def setUp(self):
a = np.array([1, 1, 1])
b = np.array([1, 2])
c = np.array([1, 4])
gridIt = lambda h: [np.cumsum(np.r_[0, x]) for x in h]
X, Y = ndgrid(gridIt([a, b]), vector=False)
self.TM2 = TensorMesh([a, b])
self.Curv2 = CurvilinearMesh([X, Y])
X, Y, Z = ndgrid(gridIt([a, b, c]), vector=False)
self.TM3 = TensorMesh([a, b, c])
self.Curv3 = CurvilinearMesh([X, Y, Z])
def setupMesh(self, nc):
"""
For a given number of cells nc, generate a TensorMesh with uniform cells with edge length h=1/nc.
"""
if 'TensorMesh' in self._meshType:
if 'uniform' in self._meshType:
h = [nc, nc, nc]
elif 'random' in self._meshType:
h1 = np.random.rand(nc) * nc * 0.5 + nc * 0.5
h2 = np.random.rand(nc) * nc * 0.5 + nc * 0.5
h3 = np.random.rand(nc) * nc * 0.5 + nc * 0.5
h = [hi / np.sum(hi) for hi in [h1, h2, h3]] # normalize
else:
raise Exception('Unexpected meshType')
self.M = TensorMesh(h[:self.meshDimension])
max_h = max([np.max(hi) for hi in self.M.h])
return max_h
elif 'CylMesh' in self._meshType:
if 'uniform' in self._meshType:
h = [nc, nc, nc]
else:
raise Exception('Unexpected meshType')
if self.meshDimension == 2:
self.M = CylMesh([h[0], 1, h[2]])
max_h = max([np.max(hi) for hi in [self.M.hx, self.M.hz]])
elif self.meshDimension == 3:
self.M = CylMesh(h)
max_h = max([np.max(hi) for hi in self.M.h])
return max_h
elif 'Curv' in self._meshType:
if 'uniform' in self._meshType:
kwrd = 'rect'
elif 'rotate' in self._meshType:
kwrd = 'rotate'
else:
raise Exception('Unexpected meshType')
if self.meshDimension == 1:
raise Exception('Lom not supported for 1D')
elif self.meshDimension == 2:
X, Y = Utils.exampleLrmGrid([nc, nc], kwrd)
self.M = CurvilinearMesh([X, Y])
elif self.meshDimension == 3:
X, Y, Z = Utils.exampleLrmGrid([nc, nc, nc], kwrd)
self.M = CurvilinearMesh([X, Y, Z])
return 1. / nc
elif 'Tree' in self._meshType:
nc *= 2
if 'uniform' in self._meshType or 'notatree' in self._meshType:
h = [nc, nc, nc]
elif 'random' in self._meshType:
h1 = np.random.rand(nc) * nc * 0.5 + nc * 0.5
h2 = np.random.rand(nc) * nc * 0.5 + nc * 0.5
h3 = np.random.rand(nc) * nc * 0.5 + nc * 0.5
h = [hi / np.sum(hi) for hi in [h1, h2, h3]] # normalize
else:
raise Exception('Unexpected meshType')
levels = int(np.log(nc) / np.log(2))
self.M = Tree(h[:self.meshDimension], levels=levels)
def function(cell):
if 'notatree' in self._meshType:
return levels - 1
r = cell.center - np.array([0.5] * len(cell.center))
dist = np.sqrt(r.dot(r))
if dist < 0.2:
return levels
return levels - 1
self.M.refine(function, balance=False)
self.M.number(balance=False)
# self.M.plotGrid(showIt=True)
max_h = max([np.max(hi) for hi in self.M.h])
return max_h
