首页|Steady states and well-balanced schemes for shallow water moment equations with topography
Steady states and well-balanced schemes for shallow water moment equations with topography
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NSTL
Elsevier
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 wellbalanced scheme is adopted to the specific structure of the new model and allows to preserve the steady states in numerical simulations. (C) 2022 Elsevier Inc. All rights reserved.
Shallow water equationsHyperbolic moment equationsWell-balancedSteady statesNONCONSERVATIVE HYPERBOLIC SYSTEMSRIEMANN PROBLEMWET/DRY FRONTSNUMERICAL TREATMENTORDERRECONSTRUCTIONSOLVERSFLOWS
NSTL
Elsevier
