mirror of
https://github.com/wassname/simpeg.git
synced 2026-06-29 15:12:14 +08:00
Rowan Cockett
648 lines
21 KiB
Python
648 lines
21 KiB
Python
import numpy as np, scipy.sparse as sp
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from SimPEG.Utils import ndgrid, mkvc, sdiag
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from BaseMesh import BaseMesh
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NUM, ACTIVE, NX, NY, NZ = range(5)
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NUM, ACTIVE, PARENT, EDIR, ENODE0, ENODE1 = range(6)
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NUM, ACTIVE, PARENT, FDIR, FEDGE0, FEDGE1, FEDGE2, FEDGE3 = range(8)
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NUM, ACTIVE, PARENT, CFACE0, CFACE1, CFACE2, CFACE3, CFACE4, CFACE5 = range(9)
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class TreeMesh(BaseMesh):
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def __init__(self, h_in, x0=None):
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assert type(h_in) in [list, tuple], 'h_in must be a list'
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assert len(h_in) > 1, "len(h_in) must be greater than 1"
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h = range(len(h_in))
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for i, h_i in enumerate(h_in):
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if type(h_i) in [int, long, float]:
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# This gives you something over the unit cube.
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h_i = np.ones(int(h_i))/int(h_i)
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assert isinstance(h_i, np.ndarray), ("h[%i] is not a numpy array." % i)
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assert len(h_i.shape) == 1, ("h[%i] must be a 1D numpy array." % i)
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h[i] = h_i[:] # make a copy.
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self.h = h
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if x0 is None:
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x0 = np.zeros(len(h))
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else:
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assert type(x0) in [list, tuple, np.ndarray], 'x0 must be an array'
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x0 = np.array(x0, dtype=float)
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assert len(x0) == self.dim, 'x0 must have the same dimensions as the mesh'
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BaseMesh.__init__(self, np.array([x.size for x in h]), x0)
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if self.dim == 2:
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self._init2D()
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else:
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self._init3D()
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self.isNumbered = False
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def _init2D(self):
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XY = ndgrid(*[np.r_[0, h.cumsum()] for h in self.h])
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nCx, nCy = [len(h) for h in self.h]
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vnC = [nCx , nCy ]
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vnN = [nCx+1, nCy+1]
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vnEx = [nCx , nCy+1]
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vnEy = [nCx+1, nCy ]
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vnFx = [nCx+1, nCy ]
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vnFy = [nCx , nCy+1]
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nC = np.prod(vnC)
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nN = np.prod(vnN)
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nFx = np.prod(vnFx)
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nFy = np.prod(vnFy)
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nF = nFx + nFy
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nEx = np.prod(vnEx)
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nEy = np.prod(vnEy)
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nE = nEx + nEy
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N = np.c_[np.arange(nN), np.ones(nN), XY]
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iN = np.arange(nN, dtype=int).reshape(vnN, order='F')
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# Pointers to the nodes for the edges
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pnEx = np.c_[mkvc(iN[:-1,:]), mkvc(iN[1:,:])]
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pnEy = np.c_[mkvc(iN[:,:-1]), mkvc(iN[:,1:])]
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iEx = np.arange(nEx, dtype=int).reshape(*vnEx, order='F')
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iEy = np.arange(nEy, dtype=int).reshape(*vnEy, order='F') + nEx
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zEx = np.zeros(nEx, dtype=int)
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zEy = np.zeros(nEy, dtype=int)
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Ex = np.c_[mkvc(iEx), zEx+1, zEx-1, zEx+0, pnEx]
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Ey = np.c_[mkvc(iEy), zEy+1, zEy-1, zEy+1, pnEy]
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# Pointers to the edges for the faces
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vFz = np.c_[mkvc(iEx[:,:-1]), mkvc(iEx[:,1:]), mkvc(iEy[:-1,:]), mkvc(iEy[1:,:])]
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iC = np.arange(nC, dtype=int)
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zC = np.zeros(nC, dtype=int)
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C = np.c_[iC, zC+1, zC-1, zC+2, vFz]
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self._nodes = N
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self._edges = np.r_[Ex, Ey]
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self._faces = C
