def make_wingmesh():
import numpy
from math import pi, cos, sin
from meshpy.tet import MeshInfo, build
from meshpy.geometry import GeometryBuilder, Marker, \
generate_extrusion, make_box
geob = GeometryBuilder()
profile_marker = Marker.FIRST_USER_MARKER
wing_length = 2
wing_subdiv = 5
rz_points = [
(0, -wing_length * 1.05),
(0.7, -wing_length * 1.05),
] + [(r, x) for x, r in zip(
numpy.linspace(-wing_length, 0, wing_subdiv, endpoint=False),
numpy.linspace(0.8, 1, wing_subdiv, endpoint=False))] + [(1, 0)] + [
(r, x) for x, r in zip(
numpy.linspace(wing_length, 0, wing_subdiv, endpoint=False),
numpy.linspace(0.8, 1, wing_subdiv, endpoint=False))
][::-1] + [(0.7, wing_length * 1.05), (0, wing_length * 1.05)]
from meshpy.naca import get_naca_points
geob.add_geometry(*generate_extrusion(
rz_points=rz_points,
base_shape=get_naca_points("0012", number_of_points=20),
ring_markers=(wing_subdiv * 2 + 4) * [profile_marker]))
def deform_wing(p):
x, y, z = p
return numpy.array([
x + 0.8 * abs(z / wing_length)**1.2,
y + 0.1 * abs(z / wing_length)**2, z
])
geob.apply_transform(deform_wing)
points, facets, facet_markers = make_box(
numpy.array([-1.5, -1, -wing_length - 1], dtype=numpy.float64),
numpy.array([3, 1, wing_length + 1], dtype=numpy.float64))
geob.add_geometry(points, facets, facet_markers=facet_markers)
mesh_info = MeshInfo()
geob.set(mesh_info)
mesh_info.set_holes([(0.5, 0, 0)])
mesh = build(mesh_info)
print("%d elements" % len(mesh.elements))
fvi2fm = mesh.face_vertex_indices_to_face_marker
face_marker_to_tag = {
profile_marker: "noslip",
Marker.MINUS_X: "inflow",
Marker.PLUS_X: "outflow",
Marker.MINUS_Y: "inflow",
Marker.PLUS_Y: "inflow",
Marker.PLUS_Z: "inflow",
Marker.MINUS_Z: "inflow"
}
def bdry_tagger(fvi, el, fn, all_v):
face_marker = fvi2fm[fvi]
return [face_marker_to_tag[face_marker]]
from grudge.mesh import make_conformal_mesh
return make_conformal_mesh(mesh.points, mesh.elements, bdry_tagger)
def make_wingmesh():
import numpy
from math import pi, cos, sin
from meshpy.tet import MeshInfo, build
from meshpy.geometry import GeometryBuilder, Marker, \
generate_extrusion, make_box
geob = GeometryBuilder()
profile_marker = Marker.FIRST_USER_MARKER
wing_length = 2
wing_subdiv = 5
rz_points = [
(0, -wing_length*1.05),
(0.7, -wing_length*1.05),
] + [
(r, x) for x, r in zip(
numpy.linspace(-wing_length, 0, wing_subdiv, endpoint=False),
numpy.linspace(0.8, 1, wing_subdiv, endpoint=False))
] + [(1,0)] + [
(r, x) for x, r in zip(
numpy.linspace(wing_length, 0, wing_subdiv, endpoint=False),
numpy.linspace(0.8, 1, wing_subdiv, endpoint=False))
][::-1] + [
(0.7, wing_length*1.05),
(0, wing_length*1.05)
]
from meshpy.naca import get_naca_points
geob.add_geometry(*generate_extrusion(
rz_points=rz_points,
base_shape=get_naca_points("0012", number_of_points=20),
ring_markers=(wing_subdiv*2+4)*[profile_marker]))
def deform_wing(p):
x, y, z = p
return numpy.array([
x + 0.8*abs(z/wing_length)** 1.2,
y + 0.1*abs(z/wing_length)**2,
z])
geob.apply_transform(deform_wing)
points, facets, facet_markers = make_box(
numpy.array([-1.5,-1,-wing_length-1], dtype=numpy.float64),
numpy.array([3,1,wing_length+1], dtype=numpy.float64))
geob.add_geometry(points, facets, facet_markers=facet_markers)
mesh_info = MeshInfo()
geob.set(mesh_info)
mesh_info.set_holes([(0.5,0,0)])
mesh = build(mesh_info)
print "%d elements" % len(mesh.elements)
fvi2fm = mesh.face_vertex_indices_to_face_marker
face_marker_to_tag = {
profile_marker: "noslip",
Marker.MINUS_X: "inflow",
Marker.PLUS_X: "outflow",
Marker.MINUS_Y: "inflow",
Marker.PLUS_Y: "inflow",
Marker.PLUS_Z: "inflow",
Marker.MINUS_Z: "inflow"
}
def bdry_tagger(fvi, el, fn, all_v):
face_marker = fvi2fm[fvi]
