Numerical Simulation of a Barotropic Two-Phase Flow Model with Miscible Phases

Abstract

This paper addresses the numerical approximation of a compressible barotropic two-phase flow model with miscible conditions. The first phase is a liquid while the second phase corresponds to a gaseous mixture, which contains two components that share the same volume (for example vapor and air). The fluid dynamic is depicted by a Baer-Nunziato-type model, involving non conservative coupling terms. The core of the paper is the simulation of this model by a Suliciu relaxation scheme initially designed for immiscible mixtures. The numerical results illustrate the convergence of the scheme, its robustness for low volume fraction regimes and its computational cost efficiency.