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")] )