A multilayer Saint-Venant System : Derivation and Numerical Validation, Discrete Contin, Dyn. Syst. Ser. B, vol.5, issue.2, pp.189-214, 2005. ,
A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows, SIAM Journal on Scientific Computing, vol.25, issue.6, pp.2050-2065, 2004. ,
DOI : 10.1137/S1064827503431090
Transport of pollutant in shallow water flows : A two time steps kinetic method A well-balanced positivity preserving second-order scheme for shallow water flows on unstructured meshes Finite-volume solvers for a multilayer saint-venant system, J. Comput. Phys. Int. J. Appl. Math. Comput. Sci, vol.37, issue.5 3, pp.389-416, 2003. ,
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
An introduction to finite volume methods for
hyperbolic conservation laws, ESAIM: Proceedings, vol.15, pp.107-127, 2004. ,
DOI : 10.1051/proc:2005020
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
Derivation of a non-hydrostatic shallow water model; Comparison with Saint-Venant and Boussinesq systems, Discrete Contin. Dyn. Syst. Ser. B, vol.10, issue.4, pp.733-759, 2008. ,
URL : https://hal.archives-ouvertes.fr/inria-00232824
Vázquez-Cendón, Numerical simulation of two-layer shallow water flows through channels with irregular geometry, J. Comput. Phys, issue.1, pp.195-202, 2004. ,
-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
ASYMPTOTIC DERIVATION OF THE SECTION-AVERAGED SHALLOW WATER EQUATIONS FOR NATURAL RIVER HYDRAULICS, Mathematical Models and Methods in Applied Sciences, vol.19, issue.03, 2007. ,
DOI : 10.1142/S0218202509003474
URL : https://hal.archives-ouvertes.fr/hal-00275460
A new two-dimensional Shallow Water model including pressure effects and slow varying bottom topography, ESAIM: Mathematical Modelling and Numerical Analysis, vol.38, issue.2, pp.211-234, 2004. ,
DOI : 10.1051/m2an:2004010
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. ,
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
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
Alternative Form of Boussinesq Equations for Nearshore Wave Propagation, Journal of Waterway, Port, Coastal, and Ocean Engineering, vol.119, issue.6, pp.618-638, 1993. ,
DOI : 10.1061/(ASCE)0733-950X(1993)119:6(618)
Long waves on a beach, Journal of Fluid Mechanics, vol.13, issue.04, pp.815-827, 1967. ,
DOI : 10.1017/S0022112067002605
Kinetic formulation of conservation laws, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-01146188
A kinetic scheme for the Saint-Venant system??with a source term, Calcolo, vol.38, issue.4, pp.201-231, 2001. ,
DOI : 10.1007/s10092-001-8181-3
URL : https://hal.archives-ouvertes.fr/hal-00922664
Simulation model of a mesotrophic reservoir (Lac de Pareloup, France): melodia, an ecosystem reservoir management model, Ecological Modelling, vol.84, issue.1-3, pp.163-187, 1996. ,
DOI : 10.1016/0304-3800(94)00141-3
A numerical Method for Extended Boussinesq Shallow-Water Wave Equations, 1999. ,