return [face_marker_to_tag[face_marker]]
from hedge.mesh import make_conformal_mesh
return make_conformal_mesh(mesh.points, mesh.elements, bdry_tagger)
def main():
import numpy
# from math import pi, cos, sin
from meshpy.tet import MeshInfo, build
from meshpy.geometry import GeometryBuilder, Marker, generate_extrusion, make_box
from meshpy.naca import get_naca_points
geob = GeometryBuilder()
box_marker = Marker.FIRST_USER_MARKER
wing_length = 2
wing_subdiv = 5
rz_points = ([
(0, -wing_length * 1.05),
(0.7, -wing_length * 1.05),
] + [(r, x) for x, r in zip(
numpy.linspace(-wing_length, 0, wing_subdiv, endpoint=False),
numpy.linspace(0.8, 1, wing_subdiv, endpoint=False),
)] + [(1, 0)] + [(r, x) for x, r in zip(
numpy.linspace(wing_length, 0, wing_subdiv, endpoint=False),
numpy.linspace(0.8, 1, wing_subdiv, endpoint=False),
)][::-1] + [(0.7, wing_length * 1.05), (0, wing_length * 1.05)])
geob.add_geometry(*generate_extrusion(
rz_points=rz_points,
base_shape=get_naca_points("0012", verbose=False, number_of_points=20),
ring_markers=(wing_subdiv * 2 + 4) * [box_marker],
))
from meshpy.tools import make_swizzle_matrix
swizzle_matrix = make_swizzle_matrix("z:x,y:y,x:z")
geob.apply_transform(lambda p: numpy.dot(swizzle_matrix, p))
def deform_wing(p):
x, y, z = p
return numpy.array([
x,
y + 0.1 * abs(x / wing_length)**2,
z + 0.8 * abs(x / wing_length)**1.2,
])
geob.apply_transform(deform_wing)
points, facets, _, facet_markers = make_box(
numpy.array([-wing_length - 1, -1, -1.5]),
numpy.array([wing_length + 1, 1, 3]))
geob.add_geometry(points, facets, facet_markers=facet_markers)
mesh_info = MeshInfo()
geob.set(mesh_info)
mesh_info.set_holes([(0, 0, 0.5)])
mesh = build(mesh_info)
print("%d elements" % len(mesh.elements))
mesh.write_vtk("airfoil3d.vtk")
def main():
import numpy
#from math import pi, cos, sin
from meshpy.tet import MeshInfo, build
from meshpy.geometry import GeometryBuilder, Marker, \
generate_extrusion, make_box
from meshpy.naca import get_naca_points
geob = GeometryBuilder()
box_marker = Marker.FIRST_USER_MARKER
wing_length = 2
wing_subdiv = 5
rz_points = [
(0, -wing_length*1.05),
(0.7, -wing_length*1.05),
] + [
(r, x) for x, r in zip(
numpy.linspace(-wing_length, 0, wing_subdiv, endpoint=False),
numpy.linspace(0.8, 1, wing_subdiv, endpoint=False))
] + [(1, 0)] + [
(r, x) for x, r in zip(
numpy.linspace(wing_length, 0, wing_subdiv, endpoint=False),
numpy.linspace(0.8, 1, wing_subdiv, endpoint=False))
][::-1] + [
(0.7, wing_length*1.05),
(0, wing_length*1.05)
]
geob.add_geometry(*generate_extrusion(
rz_points=rz_points,
base_shape=get_naca_points("0012", verbose=False, number_of_points=20),
ring_markers=(wing_subdiv*2+4)*[box_marker]))
from meshpy.tools import make_swizzle_matrix
swizzle_matrix = make_swizzle_matrix("z:x,y:y,x:z")
geob.apply_transform(lambda p: numpy.dot(swizzle_matrix, p))
def deform_wing(p):
x, y, z = p
return numpy.array([
x,
y + 0.1*abs(x/wing_length)**2,
z + 0.8*abs(x/wing_length) ** 1.2])
geob.apply_transform(deform_wing)
points, facets, _, facet_markers = make_box(
numpy.array([-wing_length-1, -1, -1.5]),
numpy.array([wing_length+1, 1, 3]))
geob.add_geometry(points, facets, facet_markers=facet_markers)
mesh_info = MeshInfo()
geob.set(mesh_info)
mesh_info.set_holes([(0, 0, 0.5)])
mesh = build(mesh_info)
print("%d elements" % len(mesh.elements))
mesh.write_vtk("airfoil3d.vtk")
def make_nacamesh():
def round_trip_connect(seq):
result = []
for i in range(len(seq)):
result.append((i, (i + 1) % len(seq)))
return result
pt_back = numpy.array([1, 0])
#def max_area(pt):
#max_area_front = 1e-2*la.norm(pt)**2 + 1e-5
#max_area_back = 1e-2*la.norm(pt-pt_back)**2 + 1e-4
#return min(max_area_front, max_area_back)
