非结构网格高超声速化学非平衡MHD流场数值模拟  

Numerical Simulation of Hypersonic MHD Flows with Nonequilibrium Chemical Reactions on Unstructured Meshes

作　　者：潘勇[1] 王江峰[1] 伍贻兆[1] 

机构地区：[1]南京航空航天大学航空宁航学院,江苏南京210016

出　　处：《航空学报》2008年第4期834-839,共6页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(10402013)

摘　　要：在非结构网格上对考虑化学非平衡效应的二维高超声速磁流体绕钝头体流动进行了数值模拟。控制方程由二维理想磁流体动力学(MHD)方程和组元连续方程两部分组成,化学动力学模型为5组元17反应模型。MHD方程空间离散采用AUSM格式,时间推进采用显式5步龙格-库塔格式,并通过弱耦合的方式与化学反应控制方程结合在一起。计算模型为二维钝头体,外加磁场为偶极子场,磁场源位于钝头体内部。在高超声速来流条件下,对有、无磁场干扰,是否考虑化学反应下的4种工况进行了数值计算,得到了满意的结果,并与有限的参考文献进行了对比。结果表明本文发展的方法能准确地模拟考虑化学非平衡效应的高超声速MHD流场。Two dimensional（2D）hypersonic magnetohydrodynamics（MHD） flows around a blunt body with chemical non-equilibrium effects are numerically simulated on unstructured meshes.The governing equations are 2D idea MHD equations and continuous equations of species,where five species and seventeen reactions are considered.The AUSM scheme is implemented in the spatial discretization for the MHD equations,and an explicit five-stage Runge-Kutta scheme is used for time integration,then a loosely coupled approach is implemented to communicate between the MHD equations and the chemical model.The computational model is a 2D blunt body,and the magnetic field is generated by a dipole located inside the body.With hypersonic incoming flows,four different conditions are numerically simulated,and magnetic field and nonequilibrium chemical reactions are considered respectively.Compared with limited references,the numerical results show the feasibility of the numerical methods in simulating hypersonic MHD flows with nonequilibrium chemical reactions.

关 键 词：非结构网格 MHD方程 化学非平衡 逆风格式 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程] O354.4[理学—流体力学]