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def _init3D(self):
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XYZ = ndgrid(*[np.r_[0, h.cumsum()] for h in self.h])
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nCx, nCy, nCz = [len(h) for h in self.h]
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vnC = [nCx , nCy , nCz ]
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vnN = [nCx+1, nCy+1, nCz+1]
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vnEx = [nCx , nCy+1, nCz+1]
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vnEy = [nCx+1, nCy , nCz+1]
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vnEz = [nCx+1, nCy+1, nCz ]
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vnFx = [nCx+1, nCy , nCz ]
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vnFy = [nCx , nCy+1, nCz ]
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vnFz = [nCx , nCy , nCz+1]
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nC = np.prod(vnC)
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nN = np.prod(vnN)
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nFx = np.prod(vnFx)
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nFy = np.prod(vnFy)
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nFz = np.prod(vnFz)
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nF = nFx + nFy + nFz
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nEx = np.prod(vnEx)
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nEy = np.prod(vnEy)
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nEz = np.prod(vnEz)
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nE = nEx + nEy + nEz
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N = np.c_[np.arange(XYZ.shape[0]), np.ones(XYZ.shape[0]), XYZ]
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iN = np.arange(nN, dtype=int).reshape(vnN, order='F')
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# Pointers to the nodes for the edges
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pnEx = np.c_[mkvc(iN[:-1,:,:]), mkvc(iN[1:,:,:])]
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pnEy = np.c_[mkvc(iN[:,:-1,:]), mkvc(iN[:,1:,:])]
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pnEz = np.c_[mkvc(iN[:,:,:-1]), mkvc(iN[:,:,1:])]
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iEx = np.arange(nEx, dtype=int).reshape(*vnEx, order='F')
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iEy = np.arange(nEy, dtype=int).reshape(*vnEy, order='F') + nEx
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iEz = np.arange(nEz, dtype=int).reshape(*vnEz, order='F') + nEx + nEy
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zEx = np.zeros(nEx, dtype=int)
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zEy = np.zeros(nEy, dtype=int)
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zEz = np.zeros(nEz, dtype=int)
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Ex = np.c_[mkvc(iEx), zEx+1, zEx-1, zEx+0, pnEx]
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Ey = np.c_[mkvc(iEy), zEy+1, zEy-1, zEy+1, pnEy]
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Ez = np.c_[mkvc(iEz), zEz+1, zEz-1, zEz+2, pnEz]
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# Pointers to the edges for the faces
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peFx = np.c_[ mkvc(iEy[:,:,:-1]), mkvc(iEy[:,:,1:]), mkvc(iEz[:,:-1,:]), mkvc(iEz[:,1:,:])]
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peFy = np.c_[mkvc(iEx[:,:,:-1]), mkvc(iEx[:,:,1:]), mkvc(iEz[:-1,:,:]), mkvc(iEz[1:,:,:])]
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peFz = np.c_[mkvc(iEx[:,:-1,:]), mkvc(iEx[:,1:,:]), mkvc(iEy[:-1,:,:]), mkvc(iEy[1:,:,:]) ]
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iFx = np.arange(nFx, dtype=int).reshape(*vnFx, order='F')
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iFy = np.arange(nFy, dtype=int).reshape(*vnFy, order='F') + nFx
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iFz = np.arange(nFz, dtype=int).reshape(*vnFz, order='F') + nFx + nFy
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zFx = np.zeros(nFx, dtype=int)
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zFy = np.zeros(nFy, dtype=int)
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zFz = np.zeros(nFz, dtype=int)
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Fx = np.c_[mkvc(iFx), zFx+1, zFx-1, zFx+0, peFx]
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Fy = np.c_[mkvc(iFy), zFy+1, zFy-1, zFy+1, peFy]
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Fz = np.c_[mkvc(iFz), zFz+1, zFz-1, zFz+2, peFz]
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# Pointers to the faces for the cells
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pfCx = np.c_[mkvc(iFx[:-1,:,:]), mkvc(iFx[1:,:,:])]
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pfCy = np.c_[mkvc(iFy[:,:-1,:]), mkvc(iFy[:,1:,:])]
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pfCz = np.c_[mkvc(iFz[:,:,:-1]), mkvc(iFz[:,:,1:])]
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iC = np.arange(nC, dtype=int)
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zC = np.zeros(nC, dtype=int)
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C = np.c_[iC, zC+1, zC-1, pfCx, pfCy, pfCz]
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self._nodes = N
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self._edges = np.r_[Ex, Ey, Ez]
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self._faces = np.r_[Fx, Fy, Fz]
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self._cells = C
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@property
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def isNumbered(self):
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return self._numberedCC and self._numberedN and self._numberedEx and self._numberedEy
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@isNumbered.setter
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def isNumbered(self, value):
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assert value is False, 'Can only set to False.'
