Zobrazeno 1 - 10
of 106
pro vyhledávání: '"Sainte Marie, Jacques"'
We study a linear model for the propagation of hydro-acoustic waves and tsunami in a stratified free-surface ocean. A formulation was previously obtained by linearizing the compressible Euler equations. The new formulation is obtained by studying the
Externí odkaz:
http://arxiv.org/abs/2404.17219
Autor:
Di Martino, Bernard, Hassanieh, Chourouk El, Godlewski, Edwige, Guillod, Julien, Sainte-Marie, Jacques
By a semi-Lagrangian change of coordinates, the hydrostatic Euler equations describing free-surface sheared flows is rewritten as a system of quasilinear equations, where stability conditions can be determined by the analysis of its hyperbolic struct
Externí odkaz:
http://arxiv.org/abs/2308.15083
Autor:
Basquin, Elise, El Baz, Apolline, Sainte-Marie, Jacques, Rabaute, Alain, Thomas, Maud, Lafuerza, Sara, El M'rini, Abdelmounim, Mercier, Denis, d’Acremont, Elia, Bristeau, Marie-Odile, Creach, Axel
Publikováno v:
In Natural Hazards Research September 2023 3(3):494-507
We are interested in the numerical approximation of the hydrostatic free surface incompressible Navier-Stokes equations. By using a layer-averaged version of the equations, we are able to extend previous results obtained for shallow water system. We
Externí odkaz:
http://arxiv.org/abs/1710.04054
In this paper we propose a strategy to approximate incompressible hydrostatic free surface Euler and Navier-Stokes models. The main advantage of the proposed models is that the water depth is a dynamical variable of the system and hence the model is
Externí odkaz:
http://arxiv.org/abs/1509.06218
Autor:
Bristeau, Marie-Odile, Di Martino, Bernard, Mangeney, Anne, Sainte-Marie, Jacques, Souille, Fabien
Publikováno v:
Comptes Rendus. Mathématique, Vol 358, Iss 11-12, Pp 1111-1118 (2021)
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 allow a numerical validatio
Externí odkaz:
https://doaj.org/article/a8e9a696b27449508a02ae17a7ed26b3
A lot of well-balanced schemes have been proposed for discretizing the classical Saint-Venant system for shallow water flows with non-flat bottom. Among them, the hydrostatic reconstruction scheme is a simple and efficient one. It involves the knowle
Externí odkaz:
http://arxiv.org/abs/1409.3825
Publikováno v:
Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2015, 20 (4), pp.28
In this paper, we present an original derivation process of a non-hydrostatic shallow water-type model which aims at approximating the incompressible Euler and Navier-Stokes systems with free surface. The closure relations are obtained by aminimal en
Externí odkaz:
http://arxiv.org/abs/1406.6565
Publikováno v:
Bulletin of the American Meteorological Society, 2019 Mar 01. 100(3), ES109-ES115.
Externí odkaz:
https://www.jstor.org/stable/27026659
Publikováno v:
Communications in Mathematical Sciences Volume 13 (2015) Number 3
Developing robust data assimilation methods for hyperbolic conservation laws is a challenging subject. Those PDEs indeed show no dissipation effects and the input of additional information in the model equations may introduce errors that propagate an
Externí odkaz:
http://arxiv.org/abs/1309.5613