270	RWTH Publication No: 47232        2007        IGPM270.pdf
TITLE	High Order Well-Balanced Finite Volume WENO Schemes for Shallow Water Equation with Moving Water
AUTHORS	Sebastian Noelle, Yulong Xing, 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.
KEYWORDS	shallow water equation, moving water equilibria, high order upwind finite volume scheme, well-balanced scheme
DOI	10.1016/j.jcp.2007.03.031
PUBLICATION	Journal of computational physics 226(1), 29-58 (2007)