DuneODE Namespace Reference

Classes
class	BasicImplicitRungeKuttaSolver
	Implicit RungeKutta ODE solver. More...
class	BasicROWRungeKuttaSolver
	ROW RungeKutta ODE solver. More...
class	ExplicitMultiStepSolver
	Exlicit multi step ODE solver. More...
class	ExplicitRungeKuttaSolver
	Exlicit RungeKutta ODE solver. More...
class	ExplMultiStepBase
class	ImplicitOdeSolver
class	ImplicitRungeKuttaSolver
	Implicit RungeKutta ODE solver. More...
struct	ImplicitRungeKuttaSolverParameters
class	ImplicitRungeKuttaTimeStepControl
struct	NoImplicitRungeKuttaSourceTerm
struct	NoROWRungeKuttaSourceTerm
class	OdeSolverInterface
	Interface class for ODE Solver. More...
class	PIDTimeStepControl
	PID time step control. More...
class	ROWRungeKuttaSolver
	ROW RungeKutta ODE solver. More...
class	ROWSimpleButcherTable
class	SemiImplicitOdeSolver
class	SemiImplicitRungeKuttaSolver
	Implicit RungeKutta ODE solver. More...
class	SemiImplicitRungeKuttaSourceTerm
class	SimpleButcherTable

Typedefs
using	ODEParameters = ImplicitRungeKuttaSolverParameters
template<class Destination >
using	ExplicitOdeSolver = ExplicitRungeKuttaSolver< Destination >
template<class Destination >
using	ParDGHelmholtz = DGHelmholtzOperator< SpaceOperatorInterface< Destination > >
template<class Destination >
using	ParDGNewtonInverse = NewtonInverseOperator< typename ParDGHelmholtz< Destination > ::JacobianOperatorType, KrylovInverseOperator< Destination > >

Functions
SimpleButcherTable< double >	explicitEulerButcherTable ()
SimpleButcherTable< double >	tvd2ButcherTable ()
SimpleButcherTable< double >	tvd3ButcherTable ()
SimpleButcherTable< double >	rk4ButcherTable ()
SimpleButcherTable< double >	expl6ButcherTable ()
SimpleButcherTable< double >	implicit34ButcherTable ()
SimpleButcherTable< double >	implicit3ButcherTable ()
SimpleButcherTable< double >	implicitEulerButcherTable ()
SimpleButcherTable< double >	gauss2ButcherTable ()
SimpleButcherTable< double >	semiImplicitEulerButcherTable (bool expl)
SimpleButcherTable< double >	semiImplicit23ButcherTable (bool expl)
SimpleButcherTable< double >	semiImplicit33ButcherTable (bool expl)
SimpleButcherTable< double >	semiImplicitSSP222ButcherTable (bool expl)
SimpleButcherTable< double >	semiImplicitIERK45ButcherTable (bool expl)
ROWSimpleButcherTable< double >	row2ButcherTable ()
ROWSimpleButcherTable< double >	row3ButcherTable ()
SimpleButcherTable< double >	semiImplicitARK34ButcherTable (bool expl)
SimpleButcherTable< double >	semiImplicitARK46ButcherTable (bool expl)

