Steady states and well-balanced schemes for shallow water moment equations with topography

Julian Koellermeier and Ernesto Pimentel-García

Applied Mathematics and Computation, 2022, vol. 427, issue C

Abstract: In this paper, we investigate steady states of shallow water moment equations including bottom topographies. We derive a new hyperbolic shallow water moment model based on linearized moment equations that allows for a simple assessment of the steady states. After proving hyperbolicity of the new model, the steady states are fully identified. A well-balanced scheme is adopted to the specific structure of the new model and allows to preserve the steady states in numerical simulations.

Keywords: Shallow water equations; Hyperbolic moment equations; Well-balanced; Steady states (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:427:y:2022:i:c:s0096300322002417

DOI: 10.1016/j.amc.2022.127166

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