A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows E Audusse, F Bouchut, MO Bristeau, R Klein, B Perthame SIAM Journal on Scientific Computing 25 (6), 2050-2065, 2004 | 1300 | 2004 |
A well-balanced positivity preserving “second-order” scheme for shallow water flows on unstructured meshes E Audusse, MO Bristeau Journal of Computational physics 206 (1), 311-333, 2005 | 264 | 2005 |
A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation E Audusse, MO Bristeau, B Perthame, J Sainte-Marie ESAIM: Mathematical Modelling and Numerical Analysis 45 (1), 169-200, 2011 | 192 | 2011 |
A multilayer Saint-Venant model: derivation and numerical validation E Audusse Discrete and Continuous Dynamical Systems-B 5 (2), 189-214, 2005 | 190 | 2005 |
Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies E Audusse, B Perthame Proceedings of the Royal Society of Edinburgh Section A: Mathematics 135 (2 …, 2005 | 154 | 2005 |
Approximation of the hydrostatic Navier–Stokes system for density stratified flows by a multilayer model: kinetic interpretation and numerical solution E Audusse, MO Bristeau, M Pelanti, J Sainte-Marie Journal of Computational Physics 230 (9), 3453-3478, 2011 | 101 | 2011 |
Kinetic schemes for Saint-Venant equations with source terms on unstructured grids E Audusse, MO Bristeau, B Perthame INRIA, 2000 | 94 | 2000 |
Transport of pollutant in shallow water a two time steps kinetic method E Audusse, MO Bristeau ESAIM: Mathematical Modelling and Numerical Analysis 37 (2), 389-416, 2003 | 82 | 2003 |
Finite-volume solvers for a multilayer Saint-Venant system E Audusse, MO Bristeau International Journal of Applied Mathematics and Computer Science 17 (3 …, 2007 | 76 | 2007 |
Numerical simulations of 3D free surface flows by a multilayer Saint‐Venant model E Audusse, MO Bristeau, A Decoene International journal for numerical methods in fluids 56 (3), 331-350, 2008 | 67 | 2008 |
A simple well-balanced and positive numerical scheme for the shallow-water system E Audusse, C Chalons, P Ung Communications in Mathematical Sciences 13 (5), 1317-1332, 2015 | 51 | 2015 |
Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system E Audusse, F Bouchut, MO Bristeau, J Sainte-Marie Mathematics of Computation 85 (302), 2815-2837, 2016 | 50 | 2016 |
Sediment transport modelling: Relaxation schemes for Saint-Venant–Exner and three layer models E Audusse, C Berthon, C Chalons, O Delestre, N Goutal, M Jodeau, ... ESAIM: proceedings 38, 78-98, 2012 | 44 | 2012 |
Modélisation hyperbolique et analyse numérique pour les écoulements en eaux peu profondes E Audusse Paris 6, 2004 | 42 | 2004 |
A fast finite volume solver for multi-layered shallow water flows with mass exchange E Audusse, F Benkhaldoun, S Sari, M Seaid, P Tassi Journal of Computational Physics 272, 23-45, 2014 | 35 | 2014 |
Multilayer Saint-Venant equations over movable beds E Audusse, F Benkhaldoun, J Sainte-Marie, M Seaid Discrete and Continuous Dynamical Systems-Series B 15 (4), 917-934, 2011 | 24 | 2011 |
Preservation of the discrete geostrophic equilibrium in shallow water flows E Audusse, R Klein, DD Nguyen, S Vater Finite Volumes for Complex Applications VI Problems & Perspectives: FVCA 6 …, 2011 | 22 | 2011 |
A simple three‐wave approximate Riemann solver for the Saint‐Venant‐Exner equations E Audusse, C Chalons, P Ung International Journal for Numerical Methods in Fluids 87 (10), 508-528, 2018 | 21 | 2018 |
Conservative discretization of Coriolis force in a finite volume framework E Audusse, R Klein, A Owinoh Journal of Computational Physics 228 (8), 2934-2950, 2009 | 21 | 2009 |
Analysis of modified Godunov type schemes for the two-dimensional linear wave equation with Coriolis source term on cartesian meshes E Audusse, MH Do, P Omnes, Y Penel Journal of Computational Physics 373, 91-129, 2018 | 18 | 2018 |