A modified HLLC-type Riemann solver for the compressible six-equation two-fluid model

Abstract

We present a modified HLLC-type Riemann solver that is applicable to the compressible six-equation two-fluid model of the two-phase flow. The modified HLLC scheme restores all the characteristic fields that have been neglected by the recent HLLC scheme proposed by Zein et al. (Zein A, Hantke M, Warnecke G. Modeling phase transition for compressible two-phase flows applied to metastable liquids. J Comput Phys 2010;229:2964-98). We test the modified HLLC scheme on several 1D two-phase shock tube problems and a 2D shock-bubble interaction problem. The modified HLLC scheme is proved more accurate than other schemes like the Zein et al.'s HLLC scheme and the earlier two-phase HLL scheme developed by the present authors (Yearn GS, Chang KS. Numerical simulation of two-fluid two-phase flows by HLL scheme using an approximate Jacobian matrix. Numer Heat Transfer B-Fund 2006;49:155-77). The numerical test indicates that the present HLLC scheme is very robust and effective in acquiring high resolution for the waves in the six-equation two-fluid model. (C) 2013 Elsevier Ltd. All rights reserved.