251	RWTH Publication No: 47220        2005        IGPM251.pdf
TITLE	Well-Balanced Finite Volume Schemes of Arbitrary Order of Accuracy for Shallow Water Flows
AUTHORS	Sebastian Noelle, Normann Pankratz, Gabriella Puppo, Jostein R. Natvig
ABSTRACT	Many geophysical are merely perturbations of some fundamental equilibrium state. If a numerical scheme shall capture such efficiently, it should be able to preserve the unperturbed equilibrium state at the discrete level. Here we present a class of schemes of any desired order of accuracy which preserve the lake at rest perfectly. These schemes should have an impact for studying important classes of lake and ocean flows.
KEYWORDS	hyperbolic conservation laws, source terms, shallow water equations, well-balanced schemes, finite volume schemes, WENO reconstruction
DOI	10.1016/j.jcp.2005.08.019
PUBLICATION	Journal of computational physics 213(2), 474-499 (2006)