mirror of
https://github.com/wassname/simpeg.git
synced 2026-06-27 21:23:31 +08:00
Rowan Cockett
131 lines
4.2 KiB
Python
131 lines
4.2 KiB
Python
import numpy as np
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class Mesh(object):
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"""docstring for Mesh"""
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def __init__(self, h):
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if type(h) != list:
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raise Exception("Type of h must be a list variable. e.g. [5, 4, 2] or [[1,1,1],[0.5,0.5]]")
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if np.sum([np.size(x) for x in h]) == len(h):
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# We have specified a shorthand for the mesh e.g. [5, 4, 2]
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# We will recreate the h, such that it lies on the unit cube/square/line
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domain = 1. # (must be a float)
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h = [np.ones(x)*(domain/x) for x in h]
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dim = len(h)
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if dim > 1 and np.all([len(np.shape(x)) > 1 and np.shape(x)[1] > 1 for x in h]):
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# The h has internal structure, and is not a vector
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# Thus, we must be describing the verticies of the mesh
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# Hence, the mesh is a Logically Orthogonal Mesh
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self.meshType = 'LOM'
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else:
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# Could add other checks, but here the default is a rectangular mesh
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self.meshType = 'RECT'
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if self.meshType != 'LOM':
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# Ensure that the h is a numpy array, with shape: (n,)
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h = [np.array(x).ravel() for x in h]
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# Define the number of nodes
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if self.meshType == 'LOM':
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self._nnodes = np.array(np.shape(h[0]))
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else:
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self._nnodes = np.array([len(x) for x in h]) + 1
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self._nc = self._nnodes - 1
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self._ncells = np.prod(self._nc)
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self._h = h
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self._dim = dim
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m = self._nnodes
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if dim == 1:
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self._nfaces = np.prod(m)
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self._nedges = np.prod(m)
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elif dim == 2:
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self._nfx = m - [0, 1]
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self._nfy = m - [1, 0]
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self._nex = m - [1, 0]
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self._ney = m - [0, 1]
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self._nfaces = [np.prod(self.nfx), np.prod(self.nfy)]
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self._nedges = [np.prod(self.nex), np.prod(self.ney)]
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elif dim == 3:
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self._nfx = m - [0, 1, 1]
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self._nfy = m - [1, 0, 1]
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self._nfz = m - [1, 1, 0]
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self._nex = m - [1, 0, 0]
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self._ney = m - [0, 1, 0]
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self._nez = m - [0, 0, 1]
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self._nfaces = [np.prod(self.nfx), np.prod(self.nfy), np.prod(self.nfz)]
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self._nedges = [np.prod(self.nex), np.prod(self.ney), np.prod(self.nez)]
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def dim():
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doc = "The dimension of the mesh: 1, 2, or 3"
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fget = lambda self: self._dim
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return locals()
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dim = property(**dim())
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def nc():
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doc = "Number of cells in each direction of the mesh"
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fget = lambda self: self._nc
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return locals()
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nc = property(**nc())
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def ncells():
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doc = "Number of cells in the mesh"
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fget = lambda self: self._ncells
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return locals()
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ncells = property(**ncells())
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def nfaces():
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doc = "Number of faces in each direction of the mesh"
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fget = lambda self: self._nfaces
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return locals()
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nfaces = property(**nfaces())
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def nedges():
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doc = "Number of edges in each direction of the mesh"
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fget = lambda self: self._nedges
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return locals()
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nedges = property(**nedges())
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def nfx():
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doc = "Number of faces in the x direction of the mesh"
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fget = lambda self: self._nfx if self.dim > 1 else None
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return locals()
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nfx = property(**nfx())
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def nfy():
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doc = "Number of faces in the y direction of the mesh"
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fget = lambda self: self._nfy if self.dim > 1 else None
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return locals()
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nfy = property(**nfy())
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def nfz():
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doc = "Number of faces in the z direction of the mesh"
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fget = lambda self: self._nfz if self.dim > 2 else None
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return locals()
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nfz = property(**nfz())
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def nex():
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doc = "Number of edges in the x direction of the mesh"
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fget = lambda self: self._nex if self.dim > 1 else None
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return locals()
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nex = property(**nex())
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def ney():
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doc = "Number of edges in the y direction of the mesh"
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fget = lambda self: self._ney if self.dim > 1 else None
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return locals()
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ney = property(**ney())
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def nez():
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doc = "Number of edges in the z direction of the mesh"
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fget = lambda self: self._nez if self.dim > 2 else None
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return locals()
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nez = property(**nez())
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