Variables
static const double	dirk34_alpha = 2.*std::cos(M_PI/18.)/std::sqrt(3.)
static const double	dirk34_alpha2 = dirk34_alpha * dirk34_alpha
static const double	DIRK34_A []
static const double	DIRK34_b []
static const double	DIRK34_c []
static const double	delta_dirk = 1.0/2.0 + sqrt(3.0)/6.0
static const double	DIRK3_A []
static const double	DIRK3_b []
static const double	DIRK3_c []
static const double	ImplicitEuler_A [] = {1.0}
static const double	ImplicitEuler_b [] = {1.0}
static const double	ImplicitEuler_c [] = {1.0}
static const double	Gauss2_A [] = {0.5}
static const double	Gauss2_b [] = {1.0}
static const double	Gauss2_c [] = {0.5}
static const double	SIEuler_A [] = {1.0}
static const double	SIEuler_c [] = {1.0}
static const double	SIEuler_Aex [] = {0.0}
static const double	SIEuler_cex [] = {0.0}
static const double	SIEuler_b [] = {1.0}
static const double	SIRK23_A []
static const double	SIRK23_c []
static const double	SIRK23_Aex []
static const double	SIRK23_cex []
static const double	SIRK23_b []
static const double	SIRK33_A []
static const double	SIRK33_c []
static const double	SIRK33_Aex []
static const double	SIRK33_cex []
static const double	SIRK33_b []
static const double	delta = 1.0 - 1.0/sqrt(2.0)
static const double	IMEX_SSP222_A []
static const double	IMEX_SSP222_c []
static const double	IMEX_SSP222_Aex []
static const double	IMEX_SSP222_cex []
static const double	IMEX_SSP222_b []
static const double	IERK45_Aex []
static const double	IERK45_cex []
static const double	IERK45_A []
static const double	IERK45_c []
static const double	IERK45_b []
static const double	ROW2_A []
static const double	ROW2_b []
static const double	ROW2_c []
static const double	ROW2_B []
static const double	delta_row = 1.0/2.0 + sqrt(3.0)/6.0
static const double	ROW3_A []
static const double	ROW3_b []
static const double	ROW3_c []
static const double	ROW3_B []

Typedef Documentation

ODEParameters

using DuneODE::ODEParameters = typedef ImplicitRungeKuttaSolverParameters

Function Documentation

expl6ButcherTable()

SimpleButcherTable< double > DuneODE::expl6ButcherTable

(

)

explicitEulerButcherTable()

SimpleButcherTable< double > DuneODE::explicitEulerButcherTable

(

)

gauss2ButcherTable()

SimpleButcherTable< double > DuneODE::gauss2ButcherTable

(

)

implicit34ButcherTable()

SimpleButcherTable< double > DuneODE::implicit34ButcherTable

(

)

implicit3ButcherTable()

SimpleButcherTable< double > DuneODE::implicit3ButcherTable

(

)

implicitEulerButcherTable()

SimpleButcherTable< double > DuneODE::implicitEulerButcherTable

(

)

rk4ButcherTable()

SimpleButcherTable< double > DuneODE::rk4ButcherTable

(

)

row2ButcherTable()

ROWSimpleButcherTable< double > DuneODE::row2ButcherTable

(

)

row3ButcherTable()

ROWSimpleButcherTable< double > DuneODE::row3ButcherTable

(

)

semiImplicit23ButcherTable()

SimpleButcherTable< double > DuneODE::semiImplicit23ButcherTable

(

bool

expl

)

semiImplicit33ButcherTable()

SimpleButcherTable< double > DuneODE::semiImplicit33ButcherTable

(

bool

expl

)

semiImplicitARK34ButcherTable()

SimpleButcherTable< double > DuneODE::semiImplicitARK34ButcherTable

(

bool

expl

)

semiImplicitARK46ButcherTable()

SimpleButcherTable< double > DuneODE::semiImplicitARK46ButcherTable

(

bool

expl

)

semiImplicitEulerButcherTable()

SimpleButcherTable< double > DuneODE::semiImplicitEulerButcherTable

(

bool

expl

)

semiImplicitIERK45ButcherTable()

SimpleButcherTable< double > DuneODE::semiImplicitIERK45ButcherTable

(

bool

expl

)

semiImplicitSSP222ButcherTable()

SimpleButcherTable< double > DuneODE::semiImplicitSSP222ButcherTable

(

bool

expl

)

tvd2ButcherTable()

SimpleButcherTable< double > DuneODE::tvd2ButcherTable

(

)

tvd3ButcherTable()

SimpleButcherTable< double > DuneODE::tvd3ButcherTable

(

)

Variable Documentation

delta

const double DuneODE::delta = 1.0 - 1.0/sqrt(2.0)

static

delta_dirk

const double DuneODE::delta_dirk = 1.0/2.0 + sqrt(3.0)/6.0

static

delta_row

const double DuneODE::delta_row = 1.0/2.0 + sqrt(3.0)/6.0

static

DIRK34_A

const double DuneODE::DIRK34_A[]

static

Initial value:

