MFEM  v4.0
Finite element discretization library
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mfem::electromagnetics::MagneticDiffusionEOperator Class Reference

#include <joule_solver.hpp>

Inheritance diagram for mfem::electromagnetics::MagneticDiffusionEOperator:
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Collaboration diagram for mfem::electromagnetics::MagneticDiffusionEOperator:
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Public Member Functions

 MagneticDiffusionEOperator (int len, ParFiniteElementSpace &L2FES, ParFiniteElementSpace &HCurlFES, ParFiniteElementSpace &HDivFES, ParFiniteElementSpace &HGradFES, Array< int > &ess_bdr, Array< int > &thermal_ess_bdr, Array< int > &poisson_ess_bdr, double mu, std::map< int, double > sigmaAttMap, std::map< int, double > TcapacityAttMap, std::map< int, double > InvTcapAttMap, std::map< int, double > InvTcondAttMap)
 
void Init (Vector &vx)
 
virtual void Mult (const Vector &vx, Vector &dvx_dt) const
 Perform the action of the operator: y = k = f(x, t), where k solves the algebraic equation F(x, k, t) = G(x, t) and t is the current time. More...
 
virtual void ImplicitSolve (const double dt, const Vector &x, Vector &k)
 Solve the equation: k = f(x + dt k, t), for the unknown k at the current time t. More...
 
double ElectricLosses (ParGridFunction &E_gf) const
 
void GetJouleHeating (ParGridFunction &E_gf, ParGridFunction &w_gf) const
 
void SetTime (const double _t)
 Set the current time. More...
 
void Debug (const char *basefilename, double time)
 
virtual ~MagneticDiffusionEOperator ()
 
- Public Member Functions inherited from mfem::TimeDependentOperator
 TimeDependentOperator (int n=0, double t_=0.0, Type type_=EXPLICIT)
 Construct a "square" TimeDependentOperator y = f(x,t), where x and y have the same dimension n. More...
 
 TimeDependentOperator (int h, int w, double t_=0.0, Type type_=EXPLICIT)
 Construct a TimeDependentOperator y = f(x,t), where x and y have dimensions w and h, respectively. More...
 
virtual double GetTime () const
 Read the currently set time. More...
 
bool isExplicit () const
 True if type is EXPLICIT. More...
 
bool isImplicit () const
 True if type is IMPLICIT or HOMOGENEOUS. More...
 
bool isHomogeneous () const
 True if type is HOMOGENEOUS. More...
 
virtual void ExplicitMult (const Vector &x, Vector &y) const
 Perform the action of the explicit part of the operator, G: y = G(x, t) where t is the current time. More...
 
virtual void ImplicitMult (const Vector &x, const Vector &k, Vector &y) const
 Perform the action of the implicit part of the operator, F: y = F(x, k, t) where t is the current time. More...
 
virtual OperatorGetImplicitGradient (const Vector &x, const Vector &k, double shift) const
 Return an Operator representing (dF/dk shift + dF/dx) at the given x, k, and the currently set time. More...
 
virtual OperatorGetExplicitGradient (const Vector &x) const
 Return an Operator representing dG/dx at the given point x and the currently set time. More...
 
virtual ~TimeDependentOperator ()
 
- Public Member Functions inherited from mfem::Operator
 Operator (int s=0)
 Construct a square Operator with given size s (default 0). More...
 
 Operator (int h, int w)
 Construct an Operator with the given height (output size) and width (input size). More...
 
int Height () const
 Get the height (size of output) of the Operator. Synonym with NumRows(). More...
 
int NumRows () const
 Get the number of rows (size of output) of the Operator. Synonym with Height(). More...
 
int Width () const
 Get the width (size of input) of the Operator. Synonym with NumCols(). More...
 
int NumCols () const
 Get the number of columns (size of input) of the Operator. Synonym with Width(). More...
 
virtual MemoryClass GetMemoryClass () const
 Return the MemoryClass preferred by the Operator. More...
 
virtual void MultTranspose (const Vector &x, Vector &y) const
 Action of the transpose operator: y=A^t(x). The default behavior in class Operator is to generate an error. More...
 
