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A well-balanced gas-kinetic scheme for the shallow-water equations with source terms. (English) Zbl 1017.76071
Summary: We describe an extension of gas-kinetic BGK scheme to 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.

MSC:
76M28 Particle methods and lattice-gas methods
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
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