摘要
基于欧拉方程的求解提出了一种新的通量分裂方法,分别探究了与之相应的对流方程及压强方程,并对Zha-Bilgen格式进行了修正.利用新格式分别对一维欧拉方程的6个算例进行了计算,并将所得结果与精确解及现存的格式进行比较.数值算例表明新格式具有简单易行、鲁棒性和精确性等优点,而且此格式对接触间断位置及剪切波捕捉精确.
Based on the Euler equations ,a new flux splitting was proposed and the associated two systems of differential equations called advection system and pressure system were studied ,and revised the Zha-Bilgen splitting .Assessing the performance of these new schemes on the one-dimensional ,time dependent Euler equations for ideal gases ,all numerical results was compared with those exact solution .The result indicates that these schemes are simple ,robust and accurate when compared with existing methods .Mo-reover ,they enjoy a most desirable property ：recognition of contact discontinuities and shear waves .
出处
《纺织高校基础科学学报》
CAS
2013年第3期370-377,共8页
Basic Sciences Journal of Textile Universities
基金
长安大学中央高校基本科研业务费资助项目(HD2012TD015)
关键词
欧拉方程
矢通量分裂
对流方程
压强方程
接触间断
Euler equations
flux vector splitting
advection system
pressure system
contact discontinuity
