Numerical simulation of multiphase flows with large volume fraction of dispersed phase

Аuthors

Ivanov I. E.

Lomonosov Moscow State University, 1, Leninskie Gory, Moscow, 119991, Russia

e-mail: ivanovmai@mail.ru

Abstract

A mathematical model is suggested to investigate flows of two-phase liquids for cases when a volume fraction of the first phase cannot be neglected in comparison with the volume fraction of the second phase named as the carrying phase. Both phases are described as a compressible media. A hyperbolic-type system of equations expresses conservation laws for mass, momentum and energy. A higher-order Godunov-type numerical method is developed to solve this system of equations. Computational experiment results are presented for two-phase and two-fluids cases.

Keywords:

hyperbolic system of equations; two-phase flow; mathematical model; numerical simulation; breakdown of discontinuity