Deng Sheng1,Li Huixiong1,Zhao Jianfu2,Chen Tingkuan1
(1.State Key Laboratory of Multiphase Flow in Power Engineering,Xi'an Jiaotong University,Xi'an 710049,China;2.National MicroGravity Laboratory,Institute of Mechanics,Chinese Academy of Sciences,Beijing 100080,China)
Abstract:General governing equations are established for the whole two-phase flow field with the help of a level set function.The equations are discretized by finite difference method in a staggered Cartesian grid system.Two schemes, i.e. the Superbee-total variation dimishing(TVD) scheme and 5-order weighted essentially non-oscillatory(WENO) scheme are adopted to solve the advection equation of the Level Set function, and a SIMPLER-based method is employed to seek solutions to the momentum equations of the two-phase flow.The numerical results show that the 5-order WENO scheme is much more effective than the Superbee-TVD scheme when applied to the computation of the Level Set equation,and the presented numerical method is suitable for the solution to gas-liquid two-phase flows with a liquid-gas density ratio larger than 1 000／1. Computations of several typical gas-liquid two-phase problems of large liquid-gas density ratios show that the numerical simulation can reasonably revealed the physical mechanisms and the method is quite promising in simulating the behaviors of moving interfaces in gas-liquid two-phase flows.
Keywords:Level Set method;gas-liquid two-phase flow;numerical simulation