#include <ManufacturedSolution.h>

Public Member Functions
std::array< double, 10 >	evaluate (double x, double y, double z) const

const std::string &	get_name () const

const auto &	geta () const

const auto &	getc () const

const auto &	geth () const

const auto &	geths () const

size_t	getNumberOfInputs () const

size_t	getNumberOfParameters () const

	ManufacturedSolution (std::shared_ptr< Database > db)

void	setTricubicParams (const std::valarray< double > &cin, const std::valarray< double > &ain)

Private Types
enum class	BCType { NEUMANN , DIRICHLET1 , DIRICHLET2 , DIRICHLETZ2 , NONE , LASTType }

enum class	FunctionType { POLYNOMIAL , GENERALQUADRATIC }

enum class	Geometry { BRICK , CYLROD , CYLRODRZ , CYLSHELL , QTRCYLSHELL , LASTGeometry }

enum class	Order { QUADRATIC , CUBIC , FOURIER , GAUSSIAN , LASTOrder }

Private Attributes
std::valarray< double >	d_a

BCType	d_bcType

std::valarray< double >	d_c

bool	d_CylindricalCoords

std::function< std::array< double, 10 >(double, double, double, const ManufacturedSolution *)>	d_functionPointer

FunctionType	d_FunctionType

Geometry	d_geom

std::array< std::array< double, 3 >, 3 >	d_h

std::array< std::array< double, 3 >, 3 >	d_hs

double	d_MaximumTheta

double	d_MaxR

double	d_MaxTh

double	d_MaxX

double	d_MaxY

double	d_MaxZ

double	d_MinR

double	d_MinTh

double	d_MinX

double	d_MinY

double	d_MinZ

std::string	d_Name

size_t	d_NumberOfInputs

size_t	d_NumberOfParameters

Order	d_order

double	d_ScaleR

double	d_ScaleTh

double	d_ScaleX

double	d_ScaleY

double	d_ScaleZ

Detailed Description

Manufactured solution functions. These are the most general 3d tri-quadratic and tri-cubic polynomials that satisfy the following general boundary conditions on domains of the unit cube, unit cylindrical shell, unit cylindrical quarter shell, and unit cylindrical rod, denoted by \(V\):

\begin{eqnarray*} u(x,y,z) = c_i, \quad (x,y,z)\in \partial V_i, i \in {0,\dots,N_D} \\ \nabla u \cdot n_i = d_i, \quad (x,y,z) \in \partial V_i, i \in {0,\dots,N_N} \end{eqnarray*}

where \(\bigcup_{i} \partial V_i = V\), \(\mathrm{int} \partial V_i \cap \mathrm{int} \partial V_j = \emptyset\), \(N_D + N_N = N_V\) is the number of surfaces in the boundary of \(V\). The volume \(V\) is defined as follows

\begin{eqnarray*} \mathrm{unit\:cube} \quad 0 \leq x \leq 1 \quad 0 \leq y \leq 1 \quad 0 \leq z \leq 1 \\ \mathrm{unit\:rod} \quad 0 \leq r \leq 1 \quad 0 \leq \theta \leq 2 \pi \quad 0 \leq z \leq 1 \\ \mathrm{unit\:shell} \quad 1/2 \leq r \leq 1 \quad 0 \leq \theta \leq 2 \pi \quad 0 \leq z \leq 1 \\ \mathrm{unit\:quarter\:shell} \quad 1/2 \leq r \leq 1 \quad 0 \leq \theta \leq \pi / 2 \quad 0 \leq z \leq 1 \end{eqnarray*}

These polynomials were derived via symbolic computation, and the code was automatically generated in efficient Horner form.

Not all possibilities are non-trivial. The constructor will tell you which ones are available.

Note: some of these are mislabeled at the moment. The cubes and rods are all good. The quarter-shell are suspect.

Definition at line 47 of file ManufacturedSolution.h.

Member Enumeration Documentation

◆ BCType

enum class AMP::ManufacturedSolution::BCType

strongprivate

Enumerator
NEUMANN
DIRICHLET1
DIRICHLET2
DIRICHLETZ2
NONE
LASTType

Definition at line 82 of file ManufacturedSolution.h.

◆ FunctionType

enum class AMP::ManufacturedSolution::FunctionType

strongprivate

Enumerator
POLYNOMIAL
GENERALQUADRATIC

Definition at line 79 of file ManufacturedSolution.h.

