Kratos::ButcherTableauRK3TVD Class Reference

Explicit total variation diminishing 3rd order Runge-Kutta. More...

#include <butcher_tableau.h>

Inheritance diagram for Kratos::ButcherTableauRK3TVD:

Collaboration diagram for Kratos::ButcherTableauRK3TVD:

Public Types
typedef ButcherTableau< ButcherTableauRK3TVD, 3, 3 >	BaseType
Public Types inherited from Kratos::ButcherTableau< ButcherTableauRK3TVD, 3, 3 >
using	VectorType = std::vector< double >
using	RowType = std::vector< double >
using	MatrixType = std::vector< RowType >

Public Member Functions
std::string	Info () const override
Public Member Functions inherited from Kratos::ButcherTableau< ButcherTableauRK3TVD, 3, 3 >
virtual	~ButcherTableau ()=default
	Destructor. More...
std::tuple< RowType::const_iterator, RowType::const_iterator >	GetMatrixRow (const unsigned int SubStepIndex) const
RowType::const_iterator	GetMatrixRowBegin (const unsigned int SubStepIndex) const
RowType::const_iterator	GetMatrixRowEnd (const unsigned int SubStepIndex) const
constexpr const VectorType &	GetWeights () const
constexpr double	GetIntegrationTheta (const unsigned int SubStepIndex) const

Static Public Member Functions
static const BaseType::MatrixType	GenerateRKMatrix ()
static const BaseType::VectorType	GenerateWeights ()
static const BaseType::VectorType	GenerateThetasVector ()
static std::string	Name ()
Static Public Member Functions inherited from Kratos::ButcherTableau< ButcherTableauRK3TVD, 3, 3 >
static constexpr unsigned int	Order ()
static constexpr unsigned int	SubstepCount ()
static std::string	Name ()

Additional Inherited Members
Protected Attributes inherited from Kratos::ButcherTableau< ButcherTableauRK3TVD, 3, 3 >
const MatrixType	mA
const VectorType	mB
const VectorType	mC

Detailed Description

Explicit total variation diminishing 3rd order Runge-Kutta.

Implementation of Proposition 3.2 of: Gottlieb, Sigal, and Chi-Wang Shu. "Total variation diminishing Runge-Kutta schemes." Mathematics of computation 67.221 (1998): 73-85.

Member Typedef Documentation

BaseType

typedef ButcherTableau<ButcherTableauRK3TVD, 3, 3> Kratos::ButcherTableauRK3TVD::BaseType

Member Function Documentation

GenerateRKMatrix()

static const BaseType::MatrixType Kratos::ButcherTableauRK3TVD::GenerateRKMatrix ( )

inlinestatic

GenerateThetasVector()

static const BaseType::VectorType Kratos::ButcherTableauRK3TVD::GenerateThetasVector ( )

inlinestatic

GenerateWeights()

static const BaseType::VectorType Kratos::ButcherTableauRK3TVD::GenerateWeights ( )

inlinestatic

Info()

std::string Kratos::ButcherTableauRK3TVD::Info ( ) const

inlineoverridevirtual

Implements Kratos::ButcherTableau< ButcherTableauRK3TVD, 3, 3 >.

Name()

static std::string Kratos::ButcherTableauRK3TVD::Name ( )

inlinestatic

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

• /home/runner/work/Documentation/Documentation/master/kratos/solving_strategies/strategies/butcher_tableau.h