Macros
#define	_LEVELRK4_H__

Functions
template<class TSoln , class TFR , class TOp >
void	RK4LevelAdvance (TSoln &a_newSoln, TSoln &a_oldSoln, const TSoln &a_oldCrseSoln, Real a_oldCrseTime, const TSoln &a_newCrseSoln, Real a_newCrseTime, TFR &a_crseFRPtr, TFR &a_fineFRPtr, Real a_time, Real a_dt, TOp &a_op, const bool a_initializeNewSoln=true)
	Basic templated implementation of RK4 advance for a single AMRLevel. More...

template<class TSoln , class TInterp , class TFR , class TOp >
void	RK4LevelAdvance (TSoln &a_newSoln, TSoln &a_oldSoln, TInterp &a_interpPtr, const TSoln &a_oldCrseSoln, Real a_oldCrseTime, const TSoln &a_newCrseSoln, Real a_newCrseTime, TFR &a_crseFRPtr, TFR &a_fineFRPtr, Real a_time, Real a_dt, TOp &a_op, const bool a_initializeNewSoln=true)
	Templated implementation of RK4 advance for a single AMRLevel, allowing interpolation in time. More...

Macro Definition Documentation

◆ _LEVELRK4_H__

#define _LEVELRK4_H__

Function Documentation

◆ RK4LevelAdvance() [1/2]

template<class TSoln , class TFR , class TOp >

void RK4LevelAdvance	(	TSoln &	a_newSoln,
		TSoln &	a_oldSoln,
		const TSoln &	a_oldCrseSoln,
		Real	a_oldCrseTime,
		const TSoln &	a_newCrseSoln,
		Real	a_newCrseTime,
		TFR &	a_crseFRPtr,
		TFR &	a_fineFRPtr,
		Real	a_time,
		Real	a_dt,
		TOp &	a_op,
		const bool	a_initializeNewSoln = `true`
	)

Basic templated implementation of RK4 advance for a single AMRLevel.

This implements fourth-order Runge-Kutta time advance of an ODE. ODE is d(Soln)/dt = RHS

Template types:

TSoln is the datatype for the solution
TFR is a flux-register datatype
TOp is an object encapsulating the actual ODE operations

TOp requirements: TOp must have the following functions:

// evaluate d(soln)/dt at current time based on soln
void evalRHS(TSoln& rhs, // d(soln)/dt based on soln
             TSoln& soln, // soln at current time
             TFR& fineFR,  // flux register w/ finer level
             TFR& crseFR,  // flux register w/ crse level
             const TSoln& oldCrseSoln, // old-time crse solution
             Real oldCrseTime,    // old crse time
             const TSoln& newCrseSoln,  // new-time crse solution
             Real newCrseTime,   // new crse time
             Real time,   // current time centering of soln
             Real fluxWeight // weight to apply to fluxRegister updates
            )
// implements soln += dt*rhs
void updateODE(TSoln& soln,
               const TSoln& rhs,
               Real dt)
// define data holder newSoln based on existingSoln,
// including ghost cell specification
void defineSolnData(TSoln& newSoln,
                    const TSoln& existingSoln)
// define data holder for RHS based on existingSoln
// including ghost cell specification
// (which in most cases is no ghost cells)
void defineRHSData(TSoln& newRHS, const TSoln& existingSoln)
/// copy data in src into dest
void copySolnData(TSoln& dest, const TSoln& src)

Parameters

a_newSoln	the cell-centered solution at the new time (a_time + a_dt)
a_oldSoln	the cell-centered solution at the old time (a_time)
a_oldCrseSoln	old-time coarse-level solution (if it exists)
a_oldCrseTime	time-centering of a_oldCrseSoln
a_newCrseSoln	new-time coarse-level solution (if it exists)
a_newCrseTime	time-centering of a_newCrseSoln
a_crseFRPtr	the pointer to the flux register between this level and the next coarser level
a_fineFRPtr	the pointer to the flux register between this level and the next finer level
a_time	time centering of a_oldSoln
a_dt	time step
a_op	object which encapsulates the ODE functionality (must meet the requirements detailed above)
a_initializeNewSoln	whether a_newSoln is initialized with a_oldSoln (default true)

◆ RK4LevelAdvance() [2/2]

template<class TSoln , class TInterp , class TFR , class TOp >

void RK4LevelAdvance	(	TSoln &	a_newSoln,
		TSoln &	a_oldSoln,
		TInterp &	a_interpPtr,
		const TSoln &	a_oldCrseSoln,
		Real	a_oldCrseTime,
		const TSoln &	a_newCrseSoln,
		Real	a_newCrseTime,
		TFR &	a_crseFRPtr,
		TFR &	a_fineFRPtr,
		Real	a_time,
		Real	a_dt,
		TOp &	a_op,
		const bool	a_initializeNewSoln = `true`
	)

Templated implementation of RK4 advance for a single AMRLevel, allowing interpolation in time.

This implements fourth-order Runge-Kutta time advance of an ODE, and saves intermediate results for use in interpolation in time. ODE is d(Soln)/dt = RHS