virtual OperatorGetGradient (const Vector &x) const
 Evaluate the gradient operator at the point x. The default behavior in class Operator is to generate an error. More...
 
virtual const OperatorGetProlongation () const
 Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. NULL means identity. More...
 
virtual const OperatorGetRestriction () const
 Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. NULL means identity. More...
 
void FormLinearSystem (const Array< int > &ess_tdof_list, Vector &x, Vector &b, Operator *&A, Vector &X, Vector &B, int copy_interior=0)
 Form a constrained linear system using a matrix-free approach. More...
 
virtual void RecoverFEMSolution (const Vector &X, const Vector &b, Vector &x)
 Reconstruct a solution vector x (e.g. a GridFunction) from the solution X of a constrained linear system obtained from Operator::FormLinearSystem(). More...
 
void PrintMatlab (std::ostream &out, int n=0, int m=0) const
 Prints operator with input size n and output size m in Matlab format. More...
 
virtual ~Operator ()
 Virtual destructor. More...
 
Type GetType () const
 Return the type ID of the Operator class. More...
 

Protected Member Functions

void buildA0 (MeshDependentCoefficient &sigma)
 
void buildA1 (double muInv, MeshDependentCoefficient &sigma, double dt)
 
void buildA2 (MeshDependentCoefficient &InvTcond, MeshDependentCoefficient &InvTcap, double dt)
 
void buildM1 (MeshDependentCoefficient &sigma)
 
void buildM2 (MeshDependentCoefficient &alpha)
 
void buildM3 (MeshDependentCoefficient &Tcap)
 
void buildS1 (double muInv)
 
void buildS2 (MeshDependentCoefficient &alpha)
 
void buildGrad ()
 
void buildCurl (double muInv)
 
void buildDiv (MeshDependentCoefficient &InvTcap)
 

Protected Attributes

ParFiniteElementSpaceL2FESpace
 
ParFiniteElementSpaceHCurlFESpace
 
ParFiniteElementSpaceHDivFESpace
 
ParFiniteElementSpaceHGradFESpace
 
ParBilinearForma0
 
ParBilinearForma1
 
ParBilinearForma2
 
ParBilinearFormm1
 
ParBilinearFormm2
 
ParBilinearFormm3
 
ParBilinearForms1
 
ParBilinearForms2
 
ParDiscreteLinearOperatorgrad
 
ParDiscreteLinearOperatorcurl
 
ParMixedBilinearFormweakDiv
 
ParMixedBilinearFormweakDivC
 
ParMixedBilinearFormweakCurl
 
HypreParMatrixA0
 
HypreParMatrixA1
 
HypreParMatrixA2
 
HypreParMatrixM1
 
HypreParMatrixM2
 
HypreParMatrixM3
 
VectorX0
 
VectorX1
 
VectorX2
 
VectorB0
 
VectorB1
 
VectorB2
 
VectorB3
 
ParGridFunctionv0
 
ParGridFunctionv1
 
ParGridFunctionv2
 
HypreSolveramg_a0
 
HyprePCGpcg_a0
 
HypreSolverads_a2
 
HyprePCGpcg_a2
 
HypreSolverams_a1
 
HyprePCGpcg_a1
 
HypreSolverdsp_m3
 
HyprePCGpcg_m3
 
HypreSolverdsp_m1
 
HyprePCGpcg_m1
 
HypreSolverdsp_m2
 
HyprePCGpcg_m2
 
Array< int > ess_bdr
 
Array< int > ess_bdr_vdofs
 
Array< int > thermal_ess_bdr
 
Array< int > thermal_ess_bdr_vdofs
 
Array< int > poisson_ess_bdr
 
Array< int > poisson_ess_bdr_vdofs
 
MeshDependentCoefficientsigma
 
MeshDependentCoefficientTcapacity
 
MeshDependentCoefficientInvTcap
 
MeshDependentCoefficientInvTcond
 
double mu
 
double dt_A1
 
double dt_A2
 
- Protected Attributes inherited from mfem::TimeDependentOperator
double t
 Current time. More...
 
