Working on implementing mixed BC to DC problem

This commit is contained in:
seogi_macbook
2016-04-24 13:56:37 -07:00
parent fcc2b8b22a
commit 1936a04683
+74 -65
View File
@@ -5,6 +5,7 @@ from FieldsDC import Fields, Fields_CC, Fields_N
from SimPEG.Utils import sdiag
import numpy as np
from SimPEG.Utils import Zero
from BoundaryUtils import getxBCyBC_CC
class BaseDCProblem(BaseEMProblem):
@@ -106,71 +107,6 @@ class BaseDCProblem(BaseEMProblem):
q[:,i] = src.eval(self)
return q
class Problem3D_N(BaseDCProblem):
_solutionType = 'phiSolution'
_formulation = 'EB' # N potentials means B is on faces
fieldsPair = Fields_N
def __init__(self, mesh, **kwargs):
BaseDCProblem.__init__(self, mesh, **kwargs)
def getA(self):
"""
Make the A matrix for the cell centered DC resistivity problem
A = D MfRhoI D^\\top V
"""
# TODO: this won't work for full anisotropy
MeSigma = self.MeSigma
Grad = self.mesh.nodalGrad
A = Grad.T * MeSigma * Grad
# Handling ... singularity
A[0,0] = A[0,0] + 1.
# if self._makeASymmetric is True:
# return V.T * A
return A
def getADeriv(self, u, v, adjoint=False):
"""
Product of the derivative of our system matrix with respect to the model and a vector
"""
MeSigma = self.MeSigma
Grad = self.mesh.nodalGrad
if not adjoint:
return Grad.T*(self.MeSigmaDeriv(Grad*u)*v)
elif adjoint:
return self.MeSigmaDeriv(Grad*u).T * (Grad*v)
def getRHS(self):
"""
RHS for the DC problem
q
"""
RHS = self.getSourceTerm()
# if self._makeASymmetric is True:
# return self.Vol.T * RHS
return RHS
def getRHSDeriv(self, src, v, adjoint=False):
"""
Derivative of the right hand side with respect to the model
"""
# TODO: add qDeriv for RHS depending on m
# qDeriv = src.evalDeriv(self, adjoint=adjoint)
# return qDeriv
return Zero()
class Problem3D_CC(BaseDCProblem):
_solutionType = 'phiSolution'
@@ -180,6 +116,12 @@ class Problem3D_CC(BaseDCProblem):
def __init__(self, mesh, **kwargs):
BaseDCProblem.__init__(self, mesh, **kwargs)
def setBC(self):
self.Div = V * self.mesh.faceDiv
P_BC, B = self.mesh.getBCProjWF_simple()
M = B*self.mesh.aveCC2F
Grad = Div.T - P_BC*Utils.sdiag(y_BC)*M
def getA(self):
"""
@@ -241,4 +183,71 @@ class Problem3D_CC(BaseDCProblem):
return Zero()
class Problem3D_N(BaseDCProblem):
_solutionType = 'phiSolution'
_formulation = 'EB' # N potentials means B is on faces
fieldsPair = Fields_N
def __init__(self, mesh, **kwargs):
BaseDCProblem.__init__(self, mesh, **kwargs)
def getA(self):
"""
Make the A matrix for the cell centered DC resistivity problem
A = D MfRhoI D^\\top V
"""
# TODO: this won't work for full anisotropy
MeSigma = self.MeSigma
Grad = self.mesh.nodalGrad
A = Grad.T * MeSigma * Grad
# Handling Null space of A
A[0,0] = A[0,0] + 1.
# if self._makeASymmetric is True:
# return V.T * A
return A
def getADeriv(self, u, v, adjoint=False):
"""
Product of the derivative of our system matrix with respect to the model and a vector
"""
MeSigma = self.MeSigma
Grad = self.mesh.nodalGrad
if not adjoint:
return Grad.T*(self.MeSigmaDeriv(Grad*u)*v)
elif adjoint:
return self.MeSigmaDeriv(Grad*u).T * (Grad*v)
def getRHS(self):
"""
RHS for the DC problem
q
"""
RHS = self.getSourceTerm()
# if self._makeASymmetric is True:
# return self.Vol.T * RHS
return RHS
def getRHSDeriv(self, src, v, adjoint=False):
"""
Derivative of the right hand side with respect to the model
"""
# TODO: add qDeriv for RHS depending on m
# qDeriv = src.evalDeriv(self, adjoint=adjoint)
# return qDeriv
return Zero()