Lumped capacitor#
The capacitance \(C\) of a system given a potential difference \(\Delta V\) between two conductors can be calculated from
\[ C = \frac{2W}{(\Delta V)^2} \]
with
\[ W = \frac{1}{2} \int_\Omega \epsilon E \cdot E d\Omega \]
where \(\epsilon\) is the permittivity distribution, \(E\) the electric field, and \(\Omega\) the domain. The integrand is only non-zero close to the conductors, where the field is concentrated.
In this notebook we compute the capacitance of a parallel-plate capacitor, and show that we recover the theoretical result \(C = \frac{\epsilon A}{d}\) in the limit of negligible fringe fields.
First, we parametrize a simple geometry:
import matplotlib.pyplot as plt
import numpy as np
import shapely
from meshwell.model import Model
from meshwell.polysurface import PolySurface
from skfem import Basis, ElementDG, ElementTriP0, Functional
from skfem.helpers import dot
from skfem.io.meshio import from_meshio
from femwell.coulomb import solve_coulomb
from femwell.visualization import plot_domains, plot_subdomain_boundaries
# Define some parameters for the capacitor:
dielectric_epsilon = 16
separation = 4
metal_thickness = 1
delta_voltage = 1
Make a mesh
Note: below we use meshwell instead of femwell's built-in backend. You can install meshwell with `pip install meshwell`
def parallel_plate_capacitor_mesh(
width,
separation=separation,
thickness=metal_thickness,
):
top_plate_polygon = shapely.geometry.box(
-width / 2, separation / 2, width / 2, separation / 2 + thickness
)
bottom_plate_polygon = shapely.geometry.box(
-width / 2, -separation / 2 - thickness, width / 2, -separation / 2
)
dielectric_polygon = shapely.geometry.box(
-width / 2, -separation / 2, width / 2, separation / 2
)
capacitor_polygon = shapely.unary_union(
[top_plate_polygon, bottom_plate_polygon, dielectric_polygon]
)
air_polygon = capacitor_polygon.buffer(20, resolution=8)
model = Model()
top_plate = PolySurface(
polygons=top_plate_polygon,
model=model,
physical_name="top_plate",
mesh_bool=False,
resolution={"resolution": 0.5, "DistMax": 2},
mesh_order=1,
)
bottom_plate = PolySurface(
polygons=bottom_plate_polygon,
model=model,
physical_name="bottom_plate",
mesh_bool=False,
resolution={"resolution": 0.5, "DistMax": 2},
mesh_order=2,
)
dielectric = PolySurface(
polygons=dielectric_polygon,
model=model,
physical_name="dielectric",
mesh_bool=True,
mesh_order=3,
)
air = PolySurface(
polygons=air_polygon,
model=model,
physical_name="air",
mesh_bool=True,
mesh_order=4,
)
return from_meshio(
model.mesh(
entities_list=[top_plate, bottom_plate, dielectric, air],
filename="mesh.msh",
default_characteristic_length=0.5,
)
)
mesh = parallel_plate_capacitor_mesh(
width=2,
separation=separation,
thickness=metal_thickness,
)
mesh.draw().show()
plot_domains(mesh)
plt.show()
plot_subdomain_boundaries(mesh)
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<Axes: >
Since the electric field inside a metal is zero, we define the voltage on the boundary of the metal, and exclude the metal from the mesh:
def potential(mesh, dV=delta_voltage, dielectric_epsilon=16):
basis_epsilon = Basis(mesh, ElementTriP0())
epsilon = basis_epsilon.ones()
epsilon[basis_epsilon.get_dofs(elements=("dielectric"))] = dielectric_epsilon
basis_u, u = solve_coulomb(
basis_epsilon,
epsilon,
{
"top_plate___dielectric": dV,
"top_plate___air": dV,
"bottom_plate___dielectric": 0,
"bottom_plate___air": 0,
},
)
return basis_u, u, basis_epsilon, epsilon
basis_u, u, basis_epsilon, epsilon = potential(mesh, dV=delta_voltage)
fig, ax = plt.subplots()
for subdomain in basis_epsilon.mesh.subdomains.keys() - {"gmsh:bounding_entities"}:
basis_epsilon.mesh.restrict(subdomain).draw(ax=ax, boundaries_only=True)
basis_u.plot(u, ax=ax, shading="gouraud", colorbar=True)
# basis_vec.plot(-u_grad, ax=ax)
plt.show()
for subdomain in basis_epsilon.mesh.subdomains.keys() - {"gmsh:bounding_entities"}:
basis_epsilon.mesh.restrict(subdomain).draw(ax=ax, boundaries_only=True)
basis_grad = basis_u.with_element(ElementDG(basis_u.elem))
fig, ax = plt.subplots()
e_x = basis_u.project(-basis_epsilon.interpolate(epsilon) * basis_u.interpolate(u).grad[0])
basis_u.plot(e_x, ax=ax, shading="gouraud", colorbar=True)
plt.show()
fig, ax = plt.subplots()
e_y = basis_u.project(-basis_epsilon.interpolate(epsilon) * basis_u.interpolate(u).grad[1])
basis_u.plot(e_y, ax=ax, shading="gouraud", colorbar=True)
plt.show()
def capacitance(
width=2,
separation=separation,
thickness=metal_thickness,
dV=delta_voltage,
dielectric_epsilon=dielectric_epsilon,
):
mesh = parallel_plate_capacitor_mesh(
width=width,
separation=separation,
thickness=thickness,
)
basis_u, u, basis_epsilon, epsilon = potential(
mesh, dV=dV, dielectric_epsilon=dielectric_epsilon
)
@Functional(dtype=complex)
def W(w):
return 0.5 * w["epsilon"] * dot(w["u"].grad, w["u"].grad)
C = (
2
* W.assemble(
basis_u,
epsilon=basis_epsilon.interpolate(epsilon),
u=basis_u.interpolate(u),
)
/ dV**2
)
return C
import tqdm
widths = np.linspace(1, 50, 11)
Cs_dict = {}
for dielectric_epsilon in [1, 3.9, 16]:
Cs = []
for width in tqdm.tqdm(widths):
Cs.append(
capacitance(
width=width,
separation=separation,
thickness=metal_thickness,
dV=delta_voltage,
dielectric_epsilon=dielectric_epsilon,
)
)
Cs_dict[dielectric_epsilon] = Cs
# +
colors = ["tab:blue", "tab:orange", "tab:green"]
for dielectric_epsilon, color in zip([1, 3.9, 16], colors):
plt.plot(
widths,
np.array(Cs_dict[dielectric_epsilon]),
color=color,
linestyle="-",
label=dielectric_epsilon,
)
plt.plot(
widths, np.array(widths) * dielectric_epsilon / separation, color=color, linestyle="--"
)
plt.xlabel("Width (a.u.)")
plt.ylabel(r"Capacitance per unit length / $\epsilon_0$ (a.u.)")
plt.legend(title="Dielectric")
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Info : [ 40%] Meshing curve 20 (Line)
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Info : [ 60%] Meshing curve 28 (Line)
Info : [ 60%] Meshing curve 29 (Line)
Info : [ 60%] Meshing curve 30 (Line)
Info : [ 60%] Meshing curve 31 (Line)
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Info : [ 70%] Meshing curve 33 (Line)
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Info : [ 70%] Meshing curve 36 (Line)
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Info : [ 80%] Meshing curve 39 (Line)
Info : [ 80%] Meshing curve 40 (Line)
Info : [ 80%] Meshing curve 41 (Line)
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Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
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Info : [ 0%] Meshing curve 4 (Line)
Info : Done meshing 1D (Wall 0.00530642s, CPU 0.014957s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.252559s, CPU 0.281181s)
Info : 10846 nodes 21754 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmp8j9iif4c/mesh.msh'...
