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

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.