Skip to Main content Skip to Navigation
Journal articles

Models and methods for two-layer shallow water flows

Abstract : Two-layer shallow water models present at least two fundamental difficulties that are addressed in the present contribution. The first one is related to the lack of hyperbolicity of most existing models. By considering weak compressibility of the phases, a strictly hyperbolic formulation with pressure relaxation is obtained. It is shown to tend to the conventional two-layer model in the stiff pressure relaxation limit. The second issue is related to the non-conservative terms in the momentum equations. Analyzing the Riemann problem structure, local constants appear precisely at locations where the non-conservative products need definition. Thanks to these local constants, a locally conservative formulation of the equations is obtained, simplifying the Riemann problem resolution through a HLL-type Riemann solver. The method is compared to literature data, showing accurate and oscillation free solutions. Additional numerical experiments show robustness and accuracy of the method.
Complete list of metadatas

Cited literature [25 references]  Display  Hide  Download

https://hal-amu.archives-ouvertes.fr/hal-01809202
Contributor : Elena Rosu <>
Submitted on : Wednesday, June 6, 2018 - 3:19:36 PM
Last modification on : Thursday, January 23, 2020 - 6:22:04 PM
Long-term archiving on: : Friday, September 7, 2018 - 1:52:38 PM

File

CS_2017.pdf
Files produced by the author(s)

Identifiers

Citation

Alexandre Chiapolino, Richard Saurel. Models and methods for two-layer shallow water flows. Journal of Computational Physics, Elsevier, 2018, ⟨10.1016/j.jcp.2018.05.034⟩. ⟨hal-01809202⟩

Share

Metrics

Record views

110

Files downloads

236