Mesh Class

simple as:

myMesh = Mesh([5, 4])

myMesh.nfaces

code/Mesh.py

@@ -0,0 +1,130 @@
+import numpy as np
+
+
+class Mesh(object):
+    """docstring for Mesh"""
+    def __init__(self, h):
+
+        if type(h) != list:
+            raise Exception("Type of h must be a list variable. e.g. [5, 4, 2] or [[1,1,1],[0.5,0.5]]")
+
+        if np.sum([np.size(x) for x in h]) == len(h):
+            # We have specified a shorthand for the mesh e.g. [5, 4, 2]
+            # We will recreate the h, such that it lies on the unit cube/square/line
+            domain = 1.  # (must be a float)
+            h = [np.ones(x)*(domain/x) for x in h]
+
+        dim = len(h)
+
+        if dim > 1 and np.all([len(np.shape(x)) > 1 and np.shape(x)[1] > 1 for x in h]):
+            # The h has internal structure, and is not a vector
+            # Thus, we must be describing the verticies of the mesh
+            # Hence, the mesh is a Logically Orthogonal Mesh
+            self.meshType = 'LOM'
+        else:
+            # Could add other checks, but here the default is a rectangular mesh
+            self.meshType = 'RECT'
+
+        if self.meshType != 'LOM':
+            # Ensure that the h is a numpy array, with shape: (n,)
+            h = [np.array(x).ravel() for x in h]
+
+        # Define the number of nodes
+        if self.meshType == 'LOM':
+            self._nnodes = np.array(np.shape(h[0]))
+        else:
+            self._nnodes = np.array([len(x) for x in h]) + 1
+
+        self._nc = self._nnodes - 1
+        self._ncells = np.prod(self._nc)
+        self._h = h
+        self._dim = dim
+
+        m = self._nnodes
+        if dim == 1:
+            self._nfaces = np.prod(m)
+            self._nedges = np.prod(m)
+        elif dim == 2:
+            self._nfx = m - [0, 1]
+            self._nfy = m - [1, 0]
+            self._nex = m - [1, 0]
+            self._ney = m - [0, 1]
+
+            self._nfaces = [np.prod(self.nfx), np.prod(self.nfy)]
+            self._nedges = [np.prod(self.nex), np.prod(self.ney)]
+        elif dim == 3:
+            self._nfx = m - [0, 1, 1]
+            self._nfy = m - [1, 0, 1]
+            self._nfz = m - [1, 1, 0]
+            self._nex = m - [1, 0, 0]
+            self._ney = m - [0, 1, 0]
+            self._nez = m - [0, 0, 1]
+
+            self._nfaces = [np.prod(self.nfx), np.prod(self.nfy), np.prod(self.nfz)]
+            self._nedges = [np.prod(self.nex), np.prod(self.ney), np.prod(self.nez)]
+
+    def dim():
+        doc = "The dimension of the mesh: 1, 2, or 3"
+        fget = lambda self: self._dim
+        return locals()
+    dim = property(**dim())
+
+    def nc():
+        doc = "Number of cells in each direction of the mesh"
+        fget = lambda self: self._nc
+        return locals()
+    nc = property(**nc())
+
+    def ncells():
+        doc = "Number of cells in the mesh"
+        fget = lambda self: self._ncells
+        return locals()
+    ncells = property(**ncells())
+
+    def nfaces():
+        doc = "Number of faces in each direction of the mesh"
+        fget = lambda self: self._nfaces
+        return locals()
+    nfaces = property(**nfaces())
+
+    def nedges():
+        doc = "Number of edges in each direction of the mesh"
+        fget = lambda self: self._nedges
+        return locals()
+    nedges = property(**nedges())
+
+    def nfx():
+        doc = "Number of faces in the x direction of the mesh"
+        fget = lambda self: self._nfx if self.dim > 1 else None
+        return locals()
+    nfx = property(**nfx())
+
+    def nfy():
+        doc = "Number of faces in the y direction of the mesh"
+        fget = lambda self: self._nfy if self.dim > 1 else None
+        return locals()
+    nfy = property(**nfy())
+
+    def nfz():
+        doc = "Number of faces in the z direction of the mesh"
+        fget = lambda self: self._nfz if self.dim > 2 else None
+        return locals()
+    nfz = property(**nfz())
+
+    def nex():
+        doc = "Number of edges in the x direction of the mesh"
+        fget = lambda self: self._nex if self.dim > 1 else None
+        return locals()
+    nex = property(**nex())
+
+    def ney():
+        doc = "Number of edges in the y direction of the mesh"
+        fget = lambda self: self._ney if self.dim > 1 else None
+        return locals()
+    ney = property(**ney())
+
+    def nez():
+        doc = "Number of edges in the z direction of the mesh"
+        fget = lambda self: self._nez if self.dim > 2 else None
+        return locals()
+    nez = property(**nez())