Info : Done writing '/tmp/tmp8j9iif4c/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
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Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
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Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
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Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 40%] Difference
Info : [ 50%] Difference
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Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
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Info : [ 0%] Fragments
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Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
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Info : [ 40%] Meshing curve 23 (Line)
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Info : [ 60%] Meshing curve 31 (Line)
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Info : [ 80%] Meshing curve 38 (Line)
Info : [ 80%] Meshing curve 39 (Line)
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Info : [ 80%] Meshing curve 41 (Line)
Info : [ 90%] Meshing curve 42 (Line)
Info : [ 90%] Meshing curve 43 (Line)
Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [100%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.00186284s, CPU 0.001458s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.276647s, CPU 0.304008s)
Info : 11922 nodes 23906 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmpypraccja/mesh.msh'...
Info : Done writing '/tmp/tmpypraccja/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
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Info : [ 40%] Difference
Info : [ 50%] Difference
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Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
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Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
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Info : [ 40%] Meshing curve 20 (Line)
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Info : [ 40%] Meshing curve 22 (Line)
Info : [ 50%] Meshing curve 23 (Line)
Info : [ 50%] Meshing curve 24 (Line)
Info : [ 50%] Meshing curve 25 (Line)
Info : [ 60%] Meshing curve 26 (Line)
Info : [ 60%] Meshing curve 27 (Line)
Info : [ 60%] Meshing curve 28 (Line)
Info : [ 60%] Meshing curve 29 (Line)
Info : [ 60%] Meshing curve 30 (Line)
Info : [ 60%] Meshing curve 31 (Line)
Info : [ 70%] Meshing curve 32 (Line)
Info : [ 70%] Meshing curve 33 (Line)
Info : [ 70%] Meshing curve 34 (Line)
Info : [ 70%] Meshing curve 35 (Line)
Info : [ 70%] Meshing curve 36 (Line)
Info : [ 70%] Meshing curve 37 (Line)
Info : [ 80%] Meshing curve 38 (Line)
Info : [ 80%] Meshing curve 39 (Line)
Info : [ 80%] Meshing curve 40 (Line)
Info : [ 90%] Meshing curve 41 (Line)
Info : [ 90%] Meshing curve 42 (Line)
Info : [ 90%] Meshing curve 43 (Line)
Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [ 90%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.00242881s, CPU 0.006842s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.292168s, CPU 0.327262s)
Info : 12744 nodes 25550 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmpbcwve4e3/mesh.msh'...
Info : Done writing '/tmp/tmpbcwve4e3/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
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Info : [ 30%] Difference
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Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
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Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
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Info : [ 20%] Meshing curve 11 (Line)
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Info : [ 30%] Meshing curve 14 (Line)
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Info : [ 30%] Meshing curve 16 (Line)
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Info : [ 40%] Meshing curve 18 (Line)
Info : [ 40%] Meshing curve 19 (Line)
Info : [ 40%] Meshing curve 20 (Line)
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Info : [ 40%] Meshing curve 22 (Line)
Info : [ 40%] Meshing curve 23 (Line)
Info : [ 40%] Meshing curve 24 (Line)
Info : [ 40%] Meshing curve 25 (Line)
Info : [ 50%] Meshing curve 26 (Line)
Info : [ 50%] Meshing curve 27 (Line)
Info : [ 50%] Meshing curve 28 (Line)
Info : [ 50%] Meshing curve 29 (Line)
Info : [ 60%] Meshing curve 30 (Line)
Info : [ 60%] Meshing curve 31 (Line)
Info : [ 60%] Meshing curve 32 (Line)
Info : [ 60%] Meshing curve 33 (Line)
Info : [ 70%] Meshing curve 34 (Line)
Info : [ 70%] Meshing curve 35 (Line)
Info : [ 70%] Meshing curve 36 (Line)
Info : [ 70%] Meshing curve 37 (Line)
Info : [ 80%] Meshing curve 38 (Line)
Info : [ 80%] Meshing curve 39 (Line)
Info : [ 80%] Meshing curve 40 (Line)
Info : [ 80%] Meshing curve 41 (Line)
Info : [ 90%] Meshing curve 42 (Line)
Info : [ 90%] Meshing curve 43 (Line)
Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [100%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.0019107s, CPU 0.00144s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.321015s, CPU 0.358968s)
Info : 13924 nodes 27910 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmp1skcsru0/mesh.msh'...
Info : Done writing '/tmp/tmp1skcsru0/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
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Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
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Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
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Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
Info : [ 0%] Meshing curve 2 (Line)
Info : [ 0%] Meshing curve 3 (Line)
Info : [ 0%] Meshing curve 5 (Line)
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Info : [ 0%] Meshing curve 13 (Line)
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Info : [ 0%] Meshing curve 17 (Line)
Info : [ 0%] Meshing curve 4 (Line)
Info : [ 0%] Meshing curve 16 (Line)
Info : [ 0%] Meshing curve 19 (Line)
Info : [ 0%] Meshing curve 20 (Line)
Info : [ 40%] Meshing curve 21 (Line)
Info : [ 40%] Meshing curve 22 (Line)
Info : [ 40%] Meshing curve 23 (Line)
Info : [ 50%] Meshing curve 24 (Line)
Info : [ 50%] Meshing curve 25 (Line)
Info : [ 50%] Meshing curve 26 (Line)
Info : [ 60%] Meshing curve 27 (Line)
Info : [ 0%] Meshing curve 18 (Line)
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Info : [ 60%] Meshing curve 29 (Line)
Info : [ 60%] Meshing curve 30 (Line)
Info : [ 60%] Meshing curve 31 (Line)
Info : [ 60%] Meshing curve 32 (Line)
Info : [ 60%] Meshing curve 33 (Line)
Info : [ 70%] Meshing curve 34 (Line)
Info : [ 70%] Meshing curve 35 (Line)
Info : [ 70%] Meshing curve 36 (Line)
Info : [ 70%] Meshing curve 37 (Line)
Info : [ 80%] Meshing curve 38 (Line)
Info : [ 80%] Meshing curve 39 (Line)
Info : [ 80%] Meshing curve 40 (Line)
Info : [ 80%] Meshing curve 41 (Line)
Info : [ 80%] Meshing curve 42 (Line)
Info : [ 90%] Meshing curve 43 (Line)
Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [ 90%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.00270341s, CPU 0.006784s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.342482s, CPU 0.378596s)
Info : 14925 nodes 29912 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmp3op1ez1h/mesh.msh'...
