不可压缩多介质流动问题的数值模拟

Numerical Simulation of Incompressible Multi-Medium Flow Problem

摘要: 本文将基于MAC (Marker and cell)交错网格上的半拉格朗日方法推广应用于求解不可压缩多介质流动问题。通过求解Level set方程捕捉界面的位置，利用NGFM (New Ghost Fluid Method)方法定义界面边界条件，将多介质问题转化为单介质问题进行计算。给出了一种求解不可压缩多介质流动问题的简单且高效的数值算法。本文针对多个经典算例进行数值试验，数值结果表明本文所给出的方法可以有效的模拟流体的运动细节。

Abstract: In this work, the semi-Lagrangian method is extended to the simulation of incompressible mul-ti-medium flow on MAC staggered grid method. We track the fluid interface by solving the level set equation, and the NGFM is used to define the fluid interface condition such that the calculation can be carried out the same as that in the single medium flow. Several classic examples are simulated to test the algorithm given in this work. The numerical results show that the given algorithm can track the interface accurately and capture the physical details of the multi-medium flow.