44 citations · 103 across the 7 of their papers we have counts for
3 papers · 1 filter
Computing material fronts with a Lagrange-Projection approach
Christophe Chalons, Frédéric Coquel
This paper reports investigations on the computation of material fronts in multi-fluid models using a Lagrange-Projection approach. Various forms of the Projection step are conside…
Coupling techniques for nonlinear hyperbolic equations. I. Self-similar diffusion for thin interfaces
Benjamin Boutin, Frédéric Coquel, Philippe G. LeFloch
We investigate various analytical and numerical techniques for the coupling of nonlinear hyperbolic systems and, in particular, we introduce here an augmented formulation which all…
Why many theories of shock waves are necessary. Kinetic relations for nonconservative systems
Christophe Berthon, Frédéric Coquel, Philippe G. LeFloch
For a class of nonconservative hyperbolic systems of partial differential equations endowed with a strictly convex mathematical entropy, we formulate the initial value problem by s…