=
    {(1.+dirk34_alpha)*0.5, 0., 0.,
     -0.5*dirk34_alpha, (1.+dirk34_alpha)*0.5, 0.,
     1+dirk34_alpha, -(1+2*dirk34_alpha), (1.+dirk34_alpha)*0.5}

dirk34_alpha

const double DuneODE::dirk34_alpha = 2.*std::cos(M_PI/18.)/std::sqrt(3.)

static

dirk34_alpha2

const double DuneODE::dirk34_alpha2 = dirk34_alpha * dirk34_alpha

static

DIRK34_b

const double DuneODE::DIRK34_b[]

static

Initial value:

=
    {1./(6.*dirk34_alpha2), 1.-1./(3.*dirk34_alpha2),
    1./(6.*dirk34_alpha2)}

DIRK34_c

const double DuneODE::DIRK34_c[]

static

Initial value:

=
    {(1.+dirk34_alpha)*0.5, 0.5, (1.-dirk34_alpha)*0.5}

DIRK3_A

const double DuneODE::DIRK3_A[]

static

Initial value:

=
    {delta_dirk, 0.0,
     1.0-2.0*delta_dirk, delta_dirk
    }

DIRK3_b

const double DuneODE::DIRK3_b[]

static

Initial value:

=
    {(0.5-delta_dirk)/(1.0-2.0*delta_dirk), (0.5-delta_dirk)/(1.0-2.0*delta_dirk)}

DIRK3_c

const double DuneODE::DIRK3_c[]

static

Initial value:

=
    {delta_dirk, 1.0-delta_dirk}

Gauss2_A

const double DuneODE::Gauss2_A[] = {0.5}

static

Gauss2_b

const double DuneODE::Gauss2_b[] = {1.0}

static

Gauss2_c

const double DuneODE::Gauss2_c[] = {0.5}

static

IERK45_A

const double DuneODE::IERK45_A[]

static

Initial value:

=
    {
      0.25, 0.0,  0.0,  0.0,  0.0,
      0.34114705729739, 0.25, 0.0,  0.0,  0.0,
      0.80458720789763, -0.07095262154540, 0.25,  0.0,  0.0,
      -0.52932607329103, 1.15137638494253, -0.80248263237803, 0.25, 0.0,
      0.11933093090075, 0.55125531344927, -0.1216872844994, 0.20110104014943, 0.25
    }

IERK45_Aex

const double DuneODE::IERK45_Aex[]

static

Initial value:

=
    {
      0.0,  0.0,  0.0,  0.0,  0.0,
      0.39098372452428, 0.0,  0.0,  0.0,  0.0,
      1.09436646160460, 0.33181504274704, 0.0, 0.0, 0.0,
      0.14631668003312, 0.69488738277516, 0.46893381306619, 0.0, 0.0,
      -1.33389883143642, 2.90509214801204, -1.06511748457024, 0.27210900509137, 0.0
    }

IERK45_b

const double DuneODE::IERK45_b[]

static

Initial value:

=
    { IERK45_A[20] , IERK45_A[21], IERK45_A[22], IERK45_A[23] , IERK45_A[24] }

IERK45_c

const double DuneODE::IERK45_c[]

static

Initial value:

=
    {
      0.25, 0.34114705729739 + 0.25, 0.80458720789763  -0.07095262154540 + 0.25,
      -0.52932607329103 + 1.15137638494253 -0.80248263237803+ 0.25,
      0.11933093090075 + 0.55125531344927  -0.1216872844994 + 0.20110104014943 + 0.25
    }

IERK45_cex

const double DuneODE::IERK45_cex[]

static

Initial value:

=
    { 0.0, 0.39098372452428, IERK45_Aex[ 10 ] + IERK45_Aex[ 11 ],
      IERK45_Aex[ 15 ] + IERK45_Aex[ 16 ] + IERK45_Aex[ 17 ],
      IERK45_Aex[ 20 ] + IERK45_Aex[ 21 ] + IERK45_Aex[ 22 ] + IERK45_Aex[ 23 ]
    }

IMEX_SSP222_A

const double DuneODE::IMEX_SSP222_A[]

static

Initial value:

=
    {delta, 0.0,
     1.0-2.0*delta, delta
    }

IMEX_SSP222_Aex

const double DuneODE::IMEX_SSP222_Aex[]

static

Initial value:

