2026-05-28T14:18:27Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/326642026-02-03T11:07:31Zcom_10630_2254col_10630_37953

Steady states and well-balanced schemes for shallow water moment equations with topography Koellermeier, Julian Pimentel García, Ernesto Matemáticas aplicadas 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. 2024-09-19T10:17:33Z 2024-09-19T10:17:33Z 2022-08-15 journal article Julian Koellermeier, Ernesto Pimentel-García, Steady states and well-balanced schemes for shallow water moment equations with topography, Applied Mathematics and Computation, Volume 427, 2022, 127166, ISSN 0096-3003, https://doi.org/10.1016/j.amc.2022.127166. (https://www.sciencedirect.com/science/article/pii/S0096300322002417) https://hdl.handle.net/10630/32664 10.1016/j.amc.2022.127166 spa http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Elsevier