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Moving-Water Equilibria Preserving HLL-Type Schemes for the Shallow Water Equations |
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| Authors: | Christian Klingenberg Alexander Kurganov Yongle Liu & Markus Zenk |
| Abstract: | We construct new HLL-type moving-water equilibria preserving upwind schemes for the one-dimensional Saint-Venant system of shallow water equations with nonflat bottom topography. The designed first-and secondorder schemes are tested on a number of numerical examples, in which we verify the well-balanced property as well as the ability of the proposed schemes to accurately capture small perturbations of moving-water steady states. |
| Keywords: | Shallow water equations Harten-Lax-Van Leer (HLL) scheme well-balancedmethod steady-state solutions (equilibria) moving-water and still-water equilibria. |
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