44 citations · 103 across the 7 of their papers we have counts for
8 papers
Coupling techniques for nonlinear hyperbolic equations. II. Resonant interfaces with internal structure
Benjamin Boutin, Frédéric Coquel, Philippe G. LeFloch
In the first part of this series, an augmented PDE system was introduced in order to couple two nonlinear hyperbolic equations together. This formulation allowed the authors, based…
An entropy stable high-order discontinuous Galerkin spectral element method for the Baer-Nunziato two-phase flow model
Frédéric Coquel, Claude Marmignon, Pratik Rai +1
In this work we propose a high-order discretization of the Baer-Nunziato two-phase flow model (Baer and Nunziato, Int. J. Multiphase Flow, 12 (1986), pp. 861-889) with closures for…
A Positive and Entropy-Satisfying Finite Volume Scheme for the Baer-Nunziato Model
Frédéric Coquel, Jean-Marc Hérard, Khaled Saleh
We present a relaxation scheme for approximating the entropy dissipating weak solutions of the Baer-Nunziato two-phase flow model. This relaxation scheme is straightforwardly obtai…
Coupling techniques for nonlinear hyperbolic equations. IV. Multi-component coupling and multidimensional well-balanced schemes
Benjamin Boutin, Frédéric Coquel, Philippe G. LeFloch
This series of papers is devoted to the formulation and the approximation of coupling problems for nonlinear hyperbolic equations. The coupling across an interface in the physical…
Coupling techniques for nonlinear hyperbolic equations. III. The well-balanced approximation of thick interfaces
Benjamin Boutin, Frédéric Coquel, Philippe G. LeFloch
We continue our analysis of the coupling between nonlinear hyperbolic problems across possibly resonant interfaces. In the first two parts of this series, we introduced a new frame…
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…