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两种多介质流体可压缩流动界面捕捉方法的数值研究
引用本文:马东军,蔡勇,孙德军,尹协远.两种多介质流体可压缩流动界面捕捉方法的数值研究[J].中国科学技术大学学报,2002,32(2):186-193.
作者姓名:马东军  蔡勇  孙德军  尹协远
作者单位:中国科技大学力学和机械工程系,安徽合肥,230027
基金项目:ThisprojectissupportedbytheNaturalScienceFoundationofChina (10 172 0 82 )
摘    要:本文比较研究两种多介质流体可压缩流动界面捕捉方法。其中混合模型界面捕捉方法将高精度PPM格式应用到多介质体积分数形式Euler方程组,用双波近似求解一般刚性气体状态方程Riemann问题;Level-Set界面捕捉方法应用无数值耗散的Ghost-Fluid-Method,并用WENO格式求解Euler运动方程和Level-Set演化方程。本文给出了一维气液接触间断,气液Riemann问题,激波接触间断相互作用,以及二维Richtmyer-Meshkov不稳定性的计算结果。

关 键 词:多介质流体  可压缩流动  界面捕捉方法  Ghost-Fluid-Method  高阶Godunov格式  Eulev方程组  PPM格式

Numerical Study of Interfacial Methods for Compressible Multi-Fluids
Abstract.Numerical Study of Interfacial Methods for Compressible Multi-Fluids[J].Journal of University of Science and Technology of China,2002,32(2):186-193.
Authors:Abstract
Abstract:In this paper, two interface capturing methods are studied for multi-fluid flows. The mixture-type interface capturing algorithm uses a simple volume-fraction model Euler equations solved by a high-resolution Piecewise-Parabolic-Method(PPM) with multi-fluid Riemann solver. The level set interface capturing method uses a narrow band Ghost-Fluid-Method(GFM), as well as Weighted-ENO scheme to compute Euler fluid motion equations and Hamilton-Jacobi level-set evolution equation. Several test examples are presented and compared for one and two dimensions, which show the feasibility of the two methods as applied to various multi-fluid problems.
Keywords:compressible multi-fluid flows  interface capturing method  Ghost Fluid Method  high-order Godunov scheme
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