Preprint 2001-018

A well-balanced Gas-kinetic Scheme for the Shallow Water Equations with Source Terms

Kun Xu

Abstract: This paper is about the extension of the gas-kinetic BGK scheme to the shallow water equations with source terms. In this approach, the particle velocity change due to the gravitational force and wary river bottom is implemented explicitly in the flux evaluation. The current scheme is a well balanced method, which presents accurate and robust results in both steady and unsteady flow simulations.

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Kun Xu, <>
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<> May 29 2001.

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