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rowanc1
59 lines
2.2 KiB
Python
59 lines
2.2 KiB
Python
import numpy as np
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from scipy import sparse as sp
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from matutils import mkvc, ndgrid, sub2ind
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from sputils import sdiag
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def exampleLomGird(nC, exType):
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assert type(nC) == list, "nC must be a list containing the number of nodes"
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assert len(nC) == 2 or len(nC) == 3, "nC must either two or three dimensions"
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exType = exType.lower()
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possibleTypes = ['rect', 'rotate']
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assert exType in possibleTypes, "Not a possible example type."
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if exType == 'rect':
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return ndgrid([np.cumsum(np.r_[0, np.ones(nx)/nx]) for nx in nC], vector=False)
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elif exType == 'rotate':
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if len(nC) == 2:
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X, Y = ndgrid([np.cumsum(np.r_[0, np.ones(nx)/nx]) for nx in nC], vector=False)
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amt = 0.5-np.sqrt((X - 0.5)**2 + (Y - 0.5)**2)
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amt[amt < 0] = 0
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return X + (-(Y - 0.5))*amt, Y + (+(X - 0.5))*amt
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elif len(nC) == 3:
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X, Y, Z = ndgrid([np.cumsum(np.r_[0, np.ones(nx)/nx]) for nx in nC], vector=False)
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amt = 0.5-np.sqrt((X - 0.5)**2 + (Y - 0.5)**2 + (Z - 0.5)**2)
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amt[amt < 0] = 0
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return X + (-(Y - 0.5))*amt, Y + (-(Z - 0.5))*amt, Z + (-(X - 0.5))*amt
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def meshTensors(*args):
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"""
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**meshTensors** takes any number of tuples that have the form::
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h1 = ( (numPad, sizeStart [, increaseFactor]), (numCore, sizeCore), (numPad, sizeStart [, increaseFactor]) )
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.. plot::
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from SimPEG import mesh, Utils
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M = mesh.TensorMesh(Utils.meshTensors(((10,10),(40,10),(10,10)), ((10,10),(20,10),(0,0))))
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M.plotGrid()
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"""
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def padding(num, start, factor=1.3, reverse=False):
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pad = ((np.ones(num)*factor)**np.arange(num))*start
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if reverse: pad = pad[::-1]
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return pad
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tensors = tuple()
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for i, arg in enumerate(args):
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tensors += (np.r_[padding(*arg[0],reverse=True),np.ones(arg[1][0])*arg[1][1],padding(*arg[2])],)
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return list(tensors) if len(tensors) > 1 else tensors[0]
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if __name__ == '__main__':
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from SimPEG import mesh
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import matplotlib.pyplot as plt
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M = mesh.TensorMesh(meshTensors(((10,10),(40,10),(10,10)), ((10,10),(20,10),(0,0))))
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M.plotGrid()
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plt.gca().axis('tight')
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plt.show()
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