A well-balanced gas-kinetic scheme for the shallow-water equations with source terms

Abstract This paper is about the extension of the gas-kinetic BGK scheme to the shallow-water equations with source terms. In the current study, the particle velocity change due to the gravitational force and variable 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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