Info : Done writing '/tmp/tmp3op1ez1h/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
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Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
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Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : [ 20%] Fragments
Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
Info : [ 0%] Meshing curve 2 (Line)
Info : [ 0%] Meshing curve 3 (Line)
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Info : [ 0%] Meshing curve 6 (Line)
Info : [ 0%] Meshing curve 8 (Line)
Info : [ 20%] Meshing curve 9 (Line)
Info : [ 20%] Meshing curve 10 (Line)
Info : [ 20%] Meshing curve 11 (Line)
Info : [ 20%] Meshing curve 12 (Line)
Info : [ 30%] Meshing curve 13 (Line)
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Info : [ 30%] Meshing curve 15 (Line)
Info : [ 30%] Meshing curve 16 (Line)
Info : [ 0%] Meshing curve 7 (Line)
Info : [ 30%] Meshing curve 17 (Line)
Info : [ 40%] Meshing curve 18 (Line)
Info : [ 40%] Meshing curve 19 (Line)
Info : [ 40%] Meshing curve 21 (Line)
Info : [ 40%] Meshing curve 22 (Line)
Info : [ 40%] Meshing curve 23 (Line)
Info : [ 40%] Meshing curve 20 (Line)
Info : [ 50%] Meshing curve 24 (Line)
Info : [ 50%] Meshing curve 25 (Line)
Info : [ 50%] Meshing curve 26 (Line)
Info : [ 50%] Meshing curve 27 (Line)
Info : [ 60%] Meshing curve 28 (Line)
Info : [ 60%] Meshing curve 29 (Line)
Info : [ 60%] Meshing curve 30 (Line)
Info : [ 60%] Meshing curve 31 (Line)
Info : [ 60%] Meshing curve 32 (Line)
Info : [ 60%] Meshing curve 33 (Line)
Info : [ 70%] Meshing curve 34 (Line)
Info : [ 70%] Meshing curve 35 (Line)
Info : [ 70%] Meshing curve 36 (Line)
Info : [ 70%] Meshing curve 37 (Line)
Info : [ 80%] Meshing curve 38 (Line)
Info : [ 80%] Meshing curve 39 (Line)
Info : [ 80%] Meshing curve 40 (Line)
Info : [ 80%] Meshing curve 41 (Line)
Info : [ 90%] Meshing curve 42 (Line)
Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [ 90%] Meshing curve 46 (Line)
Info : [ 90%] Meshing curve 43 (Line)
Info : Done meshing 1D (Wall 0.00235379s, CPU 0.004647s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.371926s, CPU 0.417748s)
Info : 16047 nodes 32156 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmp29wldkvq/mesh.msh'...
Info : Done writing '/tmp/tmp29wldkvq/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
Info : [ 10%] Difference
Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
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Info : [ 20%] Fragments
Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
Info : [ 10%] Fragments
Info : [ 20%] Fragments
Info : [ 30%] Fragments
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Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
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Info : [ 40%] Meshing curve 23 (Line)
Info : [ 40%] Meshing curve 24 (Line)
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Info : [ 50%] Meshing curve 27 (Line)
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Info : [ 60%] Meshing curve 30 (Line)
Info : [ 60%] Meshing curve 31 (Line)
Info : [ 60%] Meshing curve 32 (Line)
Info : [ 60%] Meshing curve 33 (Line)
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Info : [ 70%] Meshing curve 43 (Line)
Info : [ 70%] Meshing curve 44 (Line)
Info : [ 70%] Meshing curve 45 (Line)
Info : [ 70%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.00294542s, CPU 0.007852s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.387293s, CPU 0.429055s)
Info : 17183 nodes 34428 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmp89_s9hlm/mesh.msh'...
Info : Done writing '/tmp/tmp89_s9hlm/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
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Info : [ 10%] Fragments - Performing intersection of shapes
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Info : [ 80%] Difference - Splitting faces
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Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 50%] Difference
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Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
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Info : Done meshing 1D (Wall 0.00665832s, CPU 0.016379s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.402568s, CPU 0.448578s)
Info : 17972 nodes 36006 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmp7o38zbj6/mesh.msh'...
Info : Done writing '/tmp/tmp7o38zbj6/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
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Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
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Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
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Info : [ 40%] Meshing curve 22 (Line)
Info : [ 50%] Meshing curve 23 (Line)
Info : [ 50%] Meshing curve 24 (Line)
Info : [ 50%] Meshing curve 25 (Line)
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Info : [ 50%] Meshing curve 27 (Line)
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Info : [ 60%] Meshing curve 30 (Line)
Info : [ 70%] Meshing curve 31 (Line)
Info : [ 70%] Meshing curve 32 (Line)
Info : [ 70%] Meshing curve 33 (Line)
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Info : [ 70%] Meshing curve 36 (Line)
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Info : [ 70%] Meshing curve 38 (Line)
Info : [ 70%] Meshing curve 39 (Line)
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Info : [ 70%] Meshing curve 41 (Line)
Info : [ 70%] Meshing curve 42 (Line)
Info : [ 70%] Meshing curve 43 (Line)
Info : [ 70%] Meshing curve 44 (Line)
Info : [ 70%] Meshing curve 46 (Line)
Info : [ 70%] Meshing curve 45 (Line)
Info : [ 70%] Meshing curve 34 (Line)
Info : Done meshing 1D (Wall 0.00478954s, CPU 0.010404s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.175386s, CPU 0.201797s)
Info : 7489 nodes 15040 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmpf0wj4a92/mesh.msh'...
Info : Done writing '/tmp/tmpf0wj4a92/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
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Info : [ 80%] Difference - Splitting faces
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Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
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Info : [ 0%] Meshing curve 28 (Line)
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Info : [ 0%] Meshing curve 30 (Line)
Info : [ 60%] Meshing curve 31 (Line)
Info : [ 60%] Meshing curve 32 (Line)
Info : [ 60%] Meshing curve 33 (Line)
Info : [ 70%] Meshing curve 34 (Line)
Info : [ 70%] Meshing curve 35 (Line)
Info : [ 70%] Meshing curve 36 (Line)
Info : [ 80%] Meshing curve 37 (Line)
Info : [ 80%] Meshing curve 38 (Line)
Info : [ 80%] Meshing curve 39 (Line)
Info : [ 80%] Meshing curve 40 (Line)
Info : [ 80%] Meshing curve 41 (Line)
Info : [ 80%] Meshing curve 42 (Line)
Info : [ 90%] Meshing curve 43 (Line)
Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [100%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.00288137s, CPU 0.006032s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.1941s, CPU 0.224653s)
Info : 8605 nodes 17272 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmpx9gz_cfx/mesh.msh'...
