Finite volume methods are a class of discretization schemes resulting from the
decomposition of a problem domain into nonoverlapping control volumes. Degrees of …

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 …

We present in this paper some algorithms dedicated to the computation of numerical
approximations of a class of two-fluid two-phase flow models. Governing equations for the …

This paper is devoted to the validation of a two-fluid two-phase flow model in some highly
unsteady situations involving strong rarefaction waves and shocks in water-vapor flows. The …

A robust and efficient density-based finite volume method is developed for solving the six-
equation single pressure system of two-phase flows at all speeds on hybrid unstructured …

A robust and efficient finite volume method with interface sharpening technique has been
developed to solve the six-equation multi-fluid single-pressure model for compressible two …

We review and extend a hierarchy of relaxation models for two-phase flow. The models are
derived from the non-equilibrium Baer–Nunziato model, which is endowed with relaxation …

Abstract An enhanced AUSM^+ AUSM+-up scheme is presented for high-speed
compressible two-phase flows using a six-equation two-fluid single-pressure model. Based …

A homogeneous model is proposed in order to deal with the simulation of fast transient three-
phase ows involving heat and mass transfer. The model accounts for the full …

This paper is devoted to the treatment of specific numerical problems which appear when
phase appearance or disappearance occurs in models of two-phase flows. Such models …