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- Thierry Gallouet, Jean-Marc Herard, Nicolas Seguin, THIERRY GALLOUËT
- 2017

The present paper is devoted to the computation of two-phase flows using the two-fluid approach. The overall model is hyperbolic and has no conservative form. No instantaneous local equilibrium between phases is assumed, which results in a two-velocity twopressure model. Original closure laws for interfacial velocity and interfacial pressure are proposed.… (More)

- 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)

- 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)

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)

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

The paper is devoted to the computation of two-phase flows in a porous medium when applying the two-fluid approach. The basic formulation is presented first, together with the main properties of the model. A few basic analytic solutions are then provided, some of them corresponding to solutions of the one-dimensional Riemann problem. Three distinct… (More)

- Fabien Crouzet, Frédéric Daude, +4 authors Yujie Liu
- 2017

We examine in this paper the accuracy of some approximations of the BaerNunziato two-phase flow model. The governing equations and their main properties are recalled, and two distinct numerical schemes are investigated, including a classical secondorder extension relying on symmetrizing variables. Shock tube cases are considered, and two simple Riemann… (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)

- Hippolyte Lochon, Frédéric Daude, +4 authors P. Galon
- 2017

This paper is devoted to the comparison of three two-fluid models in steam-water applications involving phase transition and shock waves. The three models are presented in a common formalism that helps to underline their shared properties. A numerical method based on previous work is extended to all models and to more complex Equations Of State. Particular… (More)

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

We present a relaxation scheme for approximating the entropy dissipating weak solutions of the BaerNunziato two-phase flow model. This relaxation scheme is straightforwardly obtained as an extension of the relaxation scheme designed in [16] for the isentropic Baer-Nunziato model and consequently inherits its main properties. Up to our knowledge, this is the… (More)