Class for calculating Eddy current problem with Maxwell modell in h formulation. More...

#include <Maxwell2D_H.hh>

Inheritance diagram for hp2D::Maxwell2D_H:

Public Types
enum	boundaryType { PMC = 0, PEC = 1, MAX_TYPE }
	Boundary type. More...

enum	solverType { SUPERLU = 0, SUPERLU2 = 1, BICGSTAB = 2, BICGSTAB2 = 3, BICGSTABSUPERLU = 4 }
	Type of the solver. More...

typedef Cmplx	type

Public Member Functions
boundaryType &	bType ()

const boundaryType	bType () const
	Returns boundary type. More...

const std::string	bTypeStr () const
	Returns name of boundary type as string. More...

virtual Real	dissipation ()
	Return dissipation power loss. More...

concepts::ElementFormula< concepts::Cmplx2d > *	eField ()
	Returns a pointer to the e-Field. More...

concepts::ElementFormula< Cmplx > *	hField ()
	Returns a pointer to the h-Field (solution + h0). More...

virtual Real	magnEnergy ()
	Return magnetic energy. More...

	Maxwell2D_H (concepts::EddyGeometry2D &geom, enum concepts::MaxwellBoundary::boundaryType bType=PMC, enum solverType type=SUPERLU, bool diagPrecond=true, bool afterIter=false, const Real eps=EPS0, const Real omega=OMEGA50, const Real mu=MU0, const uint geomRefAttrib=100)
	Constructor. More...

	Maxwell2D_H (concepts::EddyGeometry2D &geom, InputMaxwell2D_H &input, const uint geomRefAttrib=100)

void	rebuildMesh (concepts::InputAdaptiveModels &input)

void	rebuildMesh (const uint l=0, const uint p=1, const uint g=0, const uint subdiv=X\|Y)
	Rebuilds only the mesh and sets the polynomial degrees. More...

const Vector< Cmplx > *	solution ()
	Returns solution vector. More...

virtual hpAdaptiveSpaceH1 &	space () const
	Returns the space. More...

virtual Space< Real > &	space () const=0
	Returns the space. More...

virtual	~Maxwell2D_H ()

Protected Types
enum	subdivTypes

Protected Member Functions
concepts::SparseMatrix< Real > *	identityMatrix_ (concepts::Space< Real > &spc, concepts::SparseMatrix< Cmplx > *S)
	Calculate identity matrix and add's it to system matrix `S`. More...

virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream. More...

concepts::SparseMatrix< Cmplx > *	laplaceMatrix_ (concepts::Space< Real > &spc, concepts::SparseMatrix< Cmplx > *S)
	Calculate stiffness matrix and add's it to system matrix `S`. More...

void	linearform_ ()
	Calculate the load vector, assumes sigma = 0 inside the coil. More...

virtual concepts::Mesh &	mesh_ ()
	Mesh. More...

virtual const std::string	mshAbbr_ ()
	Mesh abbreviation string. More...

virtual hpFull &	prebuild_ ()
	Space Prebuilder. More...

virtual void	rebuildMesh_ (const uint l=0, const uint p=1, const uint g=0, const uint subdiv=X\|Y)
	Rebuilds only the mesh and sets the polynomial degrees. More...

Protected Attributes
bool	afterIter_
	Nachiteration. More...

std::unique_ptr< concepts::BoundaryConditions >	bc_
	Boundary conditions. More...

bool	diagPrecond_
	Using diagonal preconditioning. More...

std::unique_ptr< Real >	dissipation_
	Dissipation power loss. More...

Real	eps_
	Dielectricity constant. More...

concepts::EddyGeometry2D &	geom_
	Mesh and material constants (sigma, j0) More...

const uint	geomRefAttr_
	Attribute of vertices or edges for geometric refinement. More...

concepts::PiecewiseFormulaFun< Cmplx, Real >	iOmegaEps_plus_Sigma_Inv_
	Piecewise constant formula. More...

uint	iterations_
	Number of iterations for iterative solver. More...

std::unique_ptr< Real >	magnEnergy_
	Magnetic energy. More...

double	matrixtime_

const Real	mu_
	Permeability constant. More...