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self._numberedCC = False
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self._numberedN = False
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self._numberedEx = False
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self._numberedEy = False
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for name in ['vol', 'area', 'edge', 'gridCC', 'gridN', 'gridEx', 'gridEy', 'gridEz', 'gridFx', 'gridFy', 'gridFz']:
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if hasattr(self, '_'+name):
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delattr(self, '_'+name)
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@property
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def nC(self):
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if self.dim == 2:
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return np.sum(self._faces[:,ACTIVE] == 1)
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return np.sum(self._cells[:,ACTIVE] == 1)
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@property
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def nN(self):
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return np.sum(self._nodes[:,ACTIVE] == 1)
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@property
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def nE(self):
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if self.dim == 2:
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return self.nEx + self.nEy
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return self.nEx + self.nEy + self.nEz
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@property
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def nF(self):
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if self.dim == 2:
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return self.nFx + self.nFy
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return self.nFx + self.nFy + self.nFz
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@property
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def nEx(self):
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return np.sum((self._edges[:,ACTIVE] == 1) & (self._edges[:,EDIR] == 0))
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@property
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def nEy(self):
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return np.sum((self._edges[:,ACTIVE] == 1) & (self._edges[:,EDIR] == 1))
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@property
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def nEz(self):
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if self.dim == 2:
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return None
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return np.sum((self._edges[:,ACTIVE] == 1) & (self._edges[:,EDIR] == 2))
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@property
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def nFx(self):
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if self.dim == 2:
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return self.nEy
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return np.sum((self._faces[:,ACTIVE] == 1) & (self._faces[:,FDIR] == 0))
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@property
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def nFy(self):
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if self.dim == 2:
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return self.nEx
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return np.sum((self._faces[:,ACTIVE] == 1) & (self._faces[:,FDIR] == 1))
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@property
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def nFz(self):
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if self.dim == 2:
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return None
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return np.sum((self._faces[:,ACTIVE] == 1) & (self._faces[:,FDIR] == 2))
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@property
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def edge(self):
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if getattr(self, '_edge', None) is None:
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self.number()
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N = self._nodes
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E = self._edges
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activeEdges = E[:,ACTIVE] == 1
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e0xy = N[E[activeEdges,ENODE0],:][:,[NX,NY]]
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e1xy = N[E[activeEdges,ENODE1],:][:,[NX,NY]]
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A = np.sum((e1xy - e0xy)**2,axis=1)**0.5
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P = np.argsort(E[activeEdges,NUM])
