Euler方程解的间断面的虚拟区域方法  

The ghost-field-building for capturing interfaces of euler equations

作　　者：张文忠[1] 封建湖[2] 汪达成[3] 

机构地区：[1]重庆交通学院,重庆400074 [2]长安大学理学院,陕西西安710064 [3]重庆交通学院基础科学部,重庆400074

出　　处：《重庆交通学院学报》2005年第3期157-160,共4页Journal of Chongqing Jiaotong University

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LevelSet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.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-dimensional Euler equations were also presented. Satisfactory results were obtained.

关 键 词：EULER方程 LevelSet方法 高分辨率激波捕捉方法 虚拟区域 

分 类 号：O241.82[理学—计算数学]