The seven-equation model for two-phase flows is a full non-equilibrium model, each phase
has its own pressure, velocity, temperature, etc. A single value for each property, an …

We consider the Riemann problem for the two-phase flow model, proposed by Baer and
Nunziato [Int. J. Multiphase Flows 12 (1986) 861]. It describes the flame spread and the …

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 …

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 …

The quasi-one-dimensional Euler equations in a duct of variable cross section form probably
one of the simplest nonconservative systems. We consider the Riemann problem for it and …

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 class of non-equilibrium models for compressible multi-component fluids in multi-
dimensions is investigated taking into account viscosity and heat conduction. These models …

In this paper, the Riemann solutions of a reduced 6× 6 blood flow model in medium-sized to
large vessels are constructed. The model is nonstrictly hyperbolic and non-conservative in …

This article is devoted to the numerical discretisation of the hyperbolic two-phase flow model
of Baer and Nunziato. A special attention is paid on the discretisation of intercell flux …

Gas flow in porous media with a nonconstant porosity function provides a nonconservative
Euler system. We propose a new class of schemes for such a system for the one …