Info : Done writing '/tmp/tmpx9gz_cfx/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
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Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
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Info : [ 50%] Fragments
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Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
Info : [ 0%] Meshing curve 2 (Line)
Info : [ 0%] Meshing curve 3 (Line)
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Info : [ 10%] Meshing curve 10 (Line)
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Info : [ 20%] Meshing curve 12 (Line)
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Info : [ 30%] Meshing curve 16 (Line)
Info : [ 30%] Meshing curve 17 (Line)
Info : [ 30%] Meshing curve 18 (Line)
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Info : [ 40%] Meshing curve 20 (Line)
Info : [ 40%] Meshing curve 21 (Line)
Info : [ 40%] Meshing curve 22 (Line)
Info : [ 40%] Meshing curve 23 (Line)
Info : [ 50%] Meshing curve 24 (Line)
Info : [ 50%] Meshing curve 25 (Line)
Info : [ 50%] Meshing curve 26 (Line)
Info : [ 50%] Meshing curve 27 (Line)
Info : [ 60%] Meshing curve 28 (Line)
Info : [ 60%] Meshing curve 29 (Line)
Info : [ 60%] Meshing curve 30 (Line)
Info : [ 60%] Meshing curve 31 (Line)
Info : [ 70%] Meshing curve 32 (Line)
Info : [ 70%] Meshing curve 33 (Line)
Info : [ 70%] Meshing curve 34 (Line)
Info : [ 70%] Meshing curve 35 (Line)
Info : [ 70%] Meshing curve 36 (Line)
Info : [ 70%] Meshing curve 37 (Line)
Info : [ 70%] Meshing curve 38 (Line)
Info : [ 70%] Meshing curve 39 (Line)
Info : [ 80%] Meshing curve 40 (Line)
Info : [ 80%] Meshing curve 41 (Line)
Info : [ 80%] Meshing curve 42 (Line)
Info : [ 80%] Meshing curve 43 (Line)
Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [ 90%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.00160425s, CPU 0.001657s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.223541s, CPU 0.256363s)
Info : 9764 nodes 19590 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmpe6y8jy9z/mesh.msh'...
Info : Done writing '/tmp/tmpe6y8jy9z/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
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Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
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Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : [ 20%] Fragments
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Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
Info : [ 0%] Meshing curve 2 (Line)
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Info : [ 0%] Meshing curve 9 (Line)
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Info : [ 0%] Meshing curve 14 (Line)
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Info : [ 0%] Meshing curve 16 (Line)
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Info : [ 0%] Meshing curve 24 (Line)
Info : [ 0%] Meshing curve 25 (Line)
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Info : [ 0%] Meshing curve 27 (Line)
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Info : [ 0%] Meshing curve 30 (Line)
Info : [ 0%] Meshing curve 32 (Line)
Info : [ 0%] Meshing curve 33 (Line)
Info : [ 70%] Meshing curve 34 (Line)
Info : [ 70%] Meshing curve 35 (Line)
Info : [ 70%] Meshing curve 36 (Line)
Info : [ 80%] Meshing curve 37 (Line)
Info : [ 80%] Meshing curve 38 (Line)
Info : [ 80%] Meshing curve 39 (Line)
Info : [ 80%] Meshing curve 40 (Line)
Info : [ 80%] Meshing curve 41 (Line)
Info : [ 80%] Meshing curve 42 (Line)
Info : [ 90%] Meshing curve 43 (Line)
Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [100%] Meshing curve 46 (Line)
Info : [ 0%] Meshing curve 31 (Line)
Info : Done meshing 1D (Wall 0.00253725s, CPU 0.006101s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.245219s, CPU 0.282514s)
Info : 10843 nodes 21748 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmp9rqayn__/mesh.msh'...
Info : Done writing '/tmp/tmp9rqayn__/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
Info : [ 10%] Difference
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Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
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Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
Info : [ 10%] Fragments
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Info : [ 30%] Fragments
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Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
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Info : [ 0%] Meshing curve 16 (Line)
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Info : [ 0%] Meshing curve 22 (Line)
Info : [ 0%] Meshing curve 23 (Line)
Info : [ 0%] Meshing curve 24 (Line)
Info : [ 0%] Meshing curve 25 (Line)
Info : [ 0%] Meshing curve 26 (Line)
Info : [ 0%] Meshing curve 27 (Line)
Info : [ 0%] Meshing curve 28 (Line)
Info : [ 0%] Meshing curve 29 (Line)
Info : [ 0%] Meshing curve 30 (Line)
Info : [ 0%] Meshing curve 31 (Line)
Info : [ 0%] Meshing curve 32 (Line)
Info : [ 0%] Meshing curve 33 (Line)
Info : [ 0%] Meshing curve 34 (Line)
Info : [ 0%] Meshing curve 35 (Line)
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Info : [ 0%] Meshing curve 37 (Line)
Info : [ 0%] Meshing curve 38 (Line)
Info : [ 0%] Meshing curve 39 (Line)
Info : [ 0%] Meshing curve 40 (Line)
Info : [ 0%] Meshing curve 41 (Line)
Info : [ 0%] Meshing curve 42 (Line)
Info : [ 0%] Meshing curve 43 (Line)
Info : [ 0%] Meshing curve 44 (Line)
Info : [ 0%] Meshing curve 45 (Line)
Info : [ 0%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.00512645s, CPU 0.011933s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.272538s, CPU 0.316097s)
Info : 11918 nodes 23898 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmpegsxdlsi/mesh.msh'...
Info : Done writing '/tmp/tmpegsxdlsi/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
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Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
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Info : [ 20%] Fragments
Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
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Info : [ 10%] Meshing curve 7 (Line)
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Info : [ 30%] Meshing curve 15 (Line)
Info : [ 30%] Meshing curve 16 (Line)
Info : [ 30%] Meshing curve 17 (Line)
Info : [ 40%] Meshing curve 18 (Line)
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Info : [ 40%] Meshing curve 20 (Line)
Info : [ 40%] Meshing curve 21 (Line)
Info : [ 40%] Meshing curve 22 (Line)
Info : [ 40%] Meshing curve 23 (Line)
Info : [ 50%] Meshing curve 24 (Line)
Info : [ 50%] Meshing curve 25 (Line)
Info : [ 50%] Meshing curve 26 (Line)
Info : [ 60%] Meshing curve 27 (Line)
Info : [ 60%] Meshing curve 28 (Line)
Info : [ 60%] Meshing curve 29 (Line)
Info : [ 60%] Meshing curve 30 (Line)
Info : [ 60%] Meshing curve 31 (Line)
Info : [ 60%] Meshing curve 32 (Line)
Info : [ 60%] Meshing curve 33 (Line)
Info : [ 60%] Meshing curve 34 (Line)
Info : [ 70%] Meshing curve 35 (Line)
Info : [ 70%] Meshing curve 36 (Line)
Info : [ 80%] Meshing curve 38 (Line)
Info : [ 70%] Meshing curve 37 (Line)
Info : [ 80%] Meshing curve 39 (Line)
Info : [ 80%] Meshing curve 41 (Line)
Info : [ 80%] Meshing curve 42 (Line)
Info : [ 80%] Meshing curve 44 (Line)
Info : [ 80%] Meshing curve 45 (Line)
Info : [ 80%] Meshing curve 46 (Line)
Info : [ 80%] Meshing curve 43 (Line)
Info : [ 80%] Meshing curve 40 (Line)
Info : Done meshing 1D (Wall 0.00483368s, CPU 0.01097s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.289099s, CPU 0.32767s)
Info : 12758 nodes 25578 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmpy6oilj88/mesh.msh'...
