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SEOGI KANG
18fd590eff
Some funtions for sparse matrix: sputils.py -> Updated we've discussed before Test example for divergence
46 lines
1.2 KiB
Python
46 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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from getDIV import getDivMatrix, getarea, getvol
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# Define the mesh
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err=0.
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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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h1 = np.pi/nc*np.ones((1,nc))
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h2 = np.pi/nc*np.ones((1,nc))
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h3 = np.pi/nc*np.ones((1,nc))
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h = [h1, h2, h3]
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x0 = -np.pi/2*np.ones((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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DIV = getDivMatrix(h)
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#Test function
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fun = lambda x: np.sin(x)
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Fx = fun(M.gridFx[:,0])
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Fy = fun(M.gridFy[:,1])
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Fz = fun(M.gridFz[:,2])
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F = np.concatenate((Fx,Fy,Fz))
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divF = DIV*F
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sol = lambda x, y, z: (np.cos(x)+np.cos(y)+np.cos(z))
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divF_anal = sol(M.gridCC[:,0], M.gridCC[:,1], M.gridCC[:,2])
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area = getarea(h)
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vol = getvol(h)
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err = np.linalg.norm((divF-divF_anal)*np.sqrt(vol), 2)
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if icount == 1:
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err1 = err
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print 'h | 2 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, err1/err)
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