Real	omega_
	Angular frequency. More...

const std::string	problemName_
	Name of the problem. More...

std::unique_ptr< concepts::Vector< Cmplx > >	residual_

std::unique_ptr< Real >	residualNorm_
	Euclidian norm of the residual of solving the linear system. More...

std::unique_ptr< concepts::Vector< Cmplx > >	rhs_

std::unique_ptr< Vector< Cmplx > >	sol_
	Solution vector. More...

double	solvetime_
	Time to solve the system, to build the matrices, to rebuild the space. More...

double	spacetime_

bool	statusAfterIter_

enum solverType	type_
	Solver type. More...

Private Member Functions
void	constructor_ ()
	Private constructor. More...

void	constructSpace_ ()
	Constructs the space. More...

void	matrices_ ()
	Building the matrices. More...

virtual void	solve_ ()
	Method for solving, throws exception when it wasn't successfull. More...

Private Attributes
std::unique_ptr< concepts::SparseMatrix< Cmplx > >	A_
	Stiffness and System matrix. More...

enum boundaryType	bType_
	Type of boundary condition. More...

std::unique_ptr< concepts::SparseMatrix< Real > >	M_
	Mass matrix. More...

std::unique_ptr< concepts::SparseMatrix< Cmplx > >	S_

std::unique_ptr< hpAdaptiveSpaceH1 >	spc_
	Space. More...

Friends
class	concepts::ModelControl< Maxwell2D_H >

Detailed Description

Class for calculating Eddy current problem with Maxwell modell in h formulation.

Author: Kersten Schmidt, 2005

Definition at line 122 of file Maxwell2D_H.hh.

Member Typedef Documentation

◆ type

typedef Cmplx concepts::Model< Cmplx >::type

inherited

Definition at line 59 of file models.hh.

Member Enumeration Documentation

◆ boundaryType

enum concepts::MaxwellBoundary::boundaryType

inherited

Boundary type.

Either perfect magnetic conductor (PMC) or perfect electric conductor (PEC). Wether it's dirichlet or neumann boundary is dependent from the formulation.

Enumerator
PMC
PEC
MAX_TYPE

Definition at line 27 of file maxwell.hh.

◆ solverType

enum hp2D::Maxwell2D_H_Base::solverType

inherited

Type of the solver.

Enumerator
SUPERLU
SUPERLU2
BICGSTAB
BICGSTAB2
BICGSTABSUPERLU

Definition at line 42 of file Maxwell2D_H.hh.

◆ subdivTypes

enum hp2D::AdaptiveModel::subdivTypes

protectedinherited

Definition at line 83 of file adaptiveModels.hh.

Constructor & Destructor Documentation

◆ Maxwell2D_H() [1/2]

hp2D::Maxwell2D_H::Maxwell2D_H	(	concepts::EddyGeometry2D &	geom,
		enum concepts::MaxwellBoundary::boundaryType	bType = `PMC`,
		enum solverType	type = `SUPERLU`,
		bool	diagPrecond = `true`,
		bool	afterIter = `false`,
		const Real	eps = `EPS0`,
		const Real	omega = `OMEGA50`,
		const Real	mu = `MU0`,
		const uint	geomRefAttrib = `100`
	)

Constructor.

Parameters

geom	geometry, conductivity and source currents
bType	type of boundary condition
type	solver type
diagPrecond	flag for preconditioning with diagonal matrix
aterIter	flag for after iterations
eps	dielectricity constant
omega	angular frequency in 1/s
mu	permeability constant in Ohm*s/m
geomRefAttrib	attrib for geometric refinement

◆ Maxwell2D_H() [2/2]

hp2D::Maxwell2D_H::Maxwell2D_H	(	concepts::EddyGeometry2D &	geom,
		InputMaxwell2D_H &	input,
		const uint	geomRefAttrib = `100`
	)

◆ ~Maxwell2D_H()

virtual hp2D::Maxwell2D_H::~Maxwell2D_H ( )

inlinevirtual

Definition at line 144 of file Maxwell2D_H.hh.

Member Function Documentation

◆ bType() [1/2]

boundaryType& concepts::MaxwellBoundary::bType ( )

inlineinherited

Definition at line 34 of file maxwell.hh.

◆ bType() [2/2]

const boundaryType concepts::MaxwellBoundary::bType ( ) const

inlineinherited

Returns boundary type.

