A Comparison Study of Numerical Methods for Compressible Two-Phase Flows. Issue 5 (11th July 2017)

• Record Type: Journal Article
• Authors: Lin, Jianyu; Ding, Hang; Lu, Xiyun; Wang, Peng
• Is Part Of: Advances in applied mathematics and mechanics. Volume 9:Issue 5(2017)
• Page Start: 1111
• Page End: 1132
• Publication Date: 2017-07-11
• Subjects: 76E17, -- 76L05, -- 76T10; Diffuse interface method, -- modified ghost fluid method, -- cut-cell method, -- compressible flow, -- two-phase flow; Engineering mathematics -- Periodicals; Mechanics -- Periodicals; 620.00151825
• DOI: 10.4208/aamm.OA-2016-0084
• Languages: English
• ISSNs: 2070-0733

Abstract

Abstract: In this article a comparison study of the numerical methods for compressible two-phase flows is presented. Although many numerical methods have been developed in recent years to deal with the jump conditions at the fluid-fluid interfaces in compressible multiphase flows, there is a lack of a detailed comparison of these methods. With this regard, the transport five equation model, the modified ghost fluid method and the cut-cell method are investigated here as the typical methods in this field. A variety of numerical experiments are conducted to examine their performance in simulating inviscid compressible two-phase flows. Numerical experiments include Richtmyer-Meshkov instability, interaction between a shock and a rectangle SF 6 bubble, Rayleigh collapse of a cylindrical gas bubble in water and shock-induced bubble collapse, involving fluids with small or large density difference. Based on the numerical results, the performance of the method is assessed by the convergence order of the method with respect to interface position, mass conservation, interface resolution and computational efficiency.