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https://github.com/wassname/simpeg.git
synced 2026-07-06 05:16:51 +08:00
Added AhVec method and test.
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@@ -132,12 +132,15 @@ class ProblemBaseTDEM(MixinTimeStuff, MixinInitialFieldCalc, BaseProblem):
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@property
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def MfMui(self): return self._MfMui
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@property
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def MeSigma(self): return self._MeSigma
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@property
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def MeSigmaI(self): return self._MeSigmaI
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def makeMassMatrices(self, m):
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MeSigma = self.mesh.getMass(m, loc='e')
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self._MeSigmaI = sdiag(1/MeSigma.diagonal())
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self._MeSigma = self.mesh.getMass(m, loc='e')
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self._MeSigmaI = sdiag(1/self.MeSigma.diagonal())
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self._MfMui = self.mesh.getMass(1/mu_0, loc='f')
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@@ -208,6 +211,12 @@ class FieldsTDEM(object):
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self.set_b(newFields['b'], tInd)
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self.set_e(newFields['e'], tInd)
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def fieldVec(self):
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u = np.ndarray((0,self.nTx))
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for i in range(self.nTimes):
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u = np.r_[u, self.get_b(i), self.get_e(i)]
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return u
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####################################################
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# Get Methods
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####################################################
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@@ -64,6 +64,26 @@ class ProblemTDEM_b(ProblemBaseTDEM):
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Y = self.fields(m, useThisRhs=AhRHS, useThisCalcFields=AhCalcFields)
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return Y
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####################################################
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# Functions for tests
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####################################################
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def AhVec(self, m, u):
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self.makeMassMatrices(m)
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dt = self.getDt(0)
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b = 1/dt*u.get_b(0) + self.mesh.edgeCurl*u.get_e(0)
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e = self.mesh.edgeCurl.T*self.MfMui*u.get_b(0) - self.MeSigma*u.get_e(0)
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f = FieldsTDEM(self.mesh, 1, self.times.size, 'b')
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f.set_b(b, 0)
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f.set_e(e, 0)
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for i in range(1,self.times.size):
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dt = self.getDt(i)
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b = 1/dt*u.get_b(i) + self.mesh.edgeCurl*u.get_e(i) - 1/dt*u.get_b(i-1)
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e = self.mesh.edgeCurl.T*self.MfMui*u.get_b(i) - self.MeSigma*u.get_e(i)
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f.set_b(b, i)
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f.set_e(e, i)
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return f
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if __name__ == '__main__':
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from SimPEG import *
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import simpegEM as EM
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@@ -5,7 +5,7 @@ from scipy.constants import mu_0
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from simpegEM.Utils.Ana import hzAnalyticDipoleT
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class EMProblemTests(unittest.TestCase):
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class TDEM_bTests(unittest.TestCase):
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def setUp(self):
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@@ -32,17 +32,27 @@ class EMProblemTests(unittest.TestCase):
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self.sigma[mesh.vectorCCz<0] = 0.1
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self.prb.pair(self.dat)
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def test_analitic_b(self):
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bz_calc = self.dat.dpred(self.sigma)
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bz_ana = mu_0*hzAnalyticDipoleT(self.dat.rxLoc[0], self.prb.times, self.sigma[0])
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diff = np.linalg.norm(bz_calc.flatten() - bz_ana.flatten())/np.linalg.norm(bz_ana.flatten())
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print diff
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self.assertTrue(diff<0.05)
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def test_awesome(self):
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self.assertTrue(True)
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def test_AhVec(self):
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"""
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Test that fields and AhVec produce consistent results
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"""
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sigma = np.ones(self.prb.mesh.nCz)*1e-8
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sigma[self.prb.mesh.vectorCCz<0] = 0.1
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u = self.prb.fields(sigma)
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Ahu = self.prb.AhVec(sigma, u)
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self.assertTrue(np.linalg.norm(Ahu.get_b(0)-1/self.prb.getDt(0)*u.get_b(-1))/np.linalg.norm(u.get_b(0)) < 1.e-2)
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self.assertTrue(np.linalg.norm(Ahu.get_e(0))/np.linalg.norm(u.get_e(0)) < 1.e-2)
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for i in range(1,u.nTimes):
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self.assertTrue(np.linalg.norm(Ahu.get_b(i))/np.linalg.norm(u.get_b(i)) < 1.e-2)
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self.assertTrue(np.linalg.norm(Ahu.get_e(i))/np.linalg.norm(u.get_e(i)) < 1.e-2)
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