TY - JOUR
T1 - Steady states and well-balanced schemes for shallow water moment equations with topography
AU - Koellermeier, Julian
AU - Pimentel-García, Ernesto
PY - 2022/8
Y1 - 2022/8
N2 - 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.
AB - 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.
KW - Shallow water equations
KW - Hyperbolic moment equations
KW - Well-balanced
KW - Steady states
U2 - 10.1016/j.amc.2022.127166
DO - 10.1016/j.amc.2022.127166
M3 - Article
SN - 0096-3003
VL - 427
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
M1 - 127166
ER -