一种求解欧拉方程的新的矢通量分裂方法  

A new flux splitting schemes for the Euler equations

作　　者：刘友琼[1] 任炯[1] 梁楠[1] 

机构地区：[1]长安大学理学院,陕西西安710064

出　　处：《纺织高校基础科学学报》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)

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 .

关 键 词：欧拉方程 矢通量分裂 对流方程 压强方程 接触间断 

分 类 号：O354[理学—流体力学] O241.82[理学—力学]