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arXiv · 2011.07667

Steady States and Well-balanced Schemes for Shallow Water Moment Equations with Topography

Julian Koellermeier·Ernesto Pimentel-Garcia
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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.

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Julian Koellermeier, Ernesto Pimentel-Garcia. 2020-11-16. Steady States and Well-balanced Schemes for Shallow Water Moment Equations with Topography. https://arxiv.org/abs/2011.07667

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