=
    {0.0, 0.0,
     1.0, 0.0
    }

IMEX_SSP222_b

const double DuneODE::IMEX_SSP222_b[]

static

Initial value:

=
    {0.5, 0.5}

IMEX_SSP222_c

const double DuneODE::IMEX_SSP222_c[]

static

Initial value:

=
    {delta, 1.0-delta}

IMEX_SSP222_cex

const double DuneODE::IMEX_SSP222_cex[]

static

Initial value:

=
    {0.0, 1.0}

ImplicitEuler_A

const double DuneODE::ImplicitEuler_A[] = {1.0}

static

ImplicitEuler_b

const double DuneODE::ImplicitEuler_b[] = {1.0}

static

ImplicitEuler_c

const double DuneODE::ImplicitEuler_c[] = {1.0}

static

ROW2_A

const double DuneODE::ROW2_A[]

static

Initial value:

=
    {0.5}

ROW2_b

const double DuneODE::ROW2_b[]

static

Initial value:

=
    {1.}

ROW2_B

const double DuneODE::ROW2_B[]

static

Initial value:

=
    {0.0}

ROW2_c

const double DuneODE::ROW2_c[]

static

Initial value:

=
    {0.}

ROW3_A

const double DuneODE::ROW3_A[]

static

Initial value:

=
    {delta_row, 0.0,
     -4./3.*delta_row, delta_row
    }

ROW3_b

const double DuneODE::ROW3_b[]

static

Initial value:

=
    {1./4.,3./4.}

ROW3_B

const double DuneODE::ROW3_B[]

static

Initial value:

=
    {0.0, 0.0,
     2./3., 0.0
    }

ROW3_c

const double DuneODE::ROW3_c[]

static

Initial value:

=
    {0,2./3.}

SIEuler_A

const double DuneODE::SIEuler_A[] = {1.0}

static

SIEuler_Aex

const double DuneODE::SIEuler_Aex[] = {0.0}

static

SIEuler_b

const double DuneODE::SIEuler_b[] = {1.0}

static

SIEuler_c

const double DuneODE::SIEuler_c[] = {1.0}

static

SIEuler_cex

const double DuneODE::SIEuler_cex[] = {0.0}

static

SIRK23_A

const double DuneODE::SIRK23_A[]

static

Initial value:

=
    {0.5, 0.0, 0.0,
     -1.0, 0.5, 0.0,
     0.25, 0.25, 0.5
    }

SIRK23_Aex

const double DuneODE::SIRK23_Aex[]

static

Initial value:

=
    {0.0, 0.0, 0.0,
     1.0, 0.0, 0.0,
     0.0, 0.5, 0.0
    }

SIRK23_b

const double DuneODE::SIRK23_b[]

static

Initial value:

=
    {0.25, 0.25, 0.5}

SIRK23_c

const double DuneODE::SIRK23_c[]

static

Initial value:

=
    {0.5, -0.5, 1.0}

SIRK23_cex

const double DuneODE::SIRK23_cex[]

static

Initial value:

=
    {0.0, 1.0, 0.5}

SIRK33_A

const double DuneODE::SIRK33_A[]

static

Initial value:

=
    {3.0/4.0, 0.0, 0.0,
     5589.0/6524.0, 75.0/233.0, 0.0,
     7691.0/26096.0, -26335.0/78288.0, 65.0/168.0
    }

SIRK33_Aex

const double DuneODE::SIRK33_Aex[]

static

Initial value:

=
    {0.0, 0.0, 0.0,
     8.0/7.0, 0.0, 0.0,
     71.0/252.0, 7.0/36.0, 0.0
    }

SIRK33_b

const double DuneODE::SIRK33_b[]

static

Initial value:

=
    {1.0/8.0, 1.0/8.0, 3.0/4.0}

SIRK33_c

const double DuneODE::SIRK33_c[]

static

Initial value:

=
    {3.0/4.0,
     5589.0/6524.0 + 75.0/233.0,
     7691.0/26096.0 - 26335.0/78288.0 + 65.0/168.0
    }

SIRK33_cex

const double DuneODE::SIRK33_cex[]

static

Initial value:

=
    {0.0, 8.0/7.0, 71.0/252.0 + 7.0/36.0}