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self._edge = A[P]
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return self._edge
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@property
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def area(self):
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if getattr(self, '_area', None) is None:
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self.number()
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if self.dim == 2:
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self._area = np.r_[self.edge[self.nEx:], self.edge[:self.nEx]]
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return self._area
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@property
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def vol(self):
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if getattr(self, '_vol', None) is None:
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self.number()
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N = self._nodes
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E = self._edges
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C = self._faces
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activeCells = C[:,ACTIVE] == 1
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nInds1 = E[C[activeCells,FEDGE0],:][:,[ENODE0,ENODE1]]
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nInds2 = E[C[activeCells,FEDGE1],:][:,[ENODE0,ENODE1]]
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n0 = N[nInds1[:,0],:][:,[NX,NY]] # 2------3 3------2
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n1 = N[nInds1[:,1],:][:,[NX,NY]] # | | --> | |
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n3 = N[nInds2[:,0],:][:,[NX,NY]] # | | | |
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n2 = N[nInds2[:,1],:][:,[NX,NY]] # 0------1 0------1
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a = np.sum((n1 - n0)**2,axis=1)**0.5
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b = np.sum((n2 - n1)**2,axis=1)**0.5
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c = np.sum((n3 - n2)**2,axis=1)**0.5
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d = np.sum((n0 - n3)**2,axis=1)**0.5
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p = np.sum((n2 - n0)**2,axis=1)**0.5
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q = np.sum((n3 - n1)**2,axis=1)**0.5
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# Area of an arbitrary quadrilateral (in a plane)
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V = 0.25 * (4.0*(p**2)*(q**2) - (a**2 + c**2 - b**2 - d**2)**2)**0.5
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P = np.argsort(C[activeCells,NUM])
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self._vol = V[P]
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return self._vol
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@property
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def gridN(self):
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N = self._nodes
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activeNodes = N[:,ACTIVE] == 1
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Nx = N[activeNodes,NX]
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Ny = N[activeNodes,NY]
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P = SortByX0(np.c_[Nx, Ny])
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if not self._numberedN:
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cnt = np.zeros(P.size, dtype=int)
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cnt[P] = np.arange(P.size)
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self._nodes[activeNodes, NUM] = cnt
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self._numberedN = True
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return np.c_[Nx, Ny][P, :]
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@property
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def gridCC(self):
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N = self._nodes
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E = self._edges
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C = self._faces
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activeCells = C[:,ACTIVE] == 1
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nInds1 = E[C[activeCells,FEDGE0],:][:,[ENODE0,ENODE1]]
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nInds2 = E[C[activeCells,FEDGE1],:][:,[ENODE0,ENODE1]]
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Cx = (N[nInds1[:,0],NX] + N[nInds1[:,1],NX] + N[nInds2[:,0],NX] + N[nInds2[:,1],NX])/4.0
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Cy = (N[nInds1[:,0],NY] + N[nInds1[:,1],NY] + N[nInds2[:,0],NY] + N[nInds2[:,1],NY])/4.0
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P = SortByX0(np.c_[N[nInds1[:,0],NX], N[nInds1[:,0],NY]])
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if not self._numberedCC:
