A multilayer Saint-Venant model : Derivation and numerical validation , Discrete Contin, Dyn. Syst. Ser. B, vol.5, issue.2, pp.189-214, 2005. ,
Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system., Published online in Math, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01063577
Finite-Volume Solvers for a Multilayer Saint-Venant System, International Journal of Applied Mathematics and Computer Science, vol.17, issue.3, pp.311-319, 2007. ,
DOI : 10.2478/v10006-007-0025-0
Numerical simulations of 3D free surface flows by a multilayer Saint-Venant model, International Journal for Numerical Methods in Fluids, vol.12, issue.3, pp.331-350, 2008. ,
DOI : 10.1002/fld.1534
Approximation of the hydrostatic Navier-Stokes system for density stratified flows by a multilayer model. Kinetic interpretation and numerical validation, J. Comp. Phys, pp.230-3453, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00654642
A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation, ESAIM: Mathematical Modelling and Numerical Analysis, vol.45, issue.1, pp.2-45, 2011. ,
DOI : 10.1051/m2an/2010036
URL : https://hal.archives-ouvertes.fr/inria-00551428
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment, ESAIM: Mathematical Modelling and Numerical Analysis, vol.42, issue.4, pp.683-698, 2008. ,
DOI : 10.1051/m2an:2008019
Gravity driven shallow water models for arbitrary topography, Communications in Mathematical Sciences, vol.2, issue.3, pp.359-389, 2004. ,
DOI : 10.4310/CMS.2004.v2.n3.a2
Homogeneous hydrostatic flows with convex velocity profiles, Nonlinearity, vol.12, issue.3, pp.495-512, 1999. ,
DOI : 10.1088/0951-7715/12/3/004
An energy-consistent depth-averaged euler system: Derivation and properties, Discrete and Continuous Dynamical Systems -Series, pp.961-988, 2015. ,
-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system, ESAIM: Mathematical Modelling and Numerical Analysis, vol.35, issue.1, pp.107-127, 2001. ,
DOI : 10.1051/m2an:2001108
URL : https://hal.archives-ouvertes.fr/hal-00908624
Vázquez-Cendón, Numerical simulation of two-layer shallow water flows through channels with irregular geometry, J. Comput. Phys, issue.1, pp.195-202, 2004. ,
Sigma transformation and ALE formulation for three-dimensional free surface flows, International Journal for Numerical Methods in Fluids, vol.61, issue.6, pp.357-386, 2009. ,
DOI : 10.1029/2004JC002328
URL : https://hal.archives-ouvertes.fr/inria-00541170
A multilayer shallow model for dry granular flows with the -rheology: application to granular collapse on erodible beds, Journal of Fluid Mechanics, vol.11, 2016. ,
DOI : 10.1016/0021-9991(80)90163-1
A Multilayer Method for the Hydrostatic Navier-Stokes Equations: A Particular Weak Solution, Journal of Scientific Computing, vol.40, issue.2, pp.408-437, 2014. ,
DOI : 10.1007/s10915-013-9802-0
Derivation of Viscous Saint-Venant System for Laminar Shallow Water; Numerical Validation, Discrete Contin, Dyn. Syst. Ser. B, vol.1, issue.1, pp.89-102, 2001. ,
On the derivation of homogeneous hydrostatic equations, ESAIM: Mathematical Modelling and Numerical Analysis, vol.33, issue.5, pp.2-33, 1999. ,
DOI : 10.1051/m2an:1999128
Entropy-based moment closures for kinetic equations, Proceedings of the International Conference on Latest Developments and Fundamental Advances in Radiative Transfer, pp.591-606, 1996. ,
DOI : 10.1016/0022-0396(80)90089-3
A shallow water model with eddy viscosity for basins with varying bottom topography, Nonlinearity, vol.14, issue.6, pp.1493-1515, 2001. ,
DOI : 10.1088/0951-7715/14/6/305
Mathematical Topics in Fluid Mechanics, 1996. ,
Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects, European Journal of Mechanics - B/Fluids, vol.26, issue.1, pp.49-63, 2007. ,
DOI : 10.1016/j.euromechflu.2006.04.007
On the Hs theory of hydrostatic Euler equations, Archive for Rational Mechanics and Analysis, pp.231-271, 2012. ,
Rough boundaries and wall laws, International Journal for Numerical Methods in Fluids, vol.318, issue.1-4, pp.169-177, 1998. ,
DOI : 10.1002/(SICI)1097-0363(199801)27:1/4<169::AID-FLD657>3.0.CO;2-4
Kinetic formulation of conservation laws, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-01146188
VERTICALLY AVERAGED MODELS FOR THE FREE SURFACE NON-HYDROSTATIC EULER SYSTEM: DERIVATION AND KINETIC INTERPRETATION, Mathematical Models and Methods in Applied Sciences, vol.21, issue.03, pp.459-490, 2011. ,
DOI : 10.1142/S0218202511005118