Controlling mesh resolution#
Coarse global resolution#
The keyword arguments default_resolution_min and default_resolution_max set the minimum and maximum characteristic lengths used by gmsh when computing the mesh.
They are used when other resolutions are not provided, and default_resolution_max effectively sets the minimum length possible, since when conflicting resolution at a point are given, the smallest one is taken.
import gdsfactory as gf
import meshio
from gdsfactory.generic_tech import get_generic_pdk
from gdsfactory.pdk import get_layer_stack
from gdsfactory.technology import LayerStack
from skfem.io import from_meshio
from gplugins.gmsh.get_mesh import create_physical_mesh, get_mesh
PDK = get_generic_pdk()
PDK.activate()
gf.config.rich_output()
waveguide = gf.components.straight_pin(length=10, taper=None)
waveguide.trim(left=3, right=5, top=+4, bottom=-4)
waveguide.plot()
filtered_layer_stack = LayerStack(
layers={
k: get_layer_stack().layers[k]
for k in (
"slab90",
"core",
"via_contact",
)
}
)
filename = "mesh"
def mesh_with_physicals(mesh, filename):
mesh_from_file = meshio.read(f"{filename}.msh")
return create_physical_mesh(mesh_from_file, "triangle")
With default_resolution_max set to 1 um and default_resolution_min set to 100 nm:
mesh = get_mesh(
component=waveguide,
type="uz",
xsection_bounds=[(4, -4), (4, 4)],
layer_stack=filtered_layer_stack,
filename=f"{filename}.msh",
background_tag="oxide",
background_padding=(2.0, 2.0, 2.0, 2.0),
default_resolution_min=0.1,
default_resolution_max=1,
)
mesh = mesh_with_physicals(mesh, filename)
mesh = from_meshio(mesh)
mesh.draw().plot()
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Info : Done meshing 2D (Wall 0.0135705s, CPU 0.040464s)
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[]
With default_resolution_max set to 300 nm and default_resolution_max set to 50 nm:
mesh = get_mesh(
component=waveguide,
type="uz",
xsection_bounds=[(4, -4), (4, 4)],
layer_stack=filtered_layer_stack,
filename=f"{filename}.msh",
background_tag="oxide",
background_padding=(2.0, 2.0, 2.0, 2.0),
default_resolution_min=0.05,
default_resolution_max=0.3,
)
mesh = mesh_with_physicals(mesh, filename)
mesh = from_meshio(mesh)
mesh.draw().show()
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Info : Done meshing 1D (Wall 0.026968s, CPU 0.067201s)
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Info : Done meshing 2D (Wall 0.0165038s, CPU 0.044789s)
Info : 504 nodes 1093 elements
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Label-wise coarse resolution control#
An advantage of finite-volume and finite-element schemes is the ability for different nodes to have different characteristics lengths.
This simply achieved to first order here by supplying a resolutions dict with keys referencing the LayerStack names, and for value a second dict with keys resolution and DistMax / SizeMax (see gmsh documentation) which control, respectively, the characteristic length within a region and the dropoff away from interfaces with this region.
For example, to refine within the core only, one could use:
resolutions = {"core": {"resolution": 0.05, "distance": 0}}
mesh = get_mesh(
component=waveguide,
type="uz",
xsection_bounds=[(4, -4), (4, 4)],
layer_stack=filtered_layer_stack,
filename=f"{filename}.msh",
background_tag="oxide",
background_padding=(2.0, 2.0, 2.0, 2.0),
resolutions=resolutions,
)
mesh = mesh_with_physicals(mesh, filename)
mesh = from_meshio(mesh)
mesh.draw().show()
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Info : Done meshing 1D (Wall 0.00178915s, CPU 0.005185s)
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Info : Done meshing 2D (Wall 0.0296379s, CPU 0.056634s)
Info : 786 nodes 1691 elements
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Adding a dropoff at the interface:
resolutions = {"core": {"resolution": 0.05, "DistMax": 1, "SizeMax": 0.2}}
mesh = get_mesh(
component=waveguide,
type="uz",
xsection_bounds=[(4, -4), (4, 4)],
layer_stack=filtered_layer_stack,
filename=f"{filename}.msh",
background_tag="oxide",
background_padding=(2.0, 2.0, 2.0, 2.0),
resolutions=resolutions,
)
mesh = mesh_with_physicals(mesh, filename)
mesh = from_meshio(mesh)
mesh.draw().show()
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Info : Done meshing 1D (Wall 0.0239759s, CPU 0.067618s)
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Info : Done meshing 2D (Wall 0.0247332s, CPU 0.052873s)
Info : 1041 nodes 2225 elements
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Refining multiple elements simultaneously:
resolutions = {
"core": {"resolution": 0.05, "DistMax": 1, "SizeMax": 0.2},
"slab90": {"resolution": 0.02, "DistMax": 1, "SizeMax": 0.2},
"via_contact": {"resolution": 0.2},
"oxide": {"resolution": 1},
}
mesh = get_mesh(
component=waveguide,
type="uz",
xsection_bounds=[(4, -4), (4, 4)],
layer_stack=filtered_layer_stack,
filename=f"{filename}.msh",
background_tag="oxide",
background_padding=(2.0, 2.0, 2.0, 2.0),
resolutions=resolutions,
)
mesh = mesh_with_physicals(mesh, filename)
mesh = from_meshio(mesh)
mesh.draw().show()
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Info : Done meshing 1D (Wall 0.0324188s, CPU 0.116554s)
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Info : Done meshing 2D (Wall 0.163474s, CPU 0.279413s)
Info : 8367 nodes 17627 elements
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Info : Done writing '/tmp/tmp_shvb1qt/mesh.msh'
