Many geophysical flows are merely perturbations of some fundamental equilibrium state. If a numerical scheme shall capture such flows 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.

Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows.

PUPPO, GABRIELLA ANNA;
2006-01-01

Abstract

Many geophysical flows are merely perturbations of some fundamental equilibrium state. If a numerical scheme shall capture such flows 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.
2006
Hyperbolic conservation laws; Source terms; Shallow water equations; Well-balanced schemes; Finite volume schemes; WENO reconstruction
Noelle, S; Pankratz, N; Puppo, GABRIELLA ANNA; Natvig, J.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/1789590
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