Euler1DModifiedSolution.c File Reference

Contains the function to compute the modified solution for a balanced discretization scheme. More...

#include <basic.h>
#include <arrayfunctions.h>
#include <physicalmodels/euler1d.h>
#include <mpivars.h>
#include <hypar.h>

Go to the source code of this file.

Functions
int	Euler1DModifiedSolution (double *uC, double *u, int d, void *s, void *m, double waqt)

Detailed Description

Contains the function to compute the modified solution for a balanced discretization scheme.

Author

Debojyoti Ghosh

Definition in file Euler1DModifiedSolution.c.

Function Documentation

Euler1DModifiedSolution()

int Euler1DModifiedSolution	(	double *	uC,
		double *	u,
		int	d,
		void *	s,
		void *	m,
		double	waqt
	)

Compute the modified solution for the upwinding step in a balanced conservative finite-difference algorithm for the 1D Euler equations with gravitational sources. If no gravitational forces exist, the modified solution is identical to the solution.

Refer to

• Xing, Y., Shu, C.-W., "High Order Well-Balanced WENO Scheme for the Gas Dynamics Equations Under Gravitational Fields", Journal of Scientific Computing, 54, 2013, pp. 645-662, http://dx.doi.org/10.1007/s10915-012-9585-8. See Eq. (3.8) on Page 651 on why this modification is needed.

Parameters

uC	The modified solution (same array size and layout as u)
u	The solution (conserved variables)
d	Spatial dimension (unused since this is a 1D system)
s	Solver object of type HyPar
m	MPI object of type MPIVariables
waqt	Current solution time

Definition at line 23 of file Euler1DModifiedSolution.c.

{
  HyPar         *solver = (HyPar*)         s;
  Euler1D       *param  = (Euler1D*)       solver->physics;

  int     ghosts  = solver->ghosts;
  int     *dim    = solver->dim_local;
  int     ndims   = solver->ndims;
  int     index[ndims], bounds[ndims], offset[ndims];

  /* set bounds for array index to include ghost points */
  _ArrayCopy1D_(dim,bounds,ndims);
  int i; for (i=0; i<ndims; i++) bounds[i] += 2*ghosts;

  /* set offset such that index is compatible with ghost point arrangement */
  _ArraySetValue_(offset,ndims,-ghosts);

  int done = 0; _ArraySetValue_(index,ndims,0);
  while (!done) {
    int p; _ArrayIndex1DWO_(ndims,dim,index,offset,ghosts,p); p *= _MODEL_NVARS_;
    _ArrayScaleCopy1D_((u+p),(1.0/param->grav_field[p/_MODEL_NVARS_]),(uC+p),_MODEL_NVARS_);
    _ArrayIncrementIndex_(ndims,bounds,index,done);
  }
  return(0);
}