Asymptotic derivation and simulations of a non-local Exner model in large viscosity regime

Autor: Martin Parisot, Léa Boittin, Emmanuel Audusse

Publikováno v: ESAIM: Mathematical Modelling and Numerical Analysis
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2021, 55 (4), pp.1635-1668. ⟨10.1051/m2an/2021031⟩
ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (4), pp.1635-1668. ⟨10.1051/m2an/2021031⟩

International audience; The present paper deals with the modeling and numerical approximation of bed load transport under the action of water. A new shallow water type model is derived from the stratified two-fluid Navier–Stokes equations. Its nove

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ece2b53430ace0a4e3544c22051053fb
https://hal.archives-ouvertes.fr/hal-03312836/document

A simple three-wave approximate Riemann solver for the Saint-Venant-Exner equations

Autor: Philippe Ung, Christophe Chalons, Emmanuel Audusse

Publikováno v: International Journal for Numerical Methods in Fluids. 87:508-528

Erosion and sediments transport processes have a great impact on industrial structures and on water quality. Despite its limitations, the Saint-Venant–Exner system is still (and for sure for some years) widely used in industrial codes to model the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::73a1a6d9ac24106bebdf6b450c73d9d6
https://doi.org/10.1002/fld.4500

Analysis of the Riemann Problem for a shallow water model with two velocities

Autor: Martin Parisot, Nina Aguillon, Emmanuel Audusse, Edwige Godlewski

Publikováno v: SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2018, ⟨10.1137/17M1152887⟩
SIAM Journal on Mathematical Analysis, 2018, ⟨10.1137/17M1152887⟩

International audience; Some shallow water type models describing the vertical profile of the horizontal velocity with several degrees of freedom have been recently proposed. The question addressed in the current work is the hyperbolicity of a shallo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb63832b9cfe4e946583a2c73b3181a2
https://hal.inria.fr/hal-01618722v2/file/Multicouche_V1.0.pdf

Analysis of modified Godunov type schemes for the two-dimensional linear wave equation with Coriolis source term on cartesian meshes

Autor: Yohan Penel, Minh Hieu Do, Emmanuel Audusse, Pascal Omnes

Publikováno v: Journal of Computational Physics
Journal of Computational Physics, 2018, 373, pp.91-129. ⟨10.1016/j.jcp.2018.05.015⟩

The study deals with collocated Godunov type finite volume schemes applied to the two-dimensional linear wave equation with Coriolis source term. The purpose is to explain the wrong behaviour of the classic scheme and to modify it in order to avoid a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::679fa621061d9e1a3321031367f60aa0
https://hal.archives-ouvertes.fr/hal-01618753/file/godunov_coriolis_2D_v1.pdf

Analysis of Apparent Topography scheme for the linear wave equation with Coriolis force

Autor: Yohan Penel, Emmanuel Audusse, Minh Hieu Do, Pascal Omnes

Publikováno v: FVCA 2017-Finite Volumes for Complex Applications VIII
FVCA 2017-Finite Volumes for Complex Applications VIII, Jun 2017, Lille, France. pp.209-217, ⟨10.1007/978-3-319-57394-6_23⟩
Springer Proceedings in Mathematics & Statistics ISBN: 9783319573939

International audience; The shallow water equations can be used to model many phenomena in geophysical fluid mechanics. For large scales, the Coriolis force plays an important role and the geostrophic equilibrium which corresponds to the balance betw

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9310c3e9c1038c3f56abc850c943aa6d
https://hal.science/hal-01690796/document