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cnt = np.zeros(P.size, dtype=int)
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cnt[P] = np.arange(P.size)
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self._faces[activeCells, NUM] = cnt
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self._numberedCC = True
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return np.c_[Cx, Cy][P, :]
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@property
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def gridEx(self):
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N = self._nodes
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E = self._edges
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C = self._faces
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activeEdges = (E[:,ACTIVE] == 1) & (E[:,EDIR] == 0)
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nInds = E[activeEdges,:][:,[ENODE0,ENODE1]]
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Ex = (N[nInds[:,0],NX] + N[nInds[:,1],NX])/2.0
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Ey = (N[nInds[:,0],NY] + N[nInds[:,1],NY])/2.0
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P = SortByX0(np.c_[N[nInds[:,0],NX], N[nInds[:,0],NY]])
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if not self._numberedEx:
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cnt = np.zeros(P.size, dtype=int)
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cnt[P] = np.arange(P.size)
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self._edges[activeEdges, NUM] = cnt
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self._numberedEx = True
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return np.c_[Ex, Ey][P, :]
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@property
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def gridEy(self):
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N = self._nodes
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E = self._edges
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C = self._faces
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activeEdges = (E[:,ACTIVE] == 1) & (E[:,EDIR] == 1)
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nInds = E[activeEdges,:][:,[ENODE0,ENODE1]]
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Ex = (N[nInds[:,0],NX] + N[nInds[:,1],NX])/2.0
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Ey = (N[nInds[:,0],NY] + N[nInds[:,1],NY])/2.0
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P = SortByX0(np.c_[N[nInds[:,0],NX], N[nInds[:,0],NY]])
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if not self._numberedEy:
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cnt = np.zeros(P.size, dtype=int)
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cnt[P] = np.arange(P.size)
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self._edges[activeEdges, NUM] = cnt + self.nEx
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self._numberedEy = True
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return np.c_[Ex, Ey][P, :]
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@property
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def gridEz(self):
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pass
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@property
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def gridFx(self):
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if self.dim == 2:
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return self.gridEy
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@property
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def gridFy(self):
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if self.dim == 2:
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return self.gridEx
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@property
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def gridFz(self):
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pass
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def _push(self, attr, rows):
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self.isNumbered = False
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rows = np.atleast_2d(rows)
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X = getattr(self, attr)
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offset = X.shape[0]
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rowNumer = np.arange(rows.shape[0], dtype=int) + offset
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rows[:,0] = rowNumer*0-1
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setattr(self, attr, np.vstack((X, rows)).astype(X.dtype))
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if rows.shape[0] == 1:
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return offset, rows.flatten()
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return rowNumer, rows
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def addNode(self, between):