Info : Done writing '/tmp/tmpy6oilj88/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
Info : [ 10%] Difference
Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
Info : [ 10%] Fragments
Info : [ 20%] Fragments
Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
Info : [ 10%] Fragments
Info : [ 20%] Fragments
Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
Info : [ 0%] Meshing curve 2 (Line)
Info : [ 0%] Meshing curve 3 (Line)
Info : [ 10%] Meshing curve 4 (Line)
Info : [ 10%] Meshing curve 5 (Line)
Info : [ 10%] Meshing curve 6 (Line)
Info : [ 10%] Meshing curve 7 (Line)
Info : [ 10%] Meshing curve 8 (Line)
Info : [ 10%] Meshing curve 9 (Line)
Info : [ 20%] Meshing curve 10 (Line)
Info : [ 20%] Meshing curve 11 (Line)
Info : [ 20%] Meshing curve 12 (Line)
Info : [ 20%] Meshing curve 13 (Line)
Info : [ 20%] Meshing curve 14 (Line)
Info : [ 30%] Meshing curve 15 (Line)
Info : [ 30%] Meshing curve 16 (Line)
Info : [ 30%] Meshing curve 17 (Line)
Info : [ 30%] Meshing curve 18 (Line)
Info : [ 40%] Meshing curve 19 (Line)
Info : [ 40%] Meshing curve 20 (Line)
Info : [ 40%] Meshing curve 21 (Line)
Info : [ 50%] Meshing curve 22 (Line)
Info : [ 50%] Meshing curve 23 (Line)
Info : [ 50%] Meshing curve 24 (Line)
Info : [ 50%] Meshing curve 25 (Line)
Info : [ 50%] Meshing curve 26 (Line)
Info : [ 50%] Meshing curve 27 (Line)
Info : [ 60%] Meshing curve 28 (Line)
Info : [ 60%] Meshing curve 29 (Line)
Info : [ 60%] Meshing curve 30 (Line)
Info : [ 60%] Meshing curve 31 (Line)
Info : [ 70%] Meshing curve 33 (Line)
Info : [ 70%] Meshing curve 34 (Line)
Info : [ 70%] Meshing curve 35 (Line)
Info : [ 70%] Meshing curve 36 (Line)
Info : [ 80%] Meshing curve 38 (Line)
Info : [ 80%] Meshing curve 39 (Line)
Info : [ 80%] Meshing curve 40 (Line)
Info : [ 80%] Meshing curve 41 (Line)
Info : [ 80%] Meshing curve 42 (Line)
Info : [ 80%] Meshing curve 43 (Line)
Info : [ 80%] Meshing curve 44 (Line)
Info : [ 80%] Meshing curve 45 (Line)
Info : [ 80%] Meshing curve 46 (Line)
Info : [ 80%] Meshing curve 37 (Line)
Info : [ 60%] Meshing curve 32 (Line)
Info : Done meshing 1D (Wall 0.00502869s, CPU 0.008196s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.325089s, CPU 0.363235s)
Info : 13924 nodes 27910 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmp7ej65ya0/mesh.msh'...
Info : Done writing '/tmp/tmp7ej65ya0/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
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Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
Info : [ 10%] Fragments
Info : [ 20%] Fragments
Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
Info : [ 10%] Fragments
Info : [ 20%] Fragments
Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
Info : [ 0%] Meshing curve 2 (Line)
Info : [ 0%] Meshing curve 3 (Line)
Info : [ 0%] Meshing curve 4 (Line)
Info : [ 10%] Meshing curve 5 (Line)
Info : [ 10%] Meshing curve 6 (Line)
Info : [ 10%] Meshing curve 7 (Line)
Info : [ 10%] Meshing curve 8 (Line)
Info : [ 10%] Meshing curve 9 (Line)
Info : [ 20%] Meshing curve 10 (Line)
Info : [ 20%] Meshing curve 11 (Line)
Info : [ 20%] Meshing curve 12 (Line)
Info : [ 30%] Meshing curve 13 (Line)
Info : [ 30%] Meshing curve 14 (Line)
Info : [ 30%] Meshing curve 15 (Line)
Info : [ 30%] Meshing curve 16 (Line)
Info : [ 30%] Meshing curve 17 (Line)
Info : [ 30%] Meshing curve 18 (Line)
Info : [ 40%] Meshing curve 19 (Line)
Info : [ 40%] Meshing curve 20 (Line)
Info : [ 40%] Meshing curve 21 (Line)
Info : [ 40%] Meshing curve 22 (Line)
Info : [ 50%] Meshing curve 23 (Line)
Info : [ 50%] Meshing curve 24 (Line)
Info : [ 50%] Meshing curve 25 (Line)
Info : [ 50%] Meshing curve 26 (Line)
Info : [ 60%] Meshing curve 27 (Line)
Info : [ 60%] Meshing curve 28 (Line)
Info : [ 60%] Meshing curve 29 (Line)
Info : [ 60%] Meshing curve 30 (Line)
Info : [ 60%] Meshing curve 31 (Line)
Info : [ 60%] Meshing curve 32 (Line)
Info : [ 60%] Meshing curve 33 (Line)
Info : [ 60%] Meshing curve 34 (Line)
Info : [ 70%] Meshing curve 35 (Line)
Info : [ 70%] Meshing curve 36 (Line)
Info : [ 70%] Meshing curve 37 (Line)
Info : [ 70%] Meshing curve 38 (Line)
Info : [ 80%] Meshing curve 39 (Line)
Info : [ 80%] Meshing curve 40 (Line)
Info : [ 80%] Meshing curve 41 (Line)
Info : [ 80%] Meshing curve 42 (Line)
Info : [ 90%] Meshing curve 43 (Line)
Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [ 90%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.00191733s, CPU 0.002922s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.342726s, CPU 0.388097s)
Info : 14928 nodes 29918 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmp2v3ehc1x/mesh.msh'...
