RT Journal Article
T1 A semi-implicit fully exactly well-balanced relaxation scheme for the shallow water system.
A1 Caballero Cárdenas, Celia
A1 Castro-Díaz, Manuel Jesús
A1 Chalons, Christophe
A1 Morales-de-Luna, Tomás
A1 Muñoz-Ruiz, María de la Luz
K1 Análisis numérico
K1 Magnetohidrodinámica
AB This article focuses on the design of semi-implicit schemes that are fully well-balancedfor the one-dimensional shallow water equations, that is, schemes that preserve all smooth steadystates of the system and not just water-at-rest equilibria. The proposed methods outperform standardexplicit schemes in the low-Froude regime, where the celerity is much larger than the fluid velocity,eliminating the need for a large number of iterations on large time intervals. In this work, splittingand relaxation techniques are combined in order to obtain fully well-balanced semi-implicit firstand second order schemes. In contrast to recent Lagrangian-based approaches, this one allows thepreservation of all the steady states while avoiding the complexities associated with Lagrangianformalism.
PB SIAM
YR 2024
FD 2024
LK https://hdl.handle.net/10630/36401
UL https://hdl.handle.net/10630/36401
LA eng
NO Artículo en open access
NO This work is supported by proyect PID2022-137637NB-C21 funded by MCIN/AEI/10.13039/501100011033/ and ERDF A way of making Europe, and proyect PDC2022-133663-C21 funded by MCIN/AEI/10.13039/501100011033 and European Union NextGenerationEU/PRTR. C. Caballero-C´ardenas is supported by the grant FPI2019/087773 funded by MCIN/AEI/10.13039/501100011033 and ESF Investing in your future.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 12 abr 2026