2026-06-02T11:02:15Zhttps://riuma.uma.es/rest/oai/requestoai:riuma.uma.es:10630/240352026-02-03T11:04:01Zcom_10630_2254col_10630_37953
RIUMA. Repositorio Institucional de la Universidad de Málaga
author
Guerrero Fernández, Ernesto
author
Castro-Díaz, Manuel Jesús
author
Dumbser, Michael
author
Morales-de-Luna, Tomás
2022-05-04T12:41:02Z
2022-05-04T12:41:02Z
2021-12-17
Fernández, E.G., Díaz, M.J.C., Dumbser, M. et al. An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density. J Sci Comput 90, 52 (2022). https://doi.org/10.1007/s10915-021-01734-2
https://hdl.handle.net/10630/24035
10.1007/s10915-021-01734-2
In this work, we present a novel numerical discretization of a variable pressure multilayer shallow water model. The model can be written as a hyperbolic PDE system and allows the simulation of density driven gravity currents in a shallow water framework. The proposed discretization consists in an unlimited arbitrary high order accurate (ADER) Discontinuous Galerkin (DG) method, which is then limited with the MOOD paradigm using an a posteriori subcell finite volume limiter. The resulting numerical scheme is arbitrary high order accurate in space and time for smooth solutions and does not destroy the natural subcell resolution
inherent in the DG methods in the presence of strong gradients or discontinuities. A numerical strategy to preserve non-trivial stationary solutions is also discussed. The final method is very accurate in smooth regions even using coarse or very coarse meshes, as shown in the numerical simulations presented here. Finally, a comparison with a laboratory test, where empirical data
are available, is also performed.
eng
Atribución 4.0 Internacional
Matemáticas aplicadas
An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density
journal article
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