Info : Done writing '/tmp/tmp2v3ehc1x/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
Info : [ 10%] Difference
Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
Info : [ 10%] Fragments
Info : [ 20%] Fragments
Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
Info : [ 10%] Difference
Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
Info : [ 10%] Fragments
Info : [ 20%] Fragments
Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 2 (Line)
Info : [ 0%] Meshing curve 1 (Line)
Info : [ 10%] Meshing curve 3 (Line)
Info : [ 10%] Meshing curve 4 (Line)
Info : [ 10%] Meshing curve 5 (Line)
Info : [ 10%] Meshing curve 6 (Line)
Info : [ 20%] Meshing curve 7 (Line)
Info : [ 20%] Meshing curve 8 (Line)
Info : [ 20%] Meshing curve 9 (Line)
Info : [ 20%] Meshing curve 10 (Line)
Info : [ 20%] Meshing curve 11 (Line)
Info : [ 20%] Meshing curve 12 (Line)
Info : [ 30%] Meshing curve 13 (Line)
Info : [ 30%] Meshing curve 14 (Line)
Info : [ 30%] Meshing curve 15 (Line)
Info : [ 30%] Meshing curve 16 (Line)
Info : [ 40%] Meshing curve 17 (Line)
Info : [ 40%] Meshing curve 18 (Line)
Info : [ 40%] Meshing curve 19 (Line)
Info : [ 40%] Meshing curve 20 (Line)
Info : [ 40%] Meshing curve 21 (Line)
Info : [ 40%] Meshing curve 22 (Line)
Info : [ 50%] Meshing curve 23 (Line)
Info : [ 50%] Meshing curve 24 (Line)
Info : [ 50%] Meshing curve 25 (Line)
Info : [ 60%] Meshing curve 26 (Line)
Info : [ 60%] Meshing curve 27 (Line)
Info : [ 60%] Meshing curve 28 (Line)
Info : [ 60%] Meshing curve 29 (Line)
Info : [ 60%] Meshing curve 30 (Line)
Info : [ 60%] Meshing curve 31 (Line)
Info : [ 70%] Meshing curve 32 (Line)
Info : [ 70%] Meshing curve 33 (Line)
Info : [ 70%] Meshing curve 34 (Line)
Info : [ 70%] Meshing curve 35 (Line)
Info : [ 70%] Meshing curve 36 (Line)
Info : [ 70%] Meshing curve 37 (Line)
Info : [ 80%] Meshing curve 38 (Line)
Info : [ 80%] Meshing curve 39 (Line)
Info : [ 80%] Meshing curve 40 (Line)
Info : [ 80%] Meshing curve 41 (Line)
Info : [ 90%] Meshing curve 42 (Line)
Info : [ 90%] Meshing curve 43 (Line)
Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [100%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.00238211s, CPU 0s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.372683s, CPU 0.416013s)
Info : 16045 nodes 32152 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmp0w6yto0g/mesh.msh'...
Info : Done writing '/tmp/tmp0w6yto0g/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
Info : [ 10%] Difference
Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
Info : [ 10%] Fragments
Info : [ 20%] Fragments
Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
Info : [ 10%] Difference
Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
Info : [ 10%] Fragments
Info : [ 20%] Fragments
Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
Info : [ 0%] Meshing curve 2 (Line)
Info : [ 10%] Meshing curve 3 (Line)
Info : [ 10%] Meshing curve 4 (Line)
Info : [ 10%] Meshing curve 5 (Line)
Info : [ 10%] Meshing curve 6 (Line)
Info : [ 10%] Meshing curve 7 (Line)
Info : [ 20%] Meshing curve 8 (Line)
Info : [ 20%] Meshing curve 9 (Line)
Info : [ 20%] Meshing curve 10 (Line)
Info : [ 20%] Meshing curve 11 (Line)
Info : [ 20%] Meshing curve 12 (Line)
Info : [ 20%] Meshing curve 13 (Line)
Info : [ 30%] Meshing curve 14 (Line)
Info : [ 30%] Meshing curve 15 (Line)
Info : [ 30%] Meshing curve 16 (Line)
Info : [ 40%] Meshing curve 17 (Line)
Info : [ 40%] Meshing curve 18 (Line)
Info : [ 40%] Meshing curve 19 (Line)
Info : [ 40%] Meshing curve 20 (Line)
Info : [ 40%] Meshing curve 21 (Line)
Info : [ 40%] Meshing curve 22 (Line)
Info : [ 50%] Meshing curve 25 (Line)
Info : [ 50%] Meshing curve 23 (Line)
Info : [ 50%] Meshing curve 26 (Line)
Info : [ 50%] Meshing curve 27 (Line)
Info : [ 60%] Meshing curve 28 (Line)
Info : [ 60%] Meshing curve 29 (Line)
Info : [ 60%] Meshing curve 30 (Line)
Info : [ 60%] Meshing curve 31 (Line)
Info : [ 60%] Meshing curve 32 (Line)
Info : [ 60%] Meshing curve 33 (Line)
Info : [ 70%] Meshing curve 34 (Line)
Info : [ 70%] Meshing curve 35 (Line)
Info : [ 70%] Meshing curve 36 (Line)
Info : [ 80%] Meshing curve 37 (Line)
Info : [ 80%] Meshing curve 38 (Line)
Info : [ 80%] Meshing curve 40 (Line)
Info : [ 80%] Meshing curve 39 (Line)
Info : [ 50%] Meshing curve 24 (Line)
Info : [ 80%] Meshing curve 41 (Line)
Info : [ 80%] Meshing curve 42 (Line)
Info : [ 80%] Meshing curve 43 (Line)
Info : [ 80%] Meshing curve 44 (Line)
Info : [ 80%] Meshing curve 45 (Line)
Info : [ 80%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.00477146s, CPU 0.013458s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.382389s, CPU 0.424985s)
Info : 17181 nodes 34424 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmpn_5715ni/mesh.msh'...
Info : Done writing '/tmp/tmpn_5715ni/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
Info : [ 10%] Difference
Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
Info : [ 10%] Fragments
Info : [ 20%] Fragments
Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
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Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
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Info : [ 0%] Meshing curve 43 (Line)
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Info : Done meshing 1D (Wall 0.0050878s, CPU 0.010153s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.405406s, CPU 0.456161s)
Info : 17844 nodes 35750 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmpgm8zrdfn/mesh.msh'...
Info : Done writing '/tmp/tmpgm8zrdfn/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
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Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
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Info : [ 80%] Difference - Splitting faces
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Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : Meshing 1D...
Info : [ 0%] Meshing curve 2 (Line)
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Info : [ 60%] Meshing curve 30 (Line)
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Info : [ 60%] Meshing curve 32 (Line)
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Info : [ 80%] Meshing curve 37 (Line)
Info : [ 80%] Meshing curve 38 (Line)
Info : [ 20%] Meshing curve 11 (Line)
Info : [ 80%] Meshing curve 39 (Line)
Info : [ 80%] Meshing curve 40 (Line)
Info : [ 90%] Meshing curve 41 (Line)
Info : [ 90%] Meshing curve 42 (Line)
Info : [ 90%] Meshing curve 43 (Line)
Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [ 90%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.00356489s, CPU 0.006668s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.172434s, CPU 0.198919s)
Info : 7503 nodes 15068 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmpigh45v85/mesh.msh'...
