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47 lines
1.2 KiB
Python
47 lines
1.2 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 Curl 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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CURL = M.edgeCurl
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#Test function
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fun = lambda x: np.cos(x) # i (cos(y)) + j (cos(z)) + k (cos(x))
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sol = lambda x: np.sin(x) # i (sin(z)) + j (sin(x)) + k (sin(y))
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Ex = fun(M.gridEx[:,1])
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Ey = fun(M.gridEy[:,2])
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Ez = fun(M.gridEz[:,0])
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E = np.concatenate((Ex,Ey,Ez))
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Fx = sol(M.gridFx[:,2])
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Fy = sol(M.gridFy[:,0])
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Fz = sol(M.gridFz[:,1])
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curlE_anal = np.concatenate((Fx,Fy,Fz))
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curlE = CURL*E
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err = np.linalg.norm((curlE-curlE_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 |