ShallowWater1DModifiedSolution.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/shallowwater1d.h>
#include <mpivars.h>
#include <hypar.h>

Go to the source code of this file.

Functions
int	ShallowWater1DModifiedSolution (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 ShallowWater1DModifiedSolution.c.

Function Documentation

int ShallowWater1DModifiedSolution	(	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 shallow water equations.

Refer to:

• Xing, Y., Shu, C.-W., "High order finite difference WENO schemes with the exact conservation property for the shallow water equations", Journal of Computational Physics, 208, 2005, pp. 206-227. http://dx.doi.org/10.1016/j.jcp.2005.02.006

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 21 of file ShallowWater1DModifiedSolution.c.

{
  HyPar           *solver = (HyPar*) s;
  ShallowWater1D  *param  = (ShallowWater1D*) 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);
    double h,v;
    _ShallowWater1DGetFlowVar_((u+_MODEL_NVARS_*p),h,v);
    uC[_MODEL_NVARS_*p+0] = h + param->b[p];
    uC[_MODEL_NVARS_*p+1] = h * v;
    _ArrayIncrementIndex_(ndims,bounds,index,done);
  }
  return(0);
}