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"""Add a node between the node in list between"""
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between = np.array(between).flatten()
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nodes = self._nodes[between.astype(int), :]
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newNode = np.mean(nodes, axis=0)
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newNode[ACTIVE] = 1
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return self._push('_nodes', newNode)
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def refineEdge(self, index):
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e = self._edges[index,:]
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if e[ACTIVE] == 0:
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# search for the children up to one level deep
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subInds = np.argwhere(self._edges[:,PARENT] == index).flatten()
|
|
return subInds, self._edges[subInds,:]
|
|
|
|
self._edges[index, ACTIVE] = 0
|
|
|
|
newNode, node = self.addNode(e[[ENODE0, ENODE1]])
|
|
|
|
Es = np.zeros((2, 6))
|
|
Es[:, ACTIVE] = 1
|
|
Es[:, PARENT] = index
|
|
Es[:, EDIR] = e[EDIR]
|
|
Es[0, ENODE0] = e[ENODE0]
|
|
Es[0, ENODE1] = newNode
|
|
Es[1, ENODE0] = newNode
|
|
Es[1, ENODE1] = e[ENODE1]
|
|
return self._push('_edges', Es)
|
|
|
|
def refineFace(self, index):
|
|
f = self._faces[index,:]
|
|
if f[ACTIVE] == 0:
|
|
# search for the children up to one level deep
|
|
subInds = np.argwhere(self._faces[:,PARENT] == index).flatten()
|
|
return subInds, self._faces[subInds,:]
|
|
|
|
self._faces[index, ACTIVE] = 0
|
|
|
|
# new faces and edges
|
|
# 2_______________3 _______________
|
|
# | e1--> | | | |
|
|
# ^ | | ^ | 2 3 3 | y z z
|
|
# | | | | | | | ^ ^ ^
|
|
# | | x | | ---> |---0---+---1---| | | |
|
|
# e2 | | e3 | | | | | |
|
|
# | | | 0 2 1 | z-----> x y-----> x x-----> y
|
|
# |_______________| |_______|_______|
|
|
# 0 e0--> 1
|
|
|
|
# Refine the outer edges
|
|
E0i, E0 = self.refineEdge(f[FEDGE0])
|
|
E1i, E1 = self.refineEdge(f[FEDGE1])
|
|
E2i, E2 = self.refineEdge(f[FEDGE2])
|
|
E3i, E3 = self.refineEdge(f[FEDGE3])
|
|
|
|
nodeNums = self._edges[f[[FEDGE0, FEDGE1]],:][:,[ENODE0, ENODE1]]
|
|
newNode, node = self.addNode(nodeNums)
|
|
|
|
# Refine the inner edges
|
|
nE = np.zeros((4,6))
|
|
nE[:, ACTIVE] = 1
|
|
nE[:, PARENT] = -1
|
|
nE[:, EDIR] = [0,0,1,1] if f[FDIR] == 2 else [0,0,2,2] if f[FDIR] == 1 else [1,1,2,2]
|
|
nE[0, ENODE0] = E2[0, ENODE1]
|
|
nE[0, ENODE1] = newNode
|
|
nE[1, ENODE0] = newNode
|
|
nE[1, ENODE1] = E3[0, ENODE1]
|
|
nE[2, ENODE0] = E0[0, ENODE1]
|
|
nE[2, ENODE1] = newNode
|
|
nE[3, ENODE0] = newNode
|
|
nE[3, ENODE1] = E1[0, ENODE1]
|
|
nEi, nE = self._push('_edges', nE)
|
|
|
|
# Add four new faces
|
|
Fs = np.zeros((4,8))
|
|
Fs[:, ACTIVE] = 1
|
|
Fs[:, PARENT] = index
|
|
Fs[:, FDIR] = f[FDIR]
|
|
|
|
fInds = [FEDGE0,FEDGE1,FEDGE2,FEDGE3]
|
|
Fs[0, fInds] = [E0i[0], nEi[0], E2i[0], nEi[2]]
|
|
Fs[1, fInds] = [E0i[1], nEi[1], nEi[2], E3i[0]]
|
|
Fs[2, fInds] = [nEi[0], E1i[0], E2i[1], nEi[3]]
|
|
Fs[3, fInds] = [nEi[1], E1i[1], nEi[3], E3i[1]]
|
|
|
|
return self._push('_faces', Fs)
|
|
|
|
def _index(self, attr, index):
|
|
index = [index] if np.isscalar(index) else list(index)
|
|
C = getattr(self, attr)
|
|
cSub = []
|
|
iSub = []
|
|
for I in index:
|
|
if C[I, ACTIVE] == 1:
|
|
iSub += [I]
|
|
cSub += [C[I, :]]
|
|
else:
|
|
subInds = np.argwhere(C[:,PARENT] == I).flatten()
|
|
i, c = self._index(attr, subInds)
|
|
iSub += i
|
|
cSub += [c]
|
|
return iSub, np.vstack(cSub)
|
|
|
|
@property
|
|
def faceDiv(self):
|
|
if getattr(self, '_faceDiv', None) is None:
|
|
self.number()
|
|
# TODO: Preallocate!
|
|
I, J, V = [], [], []
|
|
|
|
offset = np.r_[self.nFx, -self.nEx] # this switches from edge to face numbering
|
|
C = self._faces
|
|
activeCells = C[:,ACTIVE] == 1
|
|
for cell in C[activeCells]:
|
|
for sign, face in zip([-1,1,-1,1],[FEDGE0, FEDGE1, FEDGE2, FEDGE3]):
|
|
ij, jrow = self._index('_edges', cell[face])
|
|
I += [cell[NUM]]*len(ij)
|
|
J += list(jrow[:,0] + offset[jrow[:,EDIR]])
|
|
V += [sign]*len(ij)
|
|
VOL = self.vol
|
|
D = sp.csr_matrix((V,(I,J)), shape=(self.nC, self.nF))
|
|
S = self.area
|
|
self._faceDiv = sdiag(1/VOL)*D*sdiag(S)
|
|
return self._faceDiv
|
|
|
|
def number(self):
|
|
if self.isNumbered:
|
|
return
|
|
self._nodes[:,NUM] = -1
|
|
self._edges[:,NUM] = -1
|
|
self._faces[:,NUM] = -1
|
|
self.gridCC
|
|
self.gridN
|
|
self.gridEx
|
|
self.gridEy
|
|
if self.dim > 2:
|
|
self._cells[:,NUM] = -1
|
|
self.gridEz
|
|
self.gridFx
|
|
self.gridFy
|
|
self.gridFz
|
|
|
|
def plotGrid(self, ax=None, text=True, showIt=False):
|
|
import matplotlib.pyplot as plt
|
|
|
|
|
|
axOpts = {'projection':'3d'} if self.dim == 3 else {}
|
|
if ax is None: ax = plt.subplot(111, **axOpts)
|
|
|
|
N = self._nodes
|
|
E = self._edges
|
|
C = self._faces
|
|
|
|
plt.plot(N[:,1], N[:,2], 'b.')