◆ Geometry

enum class AMP::ManufacturedSolution::Geometry

strongprivate

Enumerator
BRICK
CYLROD
CYLRODRZ
CYLSHELL
QTRCYLSHELL
LASTGeometry

Definition at line 80 of file ManufacturedSolution.h.

◆ Order

enum class AMP::ManufacturedSolution::Order

strongprivate

Enumerator
QUADRATIC
CUBIC
FOURIER
GAUSSIAN
LASTOrder

Definition at line 81 of file ManufacturedSolution.h.

Constructor & Destructor Documentation

◆ ManufacturedSolution()

AMP::ManufacturedSolution::ManufacturedSolution ( std::shared_ptr< Database > db )

explicit

Member Function Documentation

◆ evaluate()

std::array< double, 10 > AMP::ManufacturedSolution::evaluate	(	double	x,
		double	y,
		double	z
	)		const

Evaluate the manufactured solution at a point.

Parameters

x	x-coordinate
y	y-coordinate
z	z-coordinate

◆ get_name()

const std::string & AMP::ManufacturedSolution::get_name ( ) const

inline

Definition at line 70 of file ManufacturedSolution.h.

References d_Name.

◆ geta()

const auto & AMP::ManufacturedSolution::geta ( ) const

inline

Definition at line 74 of file ManufacturedSolution.h.

References d_a.

◆ getc()

const auto & AMP::ManufacturedSolution::getc ( ) const

inline

Definition at line 73 of file ManufacturedSolution.h.

References d_c.

◆ geth()

const auto & AMP::ManufacturedSolution::geth ( ) const

inline

Definition at line 75 of file ManufacturedSolution.h.

References d_h.

◆ geths()

const auto & AMP::ManufacturedSolution::geths ( ) const

inline

Definition at line 76 of file ManufacturedSolution.h.

References d_hs.

◆ getNumberOfInputs()

size_t AMP::ManufacturedSolution::getNumberOfInputs ( ) const

inline

Definition at line 62 of file ManufacturedSolution.h.

References d_NumberOfInputs.

◆ getNumberOfParameters()

size_t AMP::ManufacturedSolution::getNumberOfParameters ( ) const

inline

Definition at line 60 of file ManufacturedSolution.h.

References d_NumberOfParameters.

◆ setTricubicParams()

void AMP::ManufacturedSolution::setTricubicParams	(	const std::valarray< double > &	cin,
		const std::valarray< double > &	ain
	)

inline

Definition at line 64 of file ManufacturedSolution.h.

References d_a, and d_c.

Member Data Documentation

◆ d_a

std::valarray<double> AMP::ManufacturedSolution::d_a

private

Definition at line 96 of file ManufacturedSolution.h.

Referenced by geta(), and setTricubicParams().

◆ d_bcType

BCType AMP::ManufacturedSolution::d_bcType

private

Definition at line 88 of file ManufacturedSolution.h.

◆ d_c

std::valarray<double> AMP::ManufacturedSolution::d_c

private

Definition at line 95 of file ManufacturedSolution.h.

Referenced by getc(), and setTricubicParams().

◆ d_CylindricalCoords

bool AMP::ManufacturedSolution::d_CylindricalCoords

private

Definition at line 108 of file ManufacturedSolution.h.

◆ d_functionPointer

std::function<std::array<double, 10>( double, double, double, const ManufacturedSolution * )> AMP::ManufacturedSolution::d_functionPointer

private

Definition at line 93 of file ManufacturedSolution.h.

◆ d_FunctionType

FunctionType AMP::ManufacturedSolution::d_FunctionType

private

Definition at line 84 of file ManufacturedSolution.h.

◆ d_geom

Geometry AMP::ManufacturedSolution::d_geom

private

Definition at line 86 of file ManufacturedSolution.h.

◆ d_h

std::array<std::array<double, 3>, 3> AMP::ManufacturedSolution::d_h

private

Definition at line 104 of file ManufacturedSolution.h.

Referenced by geth().

◆ d_hs

std::array<std::array<double, 3>, 3> AMP::ManufacturedSolution::d_hs

private

Definition at line 105 of file ManufacturedSolution.h.

Referenced by geths().

