Manuscrit de thèse
Publications
-
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]
Proceeding dans une conférence internationale
-
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 14 th International
Conference on Hyperbolic Problems, Padova, June 25-29, 2012, 8
:541-550, 2014. [pdf]
Soumis à la publication
-
A. Duran, F. Marche.
A discontinuous Galerkin method for a new class of Green-Naghdi equations
on unstructured simplicial meshes.
Submitted. [ArXiv]
-
F. Couderc, A. Duran, J.P. Vila.
An explicit asymptotic preserving low Froude scheme for the multilayer shallow water model with density stratification.
Submitted. [ArXiv]
-
A. Duran, J.P. Vila.
An entropy-satisfying scheme on general staggered grids for the multilayer shallow water system.
Submitted.
|
