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- Jean-Marc Hérard
- Mathematical and Computer Modelling
- 2007

We present here a three-fluid three-pressure model to describe three-field patterns or three-phase flows. The basic ideas rely on the counterpart of the two-fluid two-pressure model which has been introduced in the DDT (deflagration to detonation theory) framework, and has been more recently extended to liquid–vapour simulations. We first show that the… (More)

- Thierry Gallouet, Jean-Marc Hérard, Olivier Hurisse, Alain-Yves LeRoux
- 2006

The paper is devoted to the analysis of the real accuracy of different schemes when computing a simple hyperbolic model with source terms, which describes the motion of two-phase flows including source terms. The strategy of upwinding the source terms is investigated and compared with the standard fractional step method. A first scheme relies on the usual… (More)

- Sylvain Boivin, Florent Cayré, Jean-Marc Hérard
- 2000

— A method to solve the Navier–Stokes equations for incompressible viscous flows and the convection and diffusion of a scalar is proposed in the present paper. This method is based upon a fractional time step scheme and the finite volume method on unstructured meshes. A recently proposed diffusion scheme with interesting theoretical and numerical properties… (More)

- Thierry Buffard, Thierry Gallouet, Jean-Marc Hérard
- 2003

A naïve scheme to solve shallow-water equations ABSTRACT : A Finite-Volume scheme to solve shallow-water equations is proposed herein. This scheme makes use of velocity-celerity variables. It enables computing dam-break waves on dry bottom and generation of dry beds. ABRIDGED ENGLISH VERSION We introduce here a new Finite-Volume scheme in order to solve… (More)

- Philippe Helluy, Jean-Marc Hérard, Hélène Mathis
- J. Computational Applied Mathematics
- 2012

We construct an approximate Riemann solver for the isentropic Baer-Nunziato two-phase flow model, that is able to cope with arbitrarily small values of the statistical phase fractions. The solver relies on a relaxation approximation of the model for which the Riemann problem is exactly solved for subsonic relative speeds. In an original manner, the Riemann… (More)

- Gloria FACCANONI, Rémi ABGRALL, +4 authors Vincent GIOVANGIGLI
- 2009

An approximate solution of the Riemann problem associated with a realisable and objective turbulent second-moment closure, which is valid for compressible flows, is examined. The main features of the continuous model are first recalled. An entropy inequality is exhibited, and the structure of waves associated with the non-conservative hyperbolic convective… (More)

- UNSTEADY FLASHING FLOWS, Michel Barret, Eric Faucher, Jean-Marc Hérard
- 2003

We provide herein some ways to compute flashing flows in variable cross section ducts, focusing on the Homogeneous Relaxation Model. The basic numerical method relies on a splitting technique which is consistent with the overall entropy inequality. The cross section is assumed to be continuous, and the Finite Volume approach is applied to approximate… (More)

- Frédéric Coquel, Jean-Marc Hérard, Khaled Saleh
- J. Comput. Physics
- 2017