Numerical approximation of the 3d hydrostatic Navier-Stokes system with free surface

Autor: Allgeyer, S., Bristeau, Marie-Odile, Froger, D., Hamouda, R., Mangeney, Anne, Sainte-Marie, J., Souillé, Fabien, Vallée, M.

In this paper we propose a stable and robust strategy to approximate the 3d incompressible hydrostatic Euler and Navier-Stokes systems with free surface. Compared to shallow water approximation of the Navier-Stokes system, the idea is to use a Galerk

Externí odkaz: http://arxiv.org/abs/1709.06267

Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.

Low-Mach type approximation of the Navier-Stokes system with temperature and salinity for free surface flows

Autor: Boittin, Léa, Bristeau, Marie-Odile, Bouchut, François, Mangeney, Anne, Sainte-Marie, Jacques, Souillé, Fabien

Publikováno v: Communications in Mathematical Sciences
Communications in Mathematical Sciences, International Press, In press
Communications in Mathematical Sciences, 2023, 21 (1), pp.151-172. ⟨10.4310/CMS.2023.v21.n1.a7⟩

International audience; We are interested in free surface flows where density variations coming e.g. from temperature or salinity differences play a significant role in the hydrody-namic regime. In water, acoustic waves travel much faster than gravit

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed1570c0aef191888131d49f2ed04251
https://hal.inria.fr/hal-02510711v2/file/Navier_Stokes_Fourier___I.pdf

The Navier-Stokes system with temperature and salinity for free surface flows Part II: Numerical scheme and validation

Autor: Boittin, Léa, Bouchut, François, Bristeau, Marie-Odile, Mangeney, Anne, Sainte Marie, Jacques, Souillé, Fabien

In this paper, we propose a numerical scheme for the layer-averaged Euler with variable density and the Navier-Stokes-Fourier systems presented in part I (Boittin et al., 2018). These systems model hydrostatic free surface flows with density variatio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::d02c4f3ad2c8067f8321a073990200dc
https://hal.inria.fr/hal-02969620

Some quasi-analytical solutions for propagative waves in free surface Euler equations

Autor: Bristeau, Marie-Odile, Di Martino, Bernard, Mangeney, Anne, Sainte-Marie, Jacques, Souillé, Fabien

Publikováno v: Comptes Rendus. Mathématique
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2020, Comptes rendus mathématique, 358 (11-12), pp.1111-1118. ⟨10.5802/crmath.63⟩

International audience; This note describes some quasi-analytical solutions for wave propagation in free surface Euler equations and linearized Euler equations. The obtained solutions vary from a sinusoidal form to a form with singularities. They all

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::b2a47cce46c7e3d8a4b69bafe8afccbc
https://hal.archives-ouvertes.fr/hal-02454029/file/Waves_propagation.pdf