Abstract
AbstractWe build and analyze a Runge–Kutta discontinuous Galerkin method to approximate the one‐ and two‐dimensional shallow‐water equations. We introduce a flux modification technique to derive a well‐balanced scheme preserving steady states at rest with variable ground elevation and a slope modification technique to deal satisfactorily with flooding and drying. Numerical results illustrating the performance of the proposed scheme are presented. Copyright © 2007 John Wiley & Sons, Ltd.
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Schedule a callMore From: International Journal for Numerical Methods in Fluids
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