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Bug Fixes and Adjoint Test.
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+20
-14
@@ -1,6 +1,6 @@
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from SimPEG.forward import Problem
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import numpy as np
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from SimPEG.utils import sdiag, mkvc, setKwargs
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from SimPEG.utils import sdiag, mkvc, setKwargs, Solver
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from SimPEG.inverse import NewtonRoot
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@@ -71,10 +71,10 @@ class RichardsProblem(Problem):
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@property
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def dataType(self):
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"""Choose how your data is collected, must be 'saturation' or 'pressureHead'."""
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assert value in ['saturation','pressureHead'], "dataType must be 'saturation' or 'pressureHead'."
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return self._dataType
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@dataType.setter
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def dataType(self, value):
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assert value in ['saturation','pressureHead'], "dataType must be 'saturation' or 'pressureHead'."
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self._dataType = value
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@@ -83,6 +83,7 @@ class RichardsProblem(Problem):
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Problem.__init__(self, mesh)
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self.empirical = empirical
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self.mesh.setCellGradBC('dirichlet')
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self.dataType = 'pressureHead'
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self.doNewton = False # This also sets the rootFinder algorithm.
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setKwargs(self, **kwargs)
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@@ -142,6 +143,8 @@ class RichardsProblem(Problem):
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B = DdiagGh1*diagAVk2_AVdiagK2*dKa1 + Dz*diagAVk2_AVdiagK2*dKa1
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return Asub, Adiag, B
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def getResidual(self, hn, h):
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"""
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Where h is the proposed value for the next time iterate (h_{n+1})
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@@ -196,10 +199,12 @@ class RichardsProblem(Problem):
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JvC[ii] = Adiaginv.solve(B*v - Asub*JvC[ii-1])
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if self.dataType is 'pressureHead':
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Jv = P.Q*np.concatenate(JvC)
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Jv = self.P*np.concatenate(JvC)
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elif self.dataType is 'saturation':
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dT = self.empirical.moistureContentDeriv(np.concatenate(Hs[1:]))
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Jv = P.Q*dT*np.concatenate(JvC)
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Jv = self.P*dT*np.concatenate(JvC)
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return Jv
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def Jt(self, m, v, u=None):
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if u is None:
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@@ -207,23 +212,24 @@ class RichardsProblem(Problem):
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Hs = u
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if self.dataType is 'pressureHead':
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QTz = P.Q.T*z;
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PTv = self.P.T*v;
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elif self.dataType is 'saturation':
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dT = self.empirical.moistureContentDeriv(np.concatenate(Hs[1:]))
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QTz = dT.T*P.Q.T*z
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PTv = dT.T*self.P.T*v
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# This is done via backward substitution.
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minus = 0
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BJtz = 0
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for ii in range(numel(Hs)-1,-1,-1):
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BJtv = 0
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for ii in range(len(Hs)-1,0,-1):
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Asub, Adiag, B = self.diagsJacobian(Hs[ii-1], Hs[ii])
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#select the correct part of z
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# TODO: This might be easier by reshaping the array
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zpart = range((ii-2)*Adiag.shape[0], (ii-1)*Adiag.shape[0])
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#select the correct part of v
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vpart = range((ii-1)*Adiag.shape[0], (ii)*Adiag.shape[0])
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AdiaginvT = Solver(Adiag.T)
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JTzC = AdiaginvT.solve(QTz[zpart] - minus)
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minus = Asub.T*JTzC # this is now the super diagonal.
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BJtz = BJtz + B.T*JTzC
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JTvC = AdiaginvT.solve(PTv[vpart] - minus)
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minus = Asub.T*JTvC # this is now the super diagonal.
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BJtv = BJtv + B.T*JTvC
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return BJtv
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class Haverkamp(object):
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