◆ d_MaximumTheta

double AMP::ManufacturedSolution::d_MaximumTheta

private

Definition at line 107 of file ManufacturedSolution.h.

◆ d_MaxR

double AMP::ManufacturedSolution::d_MaxR

private

Definition at line 101 of file ManufacturedSolution.h.

◆ d_MaxTh

double AMP::ManufacturedSolution::d_MaxTh

private

Definition at line 102 of file ManufacturedSolution.h.

◆ d_MaxX

double AMP::ManufacturedSolution::d_MaxX

private

Definition at line 98 of file ManufacturedSolution.h.

◆ d_MaxY

double AMP::ManufacturedSolution::d_MaxY

private

Definition at line 99 of file ManufacturedSolution.h.

◆ d_MaxZ

double AMP::ManufacturedSolution::d_MaxZ

private

Definition at line 100 of file ManufacturedSolution.h.

◆ d_MinR

double AMP::ManufacturedSolution::d_MinR

private

Definition at line 101 of file ManufacturedSolution.h.

◆ d_MinTh

double AMP::ManufacturedSolution::d_MinTh

private

Definition at line 102 of file ManufacturedSolution.h.

◆ d_MinX

double AMP::ManufacturedSolution::d_MinX

private

Definition at line 98 of file ManufacturedSolution.h.

◆ d_MinY

double AMP::ManufacturedSolution::d_MinY

private

Definition at line 99 of file ManufacturedSolution.h.

◆ d_MinZ

double AMP::ManufacturedSolution::d_MinZ

private

Definition at line 100 of file ManufacturedSolution.h.

◆ d_Name

std::string AMP::ManufacturedSolution::d_Name

private

Definition at line 110 of file ManufacturedSolution.h.

Referenced by get_name().

◆ d_NumberOfInputs

size_t AMP::ManufacturedSolution::d_NumberOfInputs

private

Definition at line 90 of file ManufacturedSolution.h.

Referenced by getNumberOfInputs().

◆ d_NumberOfParameters

size_t AMP::ManufacturedSolution::d_NumberOfParameters

private

Definition at line 89 of file ManufacturedSolution.h.

Referenced by getNumberOfParameters().

◆ d_order

Order AMP::ManufacturedSolution::d_order

private

Definition at line 87 of file ManufacturedSolution.h.

◆ d_ScaleR

double AMP::ManufacturedSolution::d_ScaleR

private

Definition at line 101 of file ManufacturedSolution.h.

◆ d_ScaleTh

double AMP::ManufacturedSolution::d_ScaleTh

private

Definition at line 102 of file ManufacturedSolution.h.

◆ d_ScaleX

double AMP::ManufacturedSolution::d_ScaleX

private

Definition at line 98 of file ManufacturedSolution.h.

◆ d_ScaleY

double AMP::ManufacturedSolution::d_ScaleY

private

Definition at line 99 of file ManufacturedSolution.h.

◆ d_ScaleZ

double AMP::ManufacturedSolution::d_ScaleZ

private

Definition at line 100 of file ManufacturedSolution.h.

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

src/utils/ManufacturedSolution.h

Public Member Functions

Private Types

Private Attributes

Detailed Description

Member Enumeration Documentation

◆ BCType

◆ FunctionType

◆ Geometry

◆ Order

Constructor & Destructor Documentation

◆ ManufacturedSolution()

Member Function Documentation

◆ evaluate()

◆ get_name()

◆ geta()

◆ getc()

◆ geth()

◆ geths()

◆ getNumberOfInputs()

◆ getNumberOfParameters()

◆ setTricubicParams()

Member Data Documentation

◆ d_a

◆ d_bcType

◆ d_c

◆ d_CylindricalCoords

◆ d_functionPointer

◆ d_FunctionType

◆ d_geom

◆ d_h

◆ d_hs

◆ d_MaximumTheta

◆ d_MaxR

◆ d_MaxTh

◆ d_MaxX

◆ d_MaxY

◆ d_MaxZ

◆ d_MinR

◆ d_MinTh

◆ d_MinX

◆ d_MinY

◆ d_MinZ

◆ d_Name

◆ d_NumberOfInputs

◆ d_NumberOfParameters

◆ d_order

◆ d_ScaleR

◆ d_ScaleTh

◆ d_ScaleX

◆ d_ScaleY

◆ d_ScaleZ