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

Julian Koellermeier*, Ernesto Pimentel-García

*Bijbehorende auteur voor dit werk

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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.
Originele taal-2English
Aantal pagina's28
TijdschriftApplied Mathematics and Computation
Vroegere onlinedatum18-apr.-2022
StatusPublished - aug.-2022
Extern gepubliceerdJa

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