Info : Done writing '/tmp/tmpigh45v85/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
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Info : [ 40%] Difference
Info : [ 50%] Difference
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Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
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Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
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Info : [ 40%] Meshing curve 19 (Line)
Info : [ 40%] Meshing curve 22 (Line)
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Info : [ 40%] Meshing curve 20 (Line)
Info : [ 40%] Meshing curve 24 (Line)
Info : [ 40%] Meshing curve 21 (Line)
Info : [ 50%] Meshing curve 25 (Line)
Info : [ 50%] Meshing curve 26 (Line)
Info : [ 50%] Meshing curve 27 (Line)
Info : [ 60%] Meshing curve 28 (Line)
Info : [ 60%] Meshing curve 29 (Line)
Info : [ 60%] Meshing curve 30 (Line)
Info : [ 60%] Meshing curve 31 (Line)
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Info : [ 60%] Meshing curve 33 (Line)
Info : [ 60%] Meshing curve 34 (Line)
Info : [ 60%] Meshing curve 35 (Line)
Info : [ 60%] Meshing curve 36 (Line)
Info : [ 60%] Meshing curve 37 (Line)
Info : [ 60%] Meshing curve 38 (Line)
Info : [ 60%] Meshing curve 39 (Line)
Info : [ 60%] Meshing curve 40 (Line)
Info : [ 60%] Meshing curve 41 (Line)
Info : [ 60%] Meshing curve 42 (Line)
Info : [ 60%] Meshing curve 43 (Line)
Info : [ 60%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [ 90%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.00467819s, CPU 0.010311s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.19383s, CPU 0.225958s)
Info : 8606 nodes 17274 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmpk9qmp68m/mesh.msh'...
Info : Done writing '/tmp/tmpk9qmp68m/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
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Info : [ 50%] Difference
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Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
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Info : [ 50%] Fragments
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Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
Info : [ 0%] Meshing curve 2 (Line)
Info : [ 0%] Meshing curve 3 (Line)
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Info : [ 0%] Meshing curve 17 (Line)
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Info : [ 0%] Meshing curve 19 (Line)
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Info : [ 0%] Meshing curve 21 (Line)
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Info : [ 0%] Meshing curve 25 (Line)
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Info : [ 0%] Meshing curve 27 (Line)
Info : [ 0%] Meshing curve 28 (Line)
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Info : [ 0%] Meshing curve 30 (Line)
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Info : [ 0%] Meshing curve 32 (Line)
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Info : [ 0%] Meshing curve 38 (Line)
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Info : [ 0%] Meshing curve 40 (Line)
Info : [ 0%] Meshing curve 41 (Line)
Info : [ 0%] Meshing curve 42 (Line)
Info : [ 0%] Meshing curve 43 (Line)
Info : [ 0%] Meshing curve 44 (Line)
Info : [ 0%] Meshing curve 45 (Line)
Info : [ 0%] Meshing curve 46 (Line)
Info : [ 0%] Meshing curve 6 (Line)
Info : Done meshing 1D (Wall 0.00520287s, CPU 0.011869s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.21776s, CPU 0.248561s)
Info : 9735 nodes 19532 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmpab6tkonl/mesh.msh'...
Info : Done writing '/tmp/tmpab6tkonl/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
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Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
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Info : [ 20%] Fragments
Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
Info : [ 0%] Meshing curve 2 (Line)
Info : [ 0%] Meshing curve 3 (Line)
Info : [ 10%] Meshing curve 4 (Line)
Info : [ 10%] Meshing curve 5 (Line)
Info : [ 10%] Meshing curve 6 (Line)
Info : [ 10%] Meshing curve 7 (Line)
Info : [ 10%] Meshing curve 8 (Line)
Info : [ 10%] Meshing curve 9 (Line)
Info : [ 20%] Meshing curve 10 (Line)
Info : [ 20%] Meshing curve 11 (Line)
Info : [ 20%] Meshing curve 12 (Line)
Info : [ 30%] Meshing curve 13 (Line)
Info : [ 30%] Meshing curve 14 (Line)
Info : [ 30%] Meshing curve 15 (Line)
Info : [ 30%] Meshing curve 16 (Line)
Info : [ 30%] Meshing curve 17 (Line)
Info : [ 30%] Meshing curve 18 (Line)
Info : [ 30%] Meshing curve 19 (Line)
Info : [ 40%] Meshing curve 20 (Line)
Info : [ 40%] Meshing curve 21 (Line)
Info : [ 40%] Meshing curve 22 (Line)
Info : [ 40%] Meshing curve 23 (Line)
Info : [ 50%] Meshing curve 24 (Line)
Info : [ 50%] Meshing curve 25 (Line)
Info : [ 50%] Meshing curve 26 (Line)
Info : [ 50%] Meshing curve 27 (Line)
Info : [ 60%] Meshing curve 28 (Line)
Info : [ 60%] Meshing curve 29 (Line)
Info : [ 60%] Meshing curve 30 (Line)
Info : [ 60%] Meshing curve 31 (Line)
Info : [ 70%] Meshing curve 32 (Line)
Info : [ 70%] Meshing curve 33 (Line)
Info : [ 70%] Meshing curve 34 (Line)
Info : [ 70%] Meshing curve 35 (Line)
Info : [ 70%] Meshing curve 36 (Line)
Info : [ 70%] Meshing curve 37 (Line)
Info : [ 70%] Meshing curve 38 (Line)
Info : [ 70%] Meshing curve 39 (Line)
Info : [ 80%] Meshing curve 40 (Line)
Info : [ 80%] Meshing curve 41 (Line)
Info : [ 80%] Meshing curve 42 (Line)
Info : [ 80%] Meshing curve 43 (Line)
Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [ 90%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.0018732s, CPU 0.00259s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.2442s, CPU 0.279309s)
Info : 10845 nodes 21752 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmpd5a9vis0/mesh.msh'...