Type type
 Describes the form of the TimeDependentOperator. More...
 
- Protected Attributes inherited from mfem::Operator
int height
 Dimension of the output / number of rows in the matrix. More...
 
int width
 Dimension of the input / number of columns in the matrix. More...
 

Additional Inherited Members

- Public Types inherited from mfem::TimeDependentOperator
enum  Type { EXPLICIT, IMPLICIT, HOMOGENEOUS }
 
- Public Types inherited from mfem::Operator
enum  Type {
  ANY_TYPE, MFEM_SPARSEMAT, Hypre_ParCSR, PETSC_MATAIJ,
  PETSC_MATIS, PETSC_MATSHELL, PETSC_MATNEST, PETSC_MATHYPRE,
  PETSC_MATGENERIC
}
 Enumeration defining IDs for some classes derived from Operator. More...
 

Detailed Description

After spatial discretization, the magnetic diffusion equation can be written as a system of ODEs:

S0(sigma) P = 0 dE/dt = - (M1(sigma) + dt S1(1/mu))^{-1}*(S1(1/mu)*E + sigma Grad P) dB/dt = - Curl(E) dF/dt = (M2(c/k) + dt S2(1))^{-1} (-S2(1) F + Div J) dcT/dt = -Div F + J

where

P is the 0-form electrostatic potential, E is the 1-form electric field, B is the 2-form magnetic flux, F is the 2-form thermal flux, T is the 3-form temperature. M is the mass matrix, S is the stiffness matrix, Curl is the curl matrix, Div is the divergence matrix, sigma is the electrical conductivity, k is the thermal conductivity, c is the heat capacity, J is a function of the Joule heating sigma (E dot E).

Class MagneticDiffusionEOperator represents the right-hand side of the above system of ODEs.

Definition at line 106 of file joule_solver.hpp.

Constructor & Destructor Documentation

mfem::electromagnetics::MagneticDiffusionEOperator::MagneticDiffusionEOperator ( int  len,
ParFiniteElementSpace L2FES,
ParFiniteElementSpace HCurlFES,
ParFiniteElementSpace HDivFES,
ParFiniteElementSpace HGradFES,
Array< int > &  ess_bdr,
Array< int > &  thermal_ess_bdr,
Array< int > &  poisson_ess_bdr,
double  mu,
std::map< int, double >  sigmaAttMap,
std::map< int, double >  TcapacityAttMap,
std::map< int, double >  InvTcapAttMap,
std::map< int, double >  InvTcondAttMap 
)

Definition at line 26 of file joule_solver.cpp.

mfem::electromagnetics::MagneticDiffusionEOperator::~MagneticDiffusionEOperator ( )
virtual

Definition at line 826 of file joule_solver.cpp.

Member Function Documentation

void mfem::electromagnetics::MagneticDiffusionEOperator::buildA0 ( MeshDependentCoefficient sigma)
protected

Definition at line 642 of file joule_solver.cpp.

void mfem::electromagnetics::MagneticDiffusionEOperator::buildA1 ( double  muInv,
MeshDependentCoefficient sigma,
double  dt 
)
protected

Definition at line 659 of file joule_solver.cpp.

void mfem::electromagnetics::MagneticDiffusionEOperator::buildA2 ( MeshDependentCoefficient InvTcond,
MeshDependentCoefficient InvTcap,
double  dt 
)
protected

Definition at line 681 of file joule_solver.cpp.

void mfem::electromagnetics::MagneticDiffusionEOperator::buildCurl ( double  muInv)
protected

Definition at line 754 of file joule_solver.cpp.

void mfem::electromagnetics::MagneticDiffusionEOperator::buildDiv ( MeshDependentCoefficient InvTcap)
protected

Definition at line 771 of file joule_solver.cpp.

void mfem::electromagnetics::MagneticDiffusionEOperator::buildGrad ( )
protected

Definition at line 787 of file joule_solver.cpp.

void mfem::electromagnetics::MagneticDiffusionEOperator::buildM1 ( MeshDependentCoefficient sigma)
protected

