On the well-balanced numerical discretization of shallow water equations on unstructured meshes A Duran, Q Liang, F Marche Journal of Computational Physics 235, 565-586, 2013 | 73 | 2013 |
Discontinuous-Galerkin discretization of a new class of Green-Naghdi equations A Duran, F Marche Communications in Computational Physics 17 (3), 721-760, 2015 | 60 | 2015 |
Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms A Duran, F Marche Computers & Fluids 101, 88-104, 2014 | 47 | 2014 |
An explicit asymptotic preserving low Froude scheme for the multilayer shallow water model with density stratification F Couderc, A Duran, JP Vila Journal of Computational Physics 343, 235-270, 2017 | 46 | 2017 |
A discontinuous Galerkin method for a new class of Green–Naghdi equations on simplicial unstructured meshes A Duran, F Marche Applied Mathematical Modelling 45, 840-864, 2017 | 45 | 2017 |
Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes A Duran, F Marche, R Turpault, C Berthon Journal of Computational Physics 287, 184-206, 2015 | 29 | 2015 |
Improvement of the hydrostatic reconstruction scheme to get fully discrete entropy inequalities C Berthon, A Duran, F Foucher, K Saleh, JDD Zabsonré Journal of Scientific Computing 80, 924-956, 2019 | 19 | 2019 |
Energy-stable staggered schemes for the shallow water equations A Duran, JP Vila, R Baraille Journal of computational Physics 401, 109051, 2020 | 16 | 2020 |
A robust and well‐balanced scheme for the 2D Saint‐Venant system on unstructured meshes with friction source term A Duran International Journal for Numerical Methods in Fluids 78 (2), 89-121, 2015 | 15 | 2015 |
A new model of shoaling and breaking waves. Part 2. Run-up and two-dimensional waves GL Richard, A Duran, B Fabrèges Journal of Fluid Mechanics 867, 146-194, 2019 | 14 | 2019 |
Semi-implicit staggered mesh scheme for the multi-layer shallow water system A Duran, JP Vila, R Baraille Comptes Rendus. Mathématique 355 (12), 1298-1306, 2017 | 13 | 2017 |
Numerical approximation of the shallow water equations with Coriolis source term E Audusse, V Dubos, A Duran, N Gaveau, Y Nasseri, Y Penel ESAIM: Proceedings and Surveys 70, 31-44, 2021 | 10 | 2021 |
Modelling coastal wave trains and wave breaking A Duran, GL Richard Ocean Modelling 147, 101581, 2020 | 8 | 2020 |
Continuum Mechanics C Berthon, A Duran, K Saleh Applied Mathematics and Scientific Computing: Godunov’s Legacy, chapter An …, 2020 | 6 | 2020 |
An easy control of the artificial numerical viscosity to get discrete entropy inequalities when approximating hyperbolic systems of conservation laws C Berthon, A Duran, K Saleh Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's …, 2020 | 4 | 2020 |
Numerical simulation of depth-averaged flow models: a class of Finite Volume and discontinuous Galerkin approaches. A Duran Université Montpellier II, 2014 | 4 | 2014 |
A preliminary depth-integrated model for tsunamis propagation including water compressibility and seafloor elasticity GL Richard, K Msheik, A Duran European Journal of Mechanics-B/Fluids 99, 84-97, 2023 | 3 | 2023 |
Global entropy stability for a class of unlimited high-order schemes for hyperbolic systems of conservation laws L Martaud, M Badsi, C Berthon, A Duran, K Saleh | 3 | 2021 |
Artificial viscosity to get both robustness and discrete entropy inequalities C Berthon, MJ Castro Díaz, A Duran, T Morales de Luna, K Saleh Journal of Scientific Computing 97 (3), 65, 2023 | 2 | 2023 |
Numerical discretizations for shallow water equations with source terms on unstructured meshes A Duran, F Marche, C Berthon, R Turpault Hyperbolic problems: theory, numerics, applications 8, 541-549, 2014 | 2 | 2014 |