气体动理学方法对斜界面不稳定性实验的数值模拟  

Numerical simulation of inclined Air/SF_6 interface experiment with Gas Kinetic Scheme

作　　者：邓新平[1,2] 柏劲松[1] 刘坤[1] 雷洁红[2] 

机构地区：[1]中国工程物理研究院流体物理研究所,绵阳621900 [2]西华师范大学物理与电子信息学院,南充637000

出　　处：《应用力学学报》2014年第1期61-66,6,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(11102192)

摘　　要：介绍了基于BGK模型(Bhatnagar-Gross-Krook)的气体动理学数值方法(Gas Kinetic Scheme,GKS),通过计算多组分激波管问题对以GKS方法实现的MBCD程序进行了验证,表明了在接触间断处产生的震荡非常小,网格收敛性好。在多组分问题求解时各组分满足同温和同速的假设条件下,利用该程序开展了Air/SF6斜界面不稳定性实验的数值模拟,得出了不同时刻SF6的密度分布图,并得到交界面宽度、斜界面左右端相对位置在激波穿过斜界面后的变化情况。通过与实验结果的比较可知,GKS方法和程序在网格数为1024×200和512×100时得到的交界面宽度与实验值的最大误差分别为6.1%和7.3%,可用于对界面不稳定性问题的计算。A numerical method of gas kinetic scheme based on the BGK(Bhatnagar-Gross-Krook) model is introduced in this paper. The computation code MBCD(Multi-Block, Component and Dimensional) realized with GKS is verified by one dimensional multicomponent shock tube. Under the condition of each component has the common temperature and velocity, the shock tube experiment of inclined Air/SF6interface instability is simulated by applying the MBCD program. The SF6density distribution at different moment is calculated in the simulation.Width of inclined interface, left and right positions of interface gradually increased with time after shock through the inclined interface. By comparison of the calculated results with the experiment, it is shown that GKS and MBCD code are suitable for simulating the interface instability.

关 键 词：BGK模型 GKS方法 斜界面不稳定性实验 数值模拟 

分 类 号：O354.5[理学—流体力学]