Definition at line 699 of file joule_solver.cpp.

void mfem::electromagnetics::MagneticDiffusionEOperator::buildM2 ( MeshDependentCoefficient alpha)
protected

Definition at line 710 of file joule_solver.cpp.

void mfem::electromagnetics::MagneticDiffusionEOperator::buildM3 ( MeshDependentCoefficient Tcap)
protected

Definition at line 722 of file joule_solver.cpp.

void mfem::electromagnetics::MagneticDiffusionEOperator::buildS1 ( double  muInv)
protected

Definition at line 734 of file joule_solver.cpp.

void mfem::electromagnetics::MagneticDiffusionEOperator::buildS2 ( MeshDependentCoefficient alpha)
protected

Definition at line 744 of file joule_solver.cpp.

void mfem::electromagnetics::MagneticDiffusionEOperator::Debug ( const char *  basefilename,
double  time 
)

Definition at line 885 of file joule_solver.cpp.

double mfem::electromagnetics::MagneticDiffusionEOperator::ElectricLosses ( ParGridFunction E_gf) const

Definition at line 798 of file joule_solver.cpp.

void mfem::electromagnetics::MagneticDiffusionEOperator::GetJouleHeating ( ParGridFunction E_gf,
ParGridFunction w_gf 
) const

Definition at line 811 of file joule_solver.cpp.

void mfem::electromagnetics::MagneticDiffusionEOperator::ImplicitSolve ( const double  dt,
const Vector x,
Vector k 
)
virtual

Solve the equation: k = f(x + dt k, t), for the unknown k at the current time t.

For general F and G, the equation for k becomes: F(x + dt k, k, t) = G(x + dt k, t).

The input vector x corresponds to time index (or cycle) n, while the currently set time, t, and the result vector k correspond to time index n+1. The time step dt corresponds to the time interval between cycles n and n+1.

This method allows for the abstract implementation of some time integration methods, including diagonal implicit Runge-Kutta (DIRK) methods and the backward Euler method in particular.

If not re-implemented, this method simply generates an error.

Reimplemented from mfem::TimeDependentOperator.

Definition at line 401 of file joule_solver.cpp.

void mfem::electromagnetics::MagneticDiffusionEOperator::Init ( Vector vx)

Definition at line 101 of file joule_solver.cpp.

void mfem::electromagnetics::MagneticDiffusionEOperator::Mult ( const Vector x,
Vector y 
) const
virtual

Perform the action of the operator: y = k = f(x, t), where k solves the algebraic equation F(x, k, t) = G(x, t) and t is the current time.

Reimplemented from mfem::TimeDependentOperator.

Definition at line 162 of file joule_solver.cpp.

void mfem::electromagnetics::MagneticDiffusionEOperator::SetTime ( const double  _t)
virtual

Set the current time.

Reimplemented from mfem::TimeDependentOperator.

Definition at line 823 of file joule_solver.cpp.

Member Data Documentation

ParBilinearForm* mfem::electromagnetics::MagneticDiffusionEOperator::a0
protected

Definition at line 121 of file joule_solver.hpp.

HypreParMatrix* mfem::electromagnetics::MagneticDiffusionEOperator::A0
protected

Definition at line 127 of file joule_solver.hpp.

ParBilinearForm * mfem::electromagnetics::MagneticDiffusionEOperator::a1
protected

Definition at line 121 of file joule_solver.hpp.

HypreParMatrix * mfem::electromagnetics::MagneticDiffusionEOperator::A1
protected

Definition at line 127 of file joule_solver.hpp.

ParBilinearForm * mfem::electromagnetics::MagneticDiffusionEOperator::a2
protected

Definition at line 121 of file joule_solver.hpp.

HypreParMatrix * mfem::electromagnetics::MagneticDiffusionEOperator::A2
protected

Definition at line 127 of file joule_solver.hpp.

HypreSolver* mfem::electromagnetics::MagneticDiffusionEOperator::ads_a2
mutableprotected

Definition at line 139 of file joule_solver.hpp.

HypreSolver* mfem::electromagnetics::MagneticDiffusionEOperator::amg_a0
mutableprotected

Definition at line 137 of file joule_solver.hpp.

