2 citations · 2 across the 2 of their papers we have counts for
4 papers
A Class of Collocated Finite Volume Schemes for Incompressible Flow Problems
R. Eymard, R. Herbin, J. -C Latché +1
In this paper, we present a class of finite volume schemes for incompressible flow problems. The unknowns are collocated at the center of the control volumes, and the stability of…
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…