1.0, 1.0, 0], lcar=mesh_ele_size) p4 = geom.add_point([1.0, 0.0, 0], lcar=mesh_ele_size) p5 = geom.add_point([0.2, 0.5, 0], lcar=mesh_ele_size) p6 = geom.add_point([0.2, 0.7, 0], lcar=mesh_ele_size) p7 = geom.add_point([1.0, 0.5, 0], lcar=mesh_ele_size) p8 = geom.add_point([1.0, 0.7, 0], lcar=mesh_ele_size) l1 = geom.add_line(p1, p4) l2 = geom.add_line(p3, p2) l3 = geom.add_line(p2, p1) l4 = geom.add_line(p7, p5) l5 = geom.add_line(p5, p6) l6 = geom.add_line(p6, p8) l7 = geom.add_line(p4, p7) l8 = geom.add_line(p7, p8) l9 = geom.add_line(p8, p3) ll1 = geom.add_line_loop(lines=[l2, l3, l1, l7, l4, l5, l6, l9]) ps1 = geom.add_plane_surface(ll1) ll2 = geom.add_line_loop(lines=[l6, -l8, l4, l5]) ps2 = geom.add_plane_surface(ll2)
from pygmsh.built_in.geometry import Geometry
from pygmsh import generate_mesh
import meshio
import dolfin
import dolfin.io
geom = Geometry()
mesh_ele_size = .1
p0 = geom.add_point([0, 0, 0], lcar=mesh_ele_size)
p1 = geom.add_point([1, 0, 0], lcar=mesh_ele_size)
p2 = geom.add_point([1, 1, 0], lcar=mesh_ele_size)
p3 = geom.add_point([0, 1, 0], lcar=mesh_ele_size)
l0 = geom.add_line(p0, p1)
l1 = geom.add_line(p1, p2)
l2 = geom.add_line(p2, p3)
l3 = geom.add_line(p3, p0)
ll = geom.add_line_loop(lines=[l0, l1, l2, l3])
ps = geom.add_plane_surface(ll)
# Tag line and surface
geom.add_physical(l3, label=444)
geom.add_physical(ps, label=456)
print("\n".join(geom._GMSH_CODE))
mesh = generate_mesh(geom)
points, cells, cell_data = mesh.points, mesh.cells, mesh.cell_data
meshio.write("input/mesh_2d.xdmf",
def front_mesh(res=0.025):
geometry = Geometry()
mesh_r = width_scale * res
c = geometry.add_point((c_x, c_y, 0))
# Elliptic obstacle
p1 = geometry.add_point((c_x - r_x, c_y, 0))
p2 = geometry.add_point((c_x + r_x, c_y, 0))
p12 = geometry.add_point((c_x, c_y + 1.4 * r_x, 0))
p21 = geometry.add_point((c_x, c_y - 1.4 * r_x, 0))
arc_1 = geometry.add_spline([p1, p12, p2])
arc_2 = geometry.add_spline([p2, p21, p1])
# arc_1 = geometry.add_circle_arc(p1, c, p2)
# arc_2 = geometry.add_circle_arc(p2, c, p1)
# Surrounding mesh
p3 = geometry.add_point((c_x - r_x - mesh_r, c_y, 0))
p4 = geometry.add_point((c_x + r_x + mesh_r, c_y, 0))
p34 = geometry.add_point((c_x, c_y + 1.4 * r_x + mesh_r, 0))
p43 = geometry.add_point((c_x, c_y - 1.4 * r_x - mesh_r, 0))
arc_5 = geometry.add_spline([p3, p34, p4])
arc_6 = geometry.add_spline([p4, p43, p3])
# arc_5 = geometry.add_circle_arc(p3, c, p4)
# arc_6 = geometry.add_circle_arc(p4, c, p3)
line_front = geometry.add_line(p3, p1)
line_back = geometry.add_line(p2, p4)
surface_top = geometry.add_line_loop(
[line_front, arc_1, line_back, -arc_5])
surface_bottom = geometry.add_line_loop(
[line_front, -arc_2, line_back, arc_6])
obstacle_loop = geometry.add_line_loop([arc_1, arc_2])
top = geometry.add_plane_surface(surface_top)
bottom = geometry.add_plane_surface(surface_bottom)
geometry.add_physical_surface([top, bottom], label=12)
geometry.add_physical_line(obstacle_loop.lines, label=inner_marker)
# Create refined mesh around geometry
field = geometry.add_boundary_layer(edges_list=obstacle_loop.lines,
hfar=res,
hwall_n=res / 3,
thickness=2 * res)
geometry.add_background_field([field])
# Generate mesh
(points, cells, point_data, cell_data,
field_data) = generate_mesh(geometry,
prune_z_0=True,
geo_filename="meshes/test.geo")
# Save mesh and mesh-function to file
meshio.write(
"meshes/multimesh_1.xdmf",
meshio.Mesh(points=points, cells={"triangle": cells["triangle"]}))
meshio.write(
"meshes/mf_1.xdmf",
meshio.Mesh(points=points,
cells={"line": cells["line"]},
cell_data={
"line": {
"name_to_read": cell_data["line"]["gmsh:physical"]
}
}))