Arnaud Duran

A. Duran, G.L. Richard
Discretization of a new model of dispersive waves with improved dispersive properties and exact conservation of energy.
To appear, 2024.

[Hal]

G.L. Richard, K. Msheik, A. Duran
A preliminary depth-integrated model for tsunamis propagation including water compressibility and sea floor elasticity.
European Journal of Mechanics - B/Fluids, 99: 84-97; 2023.

[Journal] [Hal]

C. Berthon, M.J. Castro, A. Duran, T. Morales, K. Saleh
Artificial viscosity to get both robustness and discrete entropy inequalities.
Journal of Scientific Computing, 97:65; 2023.

[Journal] [Hal]

E. Audusse, V. Dubos, A. Duran, N. Gaveau, Y. Nasseri, Y. Penel
Numerical approximation of the shallow water equations with Coriolis source term.
ESAIM: Proceedings and Surveys, 70; 31-44; 2021.

[Journal] [Hal]

A. Duran, G.L. Richard
Modelling coastal wave trains and wave breaking.
Ocean Modelling, 147; 2020.

[Journal] [Hal]

C. Berthon, A. Duran, K. Saleh
An Easy Control of the Artificial Numerical Viscosity to Get Discrete Entropy Inequalities When Approximating Hyperbolic Systems of Conservation Laws.
In: Demidenko G., Romenski E., Toro E., Dumbser M. (eds) Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy. Springer, 29-36, 2020

[Journal] [Hal]

A. Duran, J.P. Vila, R. Baraille
Energy-stable staggered schemes for the Shallow Water equations.
Journal of Computational Physics, 401; 2020.

[Journal] [Hal]

C. Berthon, A. Duran, F. Foucher, K. Saleh, J.D.D. Zabsonré
Improvement of the hydrostatic reconstruction scheme to get fully discrete entropy inequalities.
Journal of Scientific Computing, 80; 924-956, 2019.

[Journal] [Hal]

G.L. Richard, A. Duran, B. Fabrèges
A new model of shoaling and breaking waves. Part II. Run-up and two-dimensional waves.
Journal Fluid Mechanics, 867: 146-194, 2019

[Journal] [Hal]

A. Duran, J.P. Vila, R. Baraille
Semi-implicit staggered mesh scheme for the multi-layer shallow water system.
Comptes Rendus Mathématique, 355(12): 1298-1306, 2017

[Journal]

F. Couderc, A. Duran, J.P. Vila
An explicit asymptotic preserving low Froude scheme for the multilayer shallow water model with density stratification.
J. Comput. Phys., 343 :235-270, 2017

[Journal] [ArXiv]

A. Duran, F. Marche
A discontinuous Galerkin method for a new class of Green-Naghdi equations on unstructured simplicial meshes.
App. Math. Mod., 45 :840-864, 2017

[Journal] [ArXiv]

A. Duran
A robust and Well Balanced scheme for the 2D Saint-Venant system with friction source term on unstructured meshes.
Int. J. Numer. Meth. Fluids, 78 :89-121, 2015

[Journal] [Hal]

A. Duran, F. Marche
Discontinuous Galerkin discretization of a new class of Green-Naghdi equations.
CiCP, 17 :721-760, 2015

[Journal] [Hal]

A. Duran, F. Marche, R. Turpault, C. Berthon
Asymptotic Preserving Scheme for the Shallow Water equations with source terms on unstructured meshes.
J. Comput. Phys, 287 :184-206, 2015

[Journal]

A. Duran, F. Marche
Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms.
Comput. & Fluids, 101 :88-104, 2014

[Journal] [Hal]

A. Duran, F. Marche, Q. Liang
On the well-balanced numerical discretization of shallow water equations on unstructured meshes.
J. Comput. Phys., 235 :565-586, 2013

[Journal] [Hal]

G.L. Richard, K. Msheik, A. Duran
Prise en compte des effets d'élasticité de la Terre dans un modèle intégré sur la profondeur de propagation des tsunamis.
18èmes Journées de L'hydrodynamique, Poitiers, 2023

[Hal]

A. Duran, M. Kazakova, Y.-C. Hung, R. Baraille, F. Couderc, J.-P. Vila, J. Chauchat, G.L. Richard.
Développement d'un modèle dispersif hyperbolique pour les vagues côtières et implémentation dans Tolosa..
18èmes Journées de L'hydrodynamique, Poitiers, 2023

[Hal]

A. Duran, B. Fabrèges, M. Kazakova, G.L. Richard
A new model of shoaling and breaking waves - Wave trains and two-dimensional applications.
JNGCGC conference [canceled], 2020

[pdf]

G.L. Richard, A. Duran, M. Kazakova, B. Fabrèges
Un modèle dispersif pour la simulation numérique des vagues côtières de la zone de levée à la zone de jet de rive.
24e Congrès Français de mécanique, Brest, 2019

[pdf]

A. Duran, F. Marche, C. Berthon, R. Turpault
Numerical discretizations for shallow water equations with source terms on unstructured meshes. AIMS on Applied Mathematics. Hyperbolic Problems : Theory, Numerics, Applications.
Proceedings of the 14th International Conference on Hyperbolic Problems, Padova, June 25-29, 2012, 8 :541-550, 2014

[pdf]

A. Duran
Numerical simulation of depth-averaged flow models : a class of Finite Volume and discontinuous Galerkin approaches.
Université Montpellier II , Octobre 2014

[pdf] [Hal]