RT Journal Article
T1 Implicit and implicit-explicit Lagrange-projection finite volume schemes exactly well-balanced for 1D shallow water system
A1 Caballero-Cárdenas, C
A1 Castro-Díaz, Manuel Jesús
A1 Morales-de-Luna, Tomás
K1 Método de los volúmenes finitos
K1 Lagrange, Ecuaciones de
AB In this paper we consider the Lagrange-Projection technique in the framework of finite volume schemes applied to the shallow water system. We shall consider two versions of the scheme for the Lagrangian step: one fully implicit and one implicit-explicit, based on how the geometric source term is treated. First and second order well-balanced versions of the schemes are presented, in which the water at rest solutions are preserved. This allows to obtain efficient numerical schemes in low Froude number regimes, as the usual CFL restriction driven by the acoustic waves is avoided.
PB Elsevier
YR 2022
FD 2022-12-25
LK https://hdl.handle.net/10630/26488
UL https://hdl.handle.net/10630/26488
LA eng
NO Caballero-Cárdenas, C., Castro, M. J., de Luna, T. M., & Muñoz-Ruiz, M. L. (2023). Implicit and implicit-explicit Lagrange-projection finite volume schemes exactly well-balanced for 1D shallow water system. Applied Mathematics and Computation, 443, 127784.
NO This work is partially supported by projects RTI2018-096064-B-C21 and RTI2018-096064-B-C22 funded by MCIN/AEI/10.13039/501100011033 and “ERDF A way of making Europe”, projects P18-RT-3163 of Junta de Andalucía and UMA18-FEDERJA-161 of Junta de Andalucía-FEDER-University of Málaga. C. Caballero-Cárdenas is supported by the grant FPI2019/087773 funded by MCIN/AEI/10.13039/501100011033 and “ESF Investing in your future”.   //  Funding for open access charge: Universidad de Málaga/CBUA.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026