两种多介质流体可压缩流动界面捕捉方法的数值研究

摘要

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.%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.