def max_area(pt):
x = pt[0]
if x < 0:
return 1e-2 * la.norm(pt)**2 + 1e-5
elif x > 1:
return 1e-2 * la.norm(pt - pt_back)**2 + 1e-5
else:
return 1e-2 * pt[1]**2 + 1e-5
def needs_refinement(vertices, area):
barycenter = sum(numpy.array(v) for v in vertices) / 3
return bool(area > max_area(barycenter))
from meshpy.naca import get_naca_points
points = get_naca_points(naca_digits="2412", number_of_points=80)
from meshpy.geometry import GeometryBuilder, Marker
from meshpy.triangle import write_gnuplot_mesh
profile_marker = Marker.FIRST_USER_MARKER
builder = GeometryBuilder()
builder.add_geometry(points=points,
facets=round_trip_connect(points),
facet_markers=profile_marker)
builder.wrap_in_box(4, (10, 8))
from meshpy.triangle import MeshInfo, build
mi = MeshInfo()
builder.set(mi)
mi.set_holes([builder.center()])
mesh = build(
mi,
refinement_func=needs_refinement,
#allow_boundary_steiner=False,
generate_faces=True)
write_gnuplot_mesh("mesh.dat", mesh)
print("%d elements" % len(mesh.elements))
fvi2fm = mesh.face_vertex_indices_to_face_marker
face_marker_to_tag = {
profile_marker: "noslip",
Marker.MINUS_X: "inflow",
Marker.PLUS_X: "outflow",
Marker.MINUS_Y: "inflow",
Marker.PLUS_Y: "inflow"
#Marker.MINUS_Y: "minus_y",
#Marker.PLUS_Y: "plus_y"
}
def bdry_tagger(fvi, el, fn, all_v):
face_marker = fvi2fm[fvi]
return [face_marker_to_tag[face_marker]]
from grudge.mesh import make_conformal_mesh_ext
vertices = numpy.asarray(mesh.points, order="C")
from grudge.mesh.element import Triangle
return make_conformal_mesh_ext(
vertices,
[
Triangle(i, el_idx, vertices)
for i, el_idx in enumerate(mesh.elements)
],
bdry_tagger,
#periodicity=[None, ("minus_y", "plus_y")]
)
def make_nacamesh():
def round_trip_connect(seq):
result = []
for i in range(len(seq)):
result.append((i, (i + 1) % len(seq)))
return result
pt_back = numpy.array([1, 0])
# def max_area(pt):
# max_area_front = 1e-2*la.norm(pt)**2 + 1e-5
# max_area_back = 1e-2*la.norm(pt-pt_back)**2 + 1e-4
# return min(max_area_front, max_area_back)
def max_area(pt):
x = pt[0]
if x < 0:
return 1e-2 * la.norm(pt) ** 2 + 1e-5
elif x > 1:
return 1e-2 * la.norm(pt - pt_back) ** 2 + 1e-5
else:
return 1e-2 * pt[1] ** 2 + 1e-5
def needs_refinement(vertices, area):
barycenter = sum(numpy.array(v) for v in vertices) / 3
return bool(area > max_area(barycenter))
from meshpy.naca import get_naca_points
points = get_naca_points(naca_digits="2412", number_of_points=80)
from meshpy.geometry import GeometryBuilder, Marker
from meshpy.triangle import write_gnuplot_mesh
profile_marker = Marker.FIRST_USER_MARKER
builder = GeometryBuilder()
builder.add_geometry(points=points, facets=round_trip_connect(points), facet_markers=profile_marker)
builder.wrap_in_box(4, (10, 8))
from meshpy.triangle import MeshInfo, build
mi = MeshInfo()
builder.set(mi)
mi.set_holes([builder.center()])
mesh = build(
mi,
refinement_func=needs_refinement,
# allow_boundary_steiner=False,
generate_faces=True,
)
write_gnuplot_mesh("mesh.dat", mesh)
print "%d elements" % len(mesh.elements)
fvi2fm = mesh.face_vertex_indices_to_face_marker
face_marker_to_tag = {
profile_marker: "noslip",
Marker.MINUS_X: "inflow",
Marker.PLUS_X: "outflow",
Marker.MINUS_Y: "inflow",
Marker.PLUS_Y: "inflow"
# Marker.MINUS_Y: "minus_y",
# Marker.PLUS_Y: "plus_y"
}
def bdry_tagger(fvi, el, fn, all_v):
face_marker = fvi2fm[fvi]
return [face_marker_to_tag[face_marker]]
from hedge.mesh import make_conformal_mesh_ext
vertices = numpy.asarray(mesh.points, order="C")
from hedge.mesh.element import Triangle
return make_conformal_mesh_ext(
vertices,
[Triangle(i, el_idx, vertices) for i, el_idx in enumerate(mesh.elements)],
bdry_tagger,
# periodicity=[None, ("minus_y", "plus_y")]
)