Skip to Main content Skip to Navigation
Journal articles

Numerical approximation of the shallow water equations with Coriolis source term

Abstract : We investigate in this work a class of numerical schemes dedicated to the non-linear Shallow Water equations with topography and Coriolis force. The proposed algorithms rely on Finite Volume approximations formulated on collocated and staggered meshes, involving appropriate diffusion terms in the numerical fluxes, expressed as discrete versions of the linear geostrophic balance. It follows that, contrary to standard Finite-Volume approaches, the linear versions of the proposed schemes provide a relevant approximation of the geostrophic equilibrium. We also show that the resulting methods ensure semi-discrete energy estimates. Numerical experiments exhibit the efficiency of the approach in the presence of Coriolis force close to the geostrophic balance, especially at low Froude number regimes.
Document type :
Journal articles
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03182659
Contributor : Virgile Dubos <>
Submitted on : Wednesday, July 7, 2021 - 1:23:56 PM
Last modification on : Thursday, July 15, 2021 - 3:26:47 AM

File

NUMERICAL APPROXIMATION OF THE...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03182659, version 2

Citation

Emmanuel Audusse, Virgile Dubos, Arnaud Duran, Noémie Gaveau, Youssouf Nasseri, et al.. Numerical approximation of the shallow water equations with Coriolis source term. ESAIM: Proceedings, EDP Sciences, 2021, 70, pp.31-44. ⟨hal-03182659v2⟩

Share

Metrics

Record views

54

Files downloads

9