Definition at line 33 of file maxwell.hh.

◆ bTypeStr()

const std::string concepts::MaxwellBoundary::bTypeStr ( ) const

inlineinherited

Returns name of boundary type as string.

Definition at line 36 of file maxwell.hh.

◆ constructor_()

void hp2D::Maxwell2D_H_Base::constructor_ ( )

privateinherited

Private constructor.

◆ constructSpace_()

void hp2D::Maxwell2D_H::constructSpace_ ( )

private

Constructs the space.

◆ dissipation()

virtual Real hp2D::Maxwell2D_H::dissipation ( )

virtual

Return dissipation power loss.

Implements concepts::MaxwellModel.

◆ eField()

concepts::ElementFormula<concepts::Cmplx2d>* hp2D::Maxwell2D_H::eField ( )

Returns a pointer to the e-Field.

Solves the problem, if not yet.

◆ hField()

concepts::ElementFormula<Cmplx>* hp2D::Maxwell2D_H::hField ( )

Returns a pointer to the h-Field (solution + h0).

Solves the problem, if not yet.

◆ identityMatrix_()

concepts::SparseMatrix<Real>* hp2D::Maxwell2D_H_Base::identityMatrix_	(	concepts::Space< Real > &	spc,
		concepts::SparseMatrix< Cmplx > *	S
	)

protectedinherited

Calculate identity matrix and add's it to system matrix S.

◆ info()

virtual std::ostream& hp2D::Maxwell2D_H::info ( std::ostream & os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from hp2D::Maxwell2D_H_Base.

◆ laplaceMatrix_()

concepts::SparseMatrix<Cmplx>* hp2D::Maxwell2D_H_Base::laplaceMatrix_	(	concepts::Space< Real > &	spc,
		concepts::SparseMatrix< Cmplx > *	S
	)

protectedinherited

Calculate stiffness matrix and add's it to system matrix S.

◆ linearform_()

void hp2D::Maxwell2D_H_Base::linearform_ ( )

protectedinherited

Calculate the load vector, assumes sigma = 0 inside the coil.

◆ magnEnergy()

virtual Real hp2D::Maxwell2D_H::magnEnergy ( )

virtual

Return magnetic energy.

Implements concepts::MaxwellModel.

◆ matrices_()

void hp2D::Maxwell2D_H::matrices_ ( )

private

Building the matrices.

◆ mesh_()

virtual concepts::Mesh& hp2D::AdaptiveModel< Cmplx >::mesh_ ( )

inlineprotectedvirtualinherited

Mesh.

Implements concepts::Model< Cmplx >.

Definition at line 87 of file adaptiveModels.hh.

◆ mshAbbr_()

virtual const std::string hp2D::Maxwell2D_H_Base::mshAbbr_ ( )

inlineprotectedvirtualinherited

Mesh abbreviation string.

Implements concepts::Model< Cmplx >.

Definition at line 67 of file Maxwell2D_H.hh.

◆ prebuild_()

virtual hpFull& hp2D::Maxwell2D_H::prebuild_ ( )

inlineprotectedvirtual

Space Prebuilder.

Implements hp2D::AdaptiveModel< Cmplx >.

Definition at line 162 of file Maxwell2D_H.hh.

◆ rebuildMesh() [1/2]

void concepts::AdaptiveModel< Cmplx , dim >::rebuildMesh ( concepts::InputAdaptiveModels & input )

inherited

◆ rebuildMesh() [2/2]

void concepts::AdaptiveModel< Cmplx , dim >::rebuildMesh	(	const uint	l = `0`,
		const uint	p = `1`,
		const uint	g = `0`,
		const uint	subdiv = `X \| Y`
	)

inherited

Rebuilds only the mesh and sets the polynomial degrees.

Parameters

l	number of uniform refinements
p	number of polynomial enlargements
g	number of geometric refinements
subdiv	possibility to restrict subdivision strategy for geometric refinement

◆ rebuildMesh_()

virtual void hp2D::AdaptiveModel< Cmplx >::rebuildMesh_	(	const uint	l = `0`,
		const uint	p = `1`,
		const uint	g = `0`,
		const uint	subdiv = `X \| Y`
	)

protectedvirtualinherited

Rebuilds only the mesh and sets the polynomial degrees.

