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46 lines
1.1 KiB
Python
46 lines
1.1 KiB
Python
import numpy as np
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import sys
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sys.path.append('../')
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from TensorMesh import TensorMesh
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err=0.
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print '>> Test nodal Gradient operator'
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for i in range(4):
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icount=i+1
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nc = 2**icount
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# Define the mesh
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h1 = np.ones((1,nc))/nc
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h2 = np.ones((1,nc))/nc
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h3 = np.ones((1,nc))/nc
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h = [h1, h2, h3]
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x0 = np.zeros((3, 1))
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M = TensorMesh(h, x0)
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#n = M.plotGrid()
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# Generate DIV matrix
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GRAD = M.nodalGrad
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#Test function
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fun = lambda x, y, z: (np.cos(x)+np.cos(y)+np.cos(z))
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sol = lambda x: -np.sin(x) # i (sin(x)) + j (sin(y)) + k (sin(z))
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phi = fun(M.gridN[:,0], M.gridN[:,1], M.gridN[:,2])
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gradE = GRAD*phi
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Ex = sol(M.gridEx[:,0])
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Ey = sol(M.gridEy[:,1])
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Ez = sol(M.gridEz[:,2])
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gradE_anal = np.concatenate((Ex,Ey,Ez))
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err = np.linalg.norm((gradE-gradE_anal), np.inf)
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if icount == 1:
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print 'h | inf norm | error ratio'
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print '---------------------------------------'
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print '%6.4f | %8.2e |'% (h1[0,0], err)
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else:
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print '%6.4f | %8.2e | %6.4f' % (h1[0,0], err, err_old/err)
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err_old = err
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