A five equation reduced model for compressible two phase flow problems

A Murrone, H Guillard - Journal of Computational Physics, 2005 - Elsevier
This paper studies an Eulerian diffuse interface model for the simulation of compressible
multifluid and two-phase flow problems. We first show how to derive this model from a seven …

NEPTUNE: a new software platform for advanced nuclear thermal hydraulics

A Guelfi, D Bestion, M Boucker, P Boudier… - Nuclear Science and …, 2007 - Taylor & Francis
The NEPTUNE project constitutes the thermal-hydraulic part of the long-term Electricité de
France and Commissariat à l'Energie Atomique joint research and development program for …

Numerical modeling of two-phase flows using the two-fluid two-pressure approach

T Gallouët, JM Hérard, N Seguin - Mathematical Models and …, 2004 - World Scientific
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 …

Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows

F Thein, E Romenski, M Dumbser - Journal of Scientific Computing, 2022 - Springer
In this work we study the solution of the Riemann problem for the barotropic version of the
conservative symmetric hyperbolic and thermodynamically compatible (SHTC) two-phase …

A Godunov-type method for the seven-equation model of compressible two-phase flow

A Ambroso, C Chalons, PA Raviart - Computers & Fluids, 2012 - Elsevier
We are interested in the numerical approximation of the solutions of the compressible seven-
equation two-phase flow model. We propose a numerical srategy based on the derivation of …

Two approaches to compute unsteady compressible two-phase flow models with stiff relaxation terms

JM Hérard, G Jomée - ESAIM: Mathematical Modelling and …, 2023 - esaim-m2an.org
The paper deals with the numerical modeling of two-phase flows while using Baer–Nunziato
type models. Focus is given here on the numerical treatment of source terms that involve …

[HTML][HTML] A three-phase flow model

JM Hérard - Mathematical and computer modelling, 2007 - Elsevier
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 …

Entropy stable DGSEM for nonlinear hyperbolic systems in nonconservative form with application to two-phase flows

F Renac - Journal of Computational Physics, 2019 - Elsevier
In this work, we consider the discretization of nonlinear hyperbolic systems in
nonconservative form with the high-order discontinuous Galerkin spectral element method …

Relaxation and numerical approximation of a two-fluid two-pressure diphasic model

A Ambroso, C Chalons, F Coquel… - … Modelling and Numerical …, 2009 - numdam.org
This paper is concerned with the numerical approximation of the solutions of a two-fluid two-
pressure model used in the modelling of two-phase flows. We present a relaxation strategy …

A positive and entropy-satisfying finite volume scheme for the Baer–Nunziato model

F Coquel, JM Hérard, K Saleh - Journal of Computational Physics, 2017 - Elsevier
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 …