In this paper, we prove the existence of global weak solutions to the compressible two-fluid
Navier–Stokes equations in three dimensional space. The pressure depends on two …

The purpose of this paper is to explore a viscous two-phase liquid–gas model relevant for
well and pipe flow. Our approach relies on applying suitable modifications of techniques …

This paper focuses on the extension of the Weighted Average Flux (WAF) scheme for the
numerical simulation of two-phase gas–liquid flow by imposing velocity equilibrium and …

A hierarchy of relaxation two-phase flow models is considered, formulated as hyperbolic
relaxation systems with source terms. The relaxation terms cause volume, heat, and mass …

We study a viscous two-phase liquid-gas model relevant for well and pipe flow modelling.
The gas is assumed to be polytropic whereas the liquid is treated as an incompressible fluid …

We propose a simple model of two-phase gas–liquid flow by imposing a quasi-equilibrium
on the mixture momentum balance of the classical transient drift-flux model. This reduces the …

This book focuses on the interplay between Eulerian and Lagrangian conservation laws for
systems that admit physical motivation and originate from continuum mechanics. Ultimately …

In this paper we analyze the Riemann problem for the widely used drift-flux two-phase flow
model. This analysis introduces the complete information that is attained in the …

This article is to continue the present author's work (International Journal of Computational
Fluid Dynamics (2009) 23 (9), 623–641) on studying the structure of solutions of the …

We construct a Roe-type numerical scheme for approximating the solutions of a drift-flux two-
phase flow model. The model incorporates a set of highly complex closure laws, and the …