def Torus(show_plot=False):
"""Custom mesh for torus
"""
raise NotImplementedError("Not fully implemented yet")
# MAKE TORUS WORK
from copy import deepcopy
from numpy.linalg import norm
mesh = Mesh()
mesh.Circle(element_type="quad", ncirc=2, nrad=2)
tmesh = deepcopy(mesh)
arc = GeometricArc(start=(10, 10, 8), end=(10, 10, -8))
# arc.GeometricArc()
nlong = 10
points = mesh.Extrude(path=arc, nlong=nlong)
# mesh.SimplePlot()
# print points
# elem_nodes = tmesh.elements[0,:]
# p1 = tmesh.points[elem_nodes[0],:]
# p2 = tmesh.points[elem_nodes[1],:]
# p3 = tmesh.points[elem_nodes[2],:]
# p4 = tmesh.points[elem_nodes[3],:]
# E1 = np.append(p2 - p1, 0.0)
# E2 = np.append(p4 - p1, 0.0)
# E3 = np.array([0,0,1.])
# E1 /= norm(E1)
# E2 /= norm(E2)
# # print E1,E2,E3
# elem_nodes = mesh.elements[0,:]
# p1 = mesh.points[elem_nodes[0],:]
# p2 = mesh.points[elem_nodes[1],:]
# p3 = mesh.points[elem_nodes[2],:]
# p4 = mesh.points[elem_nodes[3],:]
# p5 = mesh.points[elem_nodes[4],:]
# e1 = p2 - p1
# e2 = p4 - p1
# e3 = p5 - p1
# e1 /= norm(e1)
# e2 /= norm(e2)
# e3 /= norm(e3)
# # print e1,e2,e3
# # TRANSFORMATION MATRIX
# Q = np.array([
# [np.einsum('i,i',e1,E1), np.einsum('i,i',e1,E2), np.einsum('i,i',e1,E3)],
# [np.einsum('i,i',e2,E1), np.einsum('i,i',e2,E2), np.einsum('i,i',e2,E3)],
# [np.einsum('i,i',e3,E1), np.einsum('i,i',e3,E2), np.einsum('i,i',e3,E3)]
# ])
# mesh.points = np.dot(mesh.points,Q.T)
# points = np.dot(points,Q)
# E1 = np.array([1,0,0.])
E3 = np.array([0., 0., 1.])
nnode_2D = tmesh.points.shape[0]
for i in range(nlong + 1):
# e1 = points[i,:][None,:]/norm(points[i,:])
# Q = np.dot(E1[:,None],e1)
# vpoints = np.dot(points,Q)
e3 = points[i + 1, :] - points[i, :]
e3 /= norm(e3)
Q = np.dot(e3[:, None], E3[None, :])
# print Q
# print np.dot(Q,points[i,:][:,None])
vpoints = np.dot(points, Q)
# print current_points
mesh.points[nnode_2D * i:nnode_2D *
(i + 1), :2] = tmesh.points + points[i, :2]
mesh.points[nnode_2D * i:nnode_2D * (i + 1), 2] = vpoints[i, 2]
# print Q
# print tmesh.points
# mesh = Mesh.HexahedralProjection()
if show_plot:
mesh.SimplePlot()
return mesh
def HarvesterPatch(ndisc=20, nradial=4, show_plot=False):
"""Creates a custom mesh for an energy harvester patch. [Not to be modified]
ndisc: [int] number of discretisation in c
ndradial: [int] number of discretisation in radial directions for different
components of harevester
"""
center = np.array([30.6979, 20.5])
p1 = np.array([30., 20.])
p2 = np.array([30., 21.])
p1line = p1 - center
p2line = p2 - center
radius = np.linalg.norm(p1line)
pp = np.array([center[0], center[1] + radius])
y_line = pp - center
start_angle = -np.pi / 2. - np.arccos(
np.linalg.norm(y_line * p1line) / np.linalg.norm(y_line) /
np.linalg.norm(p1line))
end_angle = np.pi / 2. + np.arccos(
np.linalg.norm(y_line * p1line) / np.linalg.norm(y_line) /
np.linalg.norm(p1line))
points = np.array([p1, p2, center])
# nradial = 4
mesh = Mesh()
mesh.Arc(element_type="quad",
radius=radius,
start_angle=start_angle,
end_angle=end_angle,
nrad=nradial,
ncirc=ndisc,
center=(center[0], center[1]),
refinement=True)
mesh1 = Mesh()
mesh1.Triangle(element_type="quad",
npoints=nradial,
c1=totuple(center),
c2=totuple(p1),
c3=totuple(p2))
mesh += mesh1
mesh_patch = Mesh()
mesh_patch.HollowArc(ncirc=ndisc,
nrad=nradial,
center=(-7.818181, 44.22727272),
start_angle=np.arctan(44.22727272 / -7.818181),
end_angle=np.arctan(-24.22727272 / 37.818181),
element_type="quad",
inner_radius=43.9129782,
outer_radius=44.9129782)
mesh3 = Mesh()
mesh3.Triangle(element_type="quad",
npoints=nradial,
c2=totuple(p1),
c3=totuple(p2),
c1=(mesh_patch.points[0, 0], mesh_patch.points[0, 1]))
mesh += mesh3
mesh += mesh_patch
mesh.Extrude(nlong=ndisc, length=40)
if show_plot:
mesh.SimplePlot()
return mesh