预处理方法在全速度流场中的应用研究  