Abstract: It is inevitable to use the grid points on the two sides of a discontinuity when high resolution shock capturing schemes were used. That results in dissipation of numerical solutions near the discontinuous interfaces. In this paper, the ghost-fluid building and level set approaches were introduced for the solution of Euler equations. These techniques coupled with high resolution shock capturing schemes could greatly improve the resolution of numerical solutions. Numerical experiments for one-dim...

Key words: Euler equations, Level Set method, high resolution shock capturing method, ghost fluid

摘要： 用高分辨率激波捕捉格式求解Euler方程时，不可避免地会用到间断面两侧的点，从而在间断面附近发生数 值耗散，降低分辨率。此文应用一种虚拟区域，将level Set方法与高分辨率激波捕捉方法结合起来求解Euler方程， 不使用间断面两侧的点，从而提高了分辨率。通过激波管问题的数值实验，可以看到这种方法的优越性

关键词: Euler方程, level Set方法, 高分辨率激波捕捉方法, 虚拟区域