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Arnaud Duran
Arnaud Duran
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Cited by
Cited by
Year
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
732013
Discontinuous-Galerkin discretization of a new class of Green-Naghdi equations
A Duran, F Marche
Communications in Computational Physics 17 (3), 721-760, 2015
602015
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
472014
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
462017
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
452017
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
292015
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
192019
Energy-stable staggered schemes for the shallow water equations
A Duran, JP Vila, R Baraille
Journal of computational Physics 401, 109051, 2020
162020
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
152015
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
142019
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
132017
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
102021
Modelling coastal wave trains and wave breaking
A Duran, GL Richard
Ocean Modelling 147, 101581, 2020
82020
Continuum Mechanics
C Berthon, A Duran, K Saleh
Applied Mathematics and Scientific Computing: Godunov’s Legacy, chapter An …, 2020
62020
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
42020
Numerical simulation of depth-averaged flow models: a class of Finite Volume and discontinuous Galerkin approaches.
A Duran
Université Montpellier II, 2014
42014
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
32023
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
32021
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
22023
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
22014
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