HypreSolver* mfem::electromagnetics::MagneticDiffusionEOperator::ams_a1
mutableprotected

Definition at line 141 of file joule_solver.hpp.

Vector * mfem::electromagnetics::MagneticDiffusionEOperator::B0
protected

Definition at line 128 of file joule_solver.hpp.

Vector * mfem::electromagnetics::MagneticDiffusionEOperator::B1
protected

Definition at line 128 of file joule_solver.hpp.

Vector * mfem::electromagnetics::MagneticDiffusionEOperator::B2
protected

Definition at line 128 of file joule_solver.hpp.

Vector * mfem::electromagnetics::MagneticDiffusionEOperator::B3
protected

Definition at line 128 of file joule_solver.hpp.

ParDiscreteLinearOperator * mfem::electromagnetics::MagneticDiffusionEOperator::curl
protected

Definition at line 122 of file joule_solver.hpp.

HypreSolver* mfem::electromagnetics::MagneticDiffusionEOperator::dsp_m1
mutableprotected

Definition at line 145 of file joule_solver.hpp.

HypreSolver* mfem::electromagnetics::MagneticDiffusionEOperator::dsp_m2
mutableprotected

Definition at line 147 of file joule_solver.hpp.

HypreSolver* mfem::electromagnetics::MagneticDiffusionEOperator::dsp_m3
mutableprotected

Definition at line 143 of file joule_solver.hpp.

double mfem::electromagnetics::MagneticDiffusionEOperator::dt_A1
protected

Definition at line 158 of file joule_solver.hpp.

double mfem::electromagnetics::MagneticDiffusionEOperator::dt_A2
protected

Definition at line 158 of file joule_solver.hpp.

Array<int> mfem::electromagnetics::MagneticDiffusionEOperator::ess_bdr
mutableprotected

Definition at line 150 of file joule_solver.hpp.

Array<int> mfem::electromagnetics::MagneticDiffusionEOperator::ess_bdr_vdofs
mutableprotected

Definition at line 151 of file joule_solver.hpp.

ParDiscreteLinearOperator* mfem::electromagnetics::MagneticDiffusionEOperator::grad
protected

Definition at line 122 of file joule_solver.hpp.

ParFiniteElementSpace& mfem::electromagnetics::MagneticDiffusionEOperator::HCurlFESpace
protected

Definition at line 115 of file joule_solver.hpp.

ParFiniteElementSpace& mfem::electromagnetics::MagneticDiffusionEOperator::HDivFESpace
protected

Definition at line 116 of file joule_solver.hpp.

ParFiniteElementSpace& mfem::electromagnetics::MagneticDiffusionEOperator::HGradFESpace
protected

Definition at line 117 of file joule_solver.hpp.

MeshDependentCoefficient * mfem::electromagnetics::MagneticDiffusionEOperator::InvTcap
protected

Definition at line 157 of file joule_solver.hpp.

MeshDependentCoefficient * mfem::electromagnetics::MagneticDiffusionEOperator::InvTcond
protected

Definition at line 157 of file joule_solver.hpp.

ParFiniteElementSpace& mfem::electromagnetics::MagneticDiffusionEOperator::L2FESpace
protected

Definition at line 114 of file joule_solver.hpp.

ParBilinearForm * mfem::electromagnetics::MagneticDiffusionEOperator::m1
protected

Definition at line 121 of file joule_solver.hpp.

HypreParMatrix * mfem::electromagnetics::MagneticDiffusionEOperator::M1
protected

Definition at line 127 of file joule_solver.hpp.

ParBilinearForm * mfem::electromagnetics::MagneticDiffusionEOperator::m2
protected

Definition at line 121 of file joule_solver.hpp.

HypreParMatrix * mfem::electromagnetics::MagneticDiffusionEOperator::M2
protected

Definition at line 127 of file joule_solver.hpp.

ParBilinearForm * mfem::electromagnetics::MagneticDiffusionEOperator::m3
protected

Definition at line 121 of file joule_solver.hpp.

