227 citations · 323 across the 28 of their papers we have counts for
5 papers · 1 filter
Conservativity and Weak Consistency of a Class of Staggered Finite Volume Methods for the Euler Equations
R. Herbin, J. -C. Latché, S. Minjeaud +1
We address a class of schemes for the Euler equations with the following features: the space discretization is staggered, possible upwinding is performed with respect to the materi…
Consistent Internal Energy Based Schemes for the Compressible Euler Equations
R. Herbin, T. Gallouët, J. -C Latché +1
Numerical schemes for the solution of the Euler equations have recently been developed, which involve the discretisation of the internal energy equation, with corrective terms to e…
A decoupled staggered scheme for the shallow water equations
Raphaèle Herbin, Jean-Claude Latché, Youssouf Nasseri +1
We present a first order scheme based on a staggered grid for the shallow water equations with topography in two space dimensions, which enjoys several properties: positivity of th…
On The Weak Consistency of Finite Volumes Schemes for Conservation Laws on General Meshes
Thierry Gallouët, R. Herbin, J. -C Latché
The aim of this paper is to develop some tools in order to obtain the weak consistency of (in other words, analogues of the Lax-Wendroff theorem for) finite volume schemes for bala…
The gradient discretisation method for linear advection problems
Jérôme Droniou, Robert Eymard, T. Gallouët +1
We adapt the Gradient Discretisation Method (GDM), originally designed for elliptic and parabolic partial differential equations, to the case of a linear scalar hyperbolic equation…