Implements concepts::AdaptiveModel< Cmplx, 2 >.

◆ solution()

const Vector<Cmplx >* concepts::Model< Cmplx >::solution ( )

inlineinherited

Returns solution vector.

Definition at line 67 of file models.hh.

◆ solve_()

virtual void hp2D::Maxwell2D_H::solve_ ( )

privatevirtual

Method for solving, throws exception when it wasn't successfull.

Implements concepts::Model< Cmplx >.

◆ space() [1/2]

virtual hpAdaptiveSpaceH1& hp2D::Maxwell2D_H::space ( ) const

virtual

Returns the space.

◆ space() [2/2]

virtual Space<Real>& concepts::Model< Cmplx >::space ( ) const

pure virtualinherited

Returns the space.

Friends And Related Function Documentation

◆ concepts::ModelControl< Maxwell2D_H >

friend class concepts::ModelControl< Maxwell2D_H >

friend

Definition at line 112 of file Maxwell2D_H.hh.

Member Data Documentation

◆ A_

std::unique_ptr<concepts::SparseMatrix<Cmplx> > hp2D::Maxwell2D_H::A_

private

Stiffness and System matrix.

Definition at line 167 of file Maxwell2D_H.hh.

◆ afterIter_

bool hp2D::Maxwell2D_H_Base::afterIter_

protectedinherited

Nachiteration.

Definition at line 88 of file Maxwell2D_H.hh.

◆ bc_

std::unique_ptr<concepts::BoundaryConditions> hp2D::Maxwell2D_H_Base::bc_

protectedinherited

Boundary conditions.

Definition at line 82 of file Maxwell2D_H.hh.

◆ bType_

enum boundaryType concepts::MaxwellBoundary::bType_

privateinherited

Type of boundary condition.

Definition at line 36 of file maxwell.hh.

◆ diagPrecond_

bool hp2D::Maxwell2D_H_Base::diagPrecond_

protectedinherited

Using diagonal preconditioning.

Definition at line 86 of file Maxwell2D_H.hh.

◆ dissipation_

std::unique_ptr<Real> hp2D::Maxwell2D_H_Base::dissipation_

protectedinherited

Dissipation power loss.

Definition at line 103 of file Maxwell2D_H.hh.

◆ eps_

Real hp2D::Maxwell2D_H_Base::eps_

protectedinherited

Dielectricity constant.

Definition at line 97 of file Maxwell2D_H.hh.

◆ geom_

concepts::EddyGeometry2D& hp2D::Maxwell2D_H_Base::geom_

protectedinherited

Mesh and material constants (sigma, j0)

Definition at line 80 of file Maxwell2D_H.hh.

◆ geomRefAttr_

const uint hp2D::AdaptiveModel< Cmplx >::geomRefAttr_

protectedinherited

Attribute of vertices or edges for geometric refinement.

Definition at line 91 of file adaptiveModels.hh.

◆ iOmegaEps_plus_Sigma_Inv_

concepts::PiecewiseFormulaFun<Cmplx, Real> hp2D::Maxwell2D_H_Base::iOmegaEps_plus_Sigma_Inv_

protectedinherited

Piecewise constant formula.

$(i \omega \varepsilon_0 + \sigma)^-1$

Definition at line 95 of file Maxwell2D_H.hh.

◆ iterations_

uint hp2D::Maxwell2D_H_Base::iterations_

protectedinherited

Number of iterations for iterative solver.

Definition at line 109 of file Maxwell2D_H.hh.

◆ M_

std::unique_ptr<concepts::SparseMatrix<Real> > hp2D::Maxwell2D_H::M_

private

Mass matrix.

Definition at line 169 of file Maxwell2D_H.hh.

◆ magnEnergy_

std::unique_ptr<Real> hp2D::Maxwell2D_H_Base::magnEnergy_

protectedinherited

Magnetic energy.

Definition at line 105 of file Maxwell2D_H.hh.

◆ matrixtime_

double hp2D::Maxwell2D_H_Base::matrixtime_

protectedinherited

Definition at line 107 of file Maxwell2D_H.hh.

◆ mu_

const Real hp2D::Maxwell2D_H_Base::mu_

protectedinherited

Permeability constant.