HypreParMatrix * mfem::electromagnetics::MagneticDiffusionEOperator::M3
protected

Definition at line 127 of file joule_solver.hpp.

double mfem::electromagnetics::MagneticDiffusionEOperator::mu
protected

Definition at line 158 of file joule_solver.hpp.

HyprePCG* mfem::electromagnetics::MagneticDiffusionEOperator::pcg_a0
mutableprotected

Definition at line 138 of file joule_solver.hpp.

HyprePCG* mfem::electromagnetics::MagneticDiffusionEOperator::pcg_a1
mutableprotected

Definition at line 142 of file joule_solver.hpp.

HyprePCG* mfem::electromagnetics::MagneticDiffusionEOperator::pcg_a2
mutableprotected

Definition at line 140 of file joule_solver.hpp.

HyprePCG* mfem::electromagnetics::MagneticDiffusionEOperator::pcg_m1
mutableprotected

Definition at line 146 of file joule_solver.hpp.

HyprePCG* mfem::electromagnetics::MagneticDiffusionEOperator::pcg_m2
mutableprotected

Definition at line 148 of file joule_solver.hpp.

HyprePCG* mfem::electromagnetics::MagneticDiffusionEOperator::pcg_m3
mutableprotected

Definition at line 144 of file joule_solver.hpp.

Array<int> mfem::electromagnetics::MagneticDiffusionEOperator::poisson_ess_bdr
mutableprotected

Definition at line 154 of file joule_solver.hpp.

Array<int> mfem::electromagnetics::MagneticDiffusionEOperator::poisson_ess_bdr_vdofs
mutableprotected

Definition at line 155 of file joule_solver.hpp.

ParBilinearForm * mfem::electromagnetics::MagneticDiffusionEOperator::s1
protected

Definition at line 121 of file joule_solver.hpp.

ParBilinearForm * mfem::electromagnetics::MagneticDiffusionEOperator::s2
protected

Definition at line 121 of file joule_solver.hpp.

MeshDependentCoefficient* mfem::electromagnetics::MagneticDiffusionEOperator::sigma
protected

Definition at line 157 of file joule_solver.hpp.

MeshDependentCoefficient * mfem::electromagnetics::MagneticDiffusionEOperator::Tcapacity
protected

Definition at line 157 of file joule_solver.hpp.

Array<int> mfem::electromagnetics::MagneticDiffusionEOperator::thermal_ess_bdr
mutableprotected

Definition at line 152 of file joule_solver.hpp.

Array<int> mfem::electromagnetics::MagneticDiffusionEOperator::thermal_ess_bdr_vdofs
mutableprotected

Definition at line 153 of file joule_solver.hpp.

ParGridFunction* mfem::electromagnetics::MagneticDiffusionEOperator::v0
protected

Definition at line 131 of file joule_solver.hpp.

ParGridFunction * mfem::electromagnetics::MagneticDiffusionEOperator::v1
protected

Definition at line 131 of file joule_solver.hpp.

ParGridFunction * mfem::electromagnetics::MagneticDiffusionEOperator::v2
protected

Definition at line 131 of file joule_solver.hpp.

ParMixedBilinearForm * mfem::electromagnetics::MagneticDiffusionEOperator::weakCurl
protected

Definition at line 123 of file joule_solver.hpp.

ParMixedBilinearForm* mfem::electromagnetics::MagneticDiffusionEOperator::weakDiv
protected

Definition at line 123 of file joule_solver.hpp.

ParMixedBilinearForm * mfem::electromagnetics::MagneticDiffusionEOperator::weakDivC
protected

Definition at line 123 of file joule_solver.hpp.

Vector* mfem::electromagnetics::MagneticDiffusionEOperator::X0
protected

Definition at line 128 of file joule_solver.hpp.

Vector * mfem::electromagnetics::MagneticDiffusionEOperator::X1
protected

Definition at line 128 of file joule_solver.hpp.

Vector * mfem::electromagnetics::MagneticDiffusionEOperator::X2
protected

Definition at line 128 of file joule_solver.hpp.


The documentation for this class was generated from the following files: