An artificial compressibility solver for parallel simulation of incompressible two-phase flows

Abstract

The artificial compressibility method was first introduced by Chorin for obtaining steady-state solutions of the incompressible Navier-Stokes equations. This chapter describes an artificial compressibility method for incompressible laminar two-phase flows and its implementation on a parallel computer. The full two-fluid model equations without phase change are simultaneously solved using a pseudotime variable that is added to the continuity equation of incompressible two-phase flows. Numerical results, obtained for a test problem of solution consistency, agree well with analytic solutions. Applicability of the method is demonstrated for a three dimensional two-phase flow simulation about a U-bend. Efficiency is examined on the Hitachi SR2201 parallel computer using domain decomposition and up to 16 processors.