3 papers
math.AP2026
Three-scale singular limits with applications to rapidly rotating fluids and the hyperbolization of dispersive systems
Vincent Duchêne, Arnaud Duran, Khawla Msheik
We consider singular problems for a general class of quasilinear hyperbolic systems that involve two a priori independent stiff parameters. We argue that such situations may lead t…
math.NA2016
An explicit asymptotic preserving low Froude scheme for the multilayer shallow water model with density stratification
Frédéric Couderc, Arnaud Duran, Jean-Paul Vila
We present an explicit scheme for a two-dimensional multilayer shallow water model with density stratification, for general meshes and collocated variables. The proposed strategy i…
math.NA2016
A discontinuous Galerkin method for a new class of Green-Naghdi equations on simplicial unstructured meshes
Arnaud Duran, Fabien Marche
In this paper, we introduce a discontinuous Finite Element formulation on simplicial unstructured meshes for the study of free surface flows based on the fully nonlinear and weakly…