[ 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | All | Home ]

Preprint 2007-007

High Order Well-balanced Finite Volume WENO Schemes for Shallow Water Equation with Moving Water

Sebastian Noelle, Yulong Xing, and Chi-Wang Shu

Abstract: A characteristic feature of hyperbolic systems of balance laws is the existence of non-trivial equilibrium solutions, where the effects of convective fluxes and source terms cancel each other. Recently a number of so-called well-balanced schemes were developed which satisfy a discrete analogue of this balance and are therefore able to maintain an equilibrium state. In most cases, applications treated equilibria at rest, where the flow velocity vanishes. Here we present a new very high order accurate, exactly well-balanced finite volume scheme for moving flow equilibria. Numerical experiments show excellent resolution of unperturbed as well as slightly perturbed equilibria.

Available as PDF (4544 Kbytes).
Noelle, Sebastian,
Xing, Yulong
Shu, Chi-Wang
Publishing information:
To appear in Journal of Computational Physics.
The archive maintainers apologize for the delay in making this preprint available.
Submitted by:
; 2007-02-08.