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

11/16/2020
by   Julian Koellermeier, et al.
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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.

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