Info : Done writing '/tmp/tmpd5a9vis0/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
Info : [ 10%] Difference
Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
Info : [ 10%] Fragments
Info : [ 20%] Fragments
Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
Info : [ 10%] Difference
Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
Info : [ 10%] Fragments
Info : [ 20%] Fragments
Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 2 (Line)
Info : [ 0%] Meshing curve 1 (Line)
Info : [ 0%] Meshing curve 3 (Line)
Info : [ 0%] Meshing curve 4 (Line)
Info : [ 0%] Meshing curve 5 (Line)
Info : [ 0%] Meshing curve 6 (Line)
Info : [ 0%] Meshing curve 7 (Line)
Info : [ 0%] Meshing curve 8 (Line)
Info : [ 0%] Meshing curve 9 (Line)
Info : [ 0%] Meshing curve 10 (Line)
Info : [ 0%] Meshing curve 11 (Line)
Info : [ 0%] Meshing curve 12 (Line)
Info : [ 0%] Meshing curve 13 (Line)
Info : [ 0%] Meshing curve 14 (Line)
Info : [ 0%] Meshing curve 15 (Line)
Info : [ 0%] Meshing curve 16 (Line)
Info : [ 0%] Meshing curve 18 (Line)
Info : [ 0%] Meshing curve 19 (Line)
Info : [ 0%] Meshing curve 20 (Line)
Info : [ 0%] Meshing curve 21 (Line)
Info : [ 0%] Meshing curve 22 (Line)
Info : [ 0%] Meshing curve 23 (Line)
Info : [ 0%] Meshing curve 24 (Line)
Info : [ 0%] Meshing curve 25 (Line)
Info : [ 0%] Meshing curve 26 (Line)
Info : [ 0%] Meshing curve 27 (Line)
Info : [ 0%] Meshing curve 28 (Line)
Info : [ 0%] Meshing curve 29 (Line)
Info : [ 0%] Meshing curve 30 (Line)
Info : [ 0%] Meshing curve 31 (Line)
Info : [ 0%] Meshing curve 32 (Line)
Info : [ 0%] Meshing curve 33 (Line)
Info : [ 0%] Meshing curve 34 (Line)
Info : [ 0%] Meshing curve 35 (Line)
Info : [ 0%] Meshing curve 36 (Line)
Info : [ 0%] Meshing curve 37 (Line)
Info : [ 0%] Meshing curve 38 (Line)
Info : [ 0%] Meshing curve 39 (Line)
Info : [ 0%] Meshing curve 40 (Line)
Info : [ 0%] Meshing curve 41 (Line)
Info : [ 0%] Meshing curve 42 (Line)
Info : [ 0%] Meshing curve 43 (Line)
Info : [ 0%] Meshing curve 44 (Line)
Info : [ 0%] Meshing curve 17 (Line)
Info : [ 0%] Meshing curve 45 (Line)
Info : [100%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.00305414s, CPU 0.008523s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.274277s, CPU 0.309732s)
Info : 11889 nodes 23840 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmp_nmu3hv1/mesh.msh'...
Info : Done writing '/tmp/tmp_nmu3hv1/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
Info : [ 10%] Difference
Info : [ 20%] Difference
Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
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Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : Meshing 1D...
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Info : [ 90%] Meshing curve 43 (Line)
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Info : [ 90%] Meshing curve 45 (Line)
Info : [100%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.00522901s, CPU 0.014652s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.303993s, CPU 0.345297s)
Info : 12743 nodes 25548 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmphjwzs292/mesh.msh'...
Info : Done writing '/tmp/tmphjwzs292/mesh.msh'
Info : [ 0%] Difference
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Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
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Info : [ 30%] Difference
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Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
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Info : [ 90%] Meshing curve 43 (Line)
Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [ 90%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.00186337s, CPU 0.001857s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.335888s, CPU 0.379049s)
Info : 13924 nodes 27910 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmp4nlzxlhg/mesh.msh'...
Info : Done writing '/tmp/tmp4nlzxlhg/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
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Info : [ 80%] Difference - Making faces
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Info : [ 0%] Fragments
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Info : Meshing 1D...
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Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [ 90%] Meshing curve 46 (Line)
Info : [ 70%] Meshing curve 37 (Line)
Info : Done meshing 1D (Wall 0.0047524s, CPU 0.012878s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.348021s, CPU 0.389563s)
Info : 14923 nodes 29908 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmpqti47i2k/mesh.msh'...
Info : Done writing '/tmp/tmpqti47i2k/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
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Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
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Info : [ 80%] Difference - Splitting faces
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Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 50%] Difference
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Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
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Info : [ 0%] Meshing curve 6 (Line)
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Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [ 90%] Meshing curve 46 (Line)
Info : [ 70%] Meshing curve 33 (Line)
Info : Done meshing 1D (Wall 0.00342682s, CPU 0.007018s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.372085s, CPU 0.413495s)
Info : 16008 nodes 32078 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmp5rustz2e/mesh.msh'...
Info : Done writing '/tmp/tmp5rustz2e/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
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Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
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Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
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Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : [ 50%] Fragments
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Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
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Info : [ 70%] Meshing curve 34 (Line)
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Info : [ 80%] Meshing curve 42 (Line)
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Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [100%] Meshing curve 46 (Line)
Info : [ 0%] Meshing curve 31 (Line)
Info : Done meshing 1D (Wall 0.00561036s, CPU 0.015119s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.397835s, CPU 0.451322s)
Info : 17184 nodes 34430 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmpf1r4iqnp/mesh.msh'...
Info : Done writing '/tmp/tmpf1r4iqnp/mesh.msh'
Info : [ 0%] Difference
Info : [ 10%] Difference - Performing intersection of shapes
Info : [ 80%] Difference - Building splits of containers
Info : [ 0%] Fragments
Info : [ 10%] Fragments - Performing intersection of shapes
Info : [ 80%] Fragments - Building splits of containers
Info : [ 0%] Difference
Info : [ 10%] Difference
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Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Splitting faces
Info : [ 0%] Fragments
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Info : [ 30%] Fragments
Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : [ 0%] Difference
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Info : [ 30%] Difference
Info : [ 40%] Difference
Info : [ 50%] Difference
Info : [ 60%] Difference
Info : [ 70%] Difference
Info : [ 80%] Difference - Making faces
Info : [ 90%] Difference - Adding holes
Info : [ 0%] Fragments
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Info : [ 40%] Fragments
Info : [ 50%] Fragments
Info : [ 60%] Fragments
Info : [ 70%] Fragments
Info : [ 80%] Fragments - Splitting faces
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
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Info : [ 0%] Meshing curve 41 (Line)
Info : [ 90%] Meshing curve 42 (Line)
Info : [ 90%] Meshing curve 43 (Line)
Info : [ 90%] Meshing curve 44 (Line)
Info : [ 90%] Meshing curve 45 (Line)
Info : [100%] Meshing curve 46 (Line)
Info : Done meshing 1D (Wall 0.00233452s, CPU 0.002946s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 4 (Plane, Frontal-Delaunay)
Info : [ 0%] Meshing surface 3 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.39125s, CPU 0.441137s)
Info : 17908 nodes 35878 elements
Info : Writing 'mesh.msh'...
Info : Done writing 'mesh.msh'
Info : Writing '/tmp/tmpm75z67uj/mesh.msh'...
Info : Done writing '/tmp/tmpm75z67uj/mesh.msh'
<matplotlib.legend.Legend at 0x7febf05bfc10>
colors = ["tab:blue", "tab:orange", "tab:green"]
for dielectric_epsilon, color in zip([1, 3.9, 16], colors):
reference = np.array(widths) * dielectric_epsilon / separation
plt.plot(
widths,
np.array(Cs_dict[dielectric_epsilon]) / reference,
color=color,
linestyle="-",
label=dielectric_epsilon,
)
plt.xlabel("Width (a.u.)")
plt.ylabel(r"Relative error in capacitance per unit length / $\epsilon_0$ (a.u.)")
plt.legend(title="Dielectric")
<matplotlib.legend.Legend at 0x7febf04c3f40>
The solver reproduces the parallel-plate capacitor result. For small widths, there is a greater discrepancy between the theoretical parallel plate and the simulated due to the higher relative impact of fringe fields. There is also a constant offset that persists at large widths due to the fringe field contribution. The relative importance of the fringe fields is reduced with increasing dielectric constant which forces more field lines between the two electrodes, as expected.