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Euler方程解的间断面的虚拟区域方法

, PP. 157-160

Keywords: Euler方程,levelSet方法,高分辨率激波捕捉方法,虚拟区域,Eulerequations,LevelSetmethod,highresolutionshockcapturingmethod,ghostfluid

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Abstract:

:?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

References

[1]  Abstract,It is inevitable to use the d points on the two sides of a discontinuity when Ugh resolution shock capturing schemes were used. That results in dissipafon numerical solutions ne&F the discontinuous interfaces.In this paper,the ghost-fluid building and level Set-proaches were introduced for the solution of Euler equations.These techniques coupled with high resolution shock capturing schemes could greatly improve the resolution numerical solutions.Numerical experiments for one-dimensional Euler equations were also presented.Sail- dactory results were obtained.

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