|
|
activeCells = C[:,ACTIVE] == 1
|
|
for FEDGE in [FEDGE0, FEDGE1, FEDGE2, FEDGE3]:
|
|
nInds = E[C[activeCells,FEDGE],:][:,[ENODE0,ENODE1]]
|
|
eX = np.c_[N[nInds[:,0],NX], N[nInds[:,1],NX], [np.nan]*nInds.shape[0]]
|
|
eY = np.c_[N[nInds[:,0],NY], N[nInds[:,1],NY], [np.nan]*nInds.shape[0]]
|
|
plt.plot(eX.flatten(), eY.flatten(), 'b-')
|
|
|
|
gridCC = self.gridCC
|
|
if text:
|
|
[ax.text(cc[0], cc[1],i) for i, cc in enumerate(gridCC)]
|
|
plt.plot(gridCC[:,0], gridCC[:,1], 'r.')
|
|
gridFx = self.gridFx
|
|
gridFy = self.gridFy
|
|
if text:
|
|
[ax.text(cc[0], cc[1],i) for i, cc in enumerate(np.vstack((gridFx,gridFy)))]
|
|
gridEx = self.gridEx
|
|
gridEy = self.gridEy
|
|
# if text:
|
|
# [ax.text(cc[0], cc[1],i) for i, cc in enumerate(np.vstack((gridEx,gridEy)))]
|
|
|
|
# for E in self._edges:
|
|
# if E[ACTIVE] == 0: continue
|
|
# ex = N[E[[ENODE0,ENODE1]],NX]
|
|
# ey = N[E[[ENODE0,ENODE1]],NY]
|
|
# ax.plot(ex, ey, 'b-')
|
|
# ax.text(ex.mean(), ey.mean(), E[NUM])
|
|
|
|
if showIt:
|
|
plt.show()
|
|
|
|
|
|
def _SortByX0_2D(grid):
|
|
dtype=[('x',float),('y',float)]
|
|
grid2 = np.zeros(grid.shape[0], dtype=dtype)
|
|
grid2['x'][:] = grid[:,0]
|
|
grid2['y'][:] = grid[:,1]
|
|
return np.argsort(grid2, order=['y','x'])
|
|
|
|
def _SortByX0_3D(grid):
|
|
dtype=[('x',float),('y',float),('z',float)]
|
|
grid2 = np.zeros(grid.shape[0], dtype=dtype)
|
|
grid2['x'][:] = grid[:,0]
|
|
grid2['y'][:] = grid[:,1]
|
|
grid2['z'][:] = grid[:,2]
|
|
return np.argsort(grid2, order=['z','y','x'])
|
|
|
|
def SortByX0(grid):
|
|
if grid.shape[1] == 2:
|
|
return _SortByX0_2D(grid)
|
|
elif grid.shape[1] == 3:
|
|
return _SortByX0_3D(grid)
|
|
|
|
|
|
|
|
if __name__ == '__main__':
|
|
from SimPEG import Mesh, Utils
|
|
import matplotlib.pyplot as plt
|
|
|
|
tM = TreeMesh([np.ones(3),np.ones(2)])
|
|
|
|
tM.refineFace(0)
|
|
tM.refineFace(1)
|
|
tM.refineFace(3)
|
|
tM.refineFace(9)
|
|
|
|
# print tM._faces
|
|
# print tM._edges[0,:]
|
|
# print tM.area
|
|
|
|
|
|
# tM.number()
|
|
# print tM._index('_edges',3)[1]
|
|
|
|
|
|
# print tM._edges[:,[0,1,3, 4,5 ]]
|
|
|
|
plt.subplot(211)
|
|
plt.spy(tM.faceDiv)
|
|
tM.plotGrid(ax=plt.subplot(212))
|
|
|
|
# plt.figure(2)
|
|
# plt.plot(SortByX0(tM.gridCC),'b.')
|
|
plt.show()
|
|
|
|
|
|
|