Definition at line 101 of file Maxwell2D_H.hh.

◆ omega_

Real hp2D::Maxwell2D_H_Base::omega_

protectedinherited

Angular frequency.

Definition at line 99 of file Maxwell2D_H.hh.

◆ problemName_

const std::string concepts::Model< Cmplx >::problemName_

protectedinherited

Name of the problem.

Definition at line 82 of file models.hh.

◆ residual_

std::unique_ptr<concepts::Vector<Cmplx> > hp2D::Maxwell2D_H_Base::residual_

protectedinherited

Definition at line 89 of file Maxwell2D_H.hh.

◆ residualNorm_

std::unique_ptr<Real> hp2D::Maxwell2D_H_Base::residualNorm_

protectedinherited

Euclidian norm of the residual of solving the linear system.

Definition at line 91 of file Maxwell2D_H.hh.

◆ rhs_

std::unique_ptr<concepts::Vector<Cmplx> > hp2D::Maxwell2D_H_Base::rhs_

protectedinherited

Definition at line 93 of file Maxwell2D_H.hh.

◆ S_

std::unique_ptr<concepts::SparseMatrix<Cmplx> > hp2D::Maxwell2D_H::S_

private

Definition at line 167 of file Maxwell2D_H.hh.

◆ sol_

std::unique_ptr<Vector<Cmplx > > concepts::Model< Cmplx >::sol_

protectedinherited

Solution vector.

Definition at line 78 of file models.hh.

◆ solvetime_

double hp2D::Maxwell2D_H_Base::solvetime_

protectedinherited

Time to solve the system, to build the matrices, to rebuild the space.

Definition at line 107 of file Maxwell2D_H.hh.

◆ spacetime_

double hp2D::Maxwell2D_H_Base::spacetime_

protectedinherited

Definition at line 107 of file Maxwell2D_H.hh.

◆ spc_

std::unique_ptr<hpAdaptiveSpaceH1> hp2D::Maxwell2D_H::spc_

private

Space.

Definition at line 165 of file Maxwell2D_H.hh.

◆ statusAfterIter_

bool hp2D::Maxwell2D_H_Base::statusAfterIter_

protectedinherited

Definition at line 88 of file Maxwell2D_H.hh.

◆ type_

enum solverType hp2D::Maxwell2D_H_Base::type_

protectedinherited

Solver type.

Definition at line 82 of file Maxwell2D_H.hh.

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

models/Maxwell2D_H.hh

hp2D::Maxwell2D_H Class Referenceabstract

Public Types

Public Member Functions

Protected Types

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Friends

Detailed Description

Member Typedef Documentation

◆ type

Member Enumeration Documentation

◆ boundaryType

◆ solverType

◆ subdivTypes

Constructor & Destructor Documentation

◆ Maxwell2D_H() [1/2]

◆ Maxwell2D_H() [2/2]

◆ ~Maxwell2D_H()

Member Function Documentation

◆ bType() [1/2]

◆ bType() [2/2]

◆ bTypeStr()

◆ constructor_()

◆ constructSpace_()

◆ dissipation()

◆ eField()

◆ hField()

◆ identityMatrix_()

◆ info()

◆ laplaceMatrix_()

◆ linearform_()

◆ magnEnergy()

◆ matrices_()

◆ mesh_()

◆ mshAbbr_()

◆ prebuild_()

◆ rebuildMesh() [1/2]

◆ rebuildMesh() [2/2]

◆ rebuildMesh_()

◆ solution()

◆ solve_()

◆ space() [1/2]

◆ space() [2/2]

Friends And Related Function Documentation

◆ concepts::ModelControl< Maxwell2D_H >

Member Data Documentation

◆ A_

◆ afterIter_

◆ bc_

◆ bType_

◆ diagPrecond_

◆ dissipation_

◆ eps_

◆ geom_

◆ geomRefAttr_

◆ iOmegaEps_plus_Sigma_Inv_

◆ iterations_

◆ M_

◆ magnEnergy_

◆ matrixtime_

◆ mu_

◆ omega_

◆ problemName_

◆ residual_

◆ residualNorm_

◆ rhs_

◆ S_

◆ sol_

◆ solvetime_

◆ spacetime_

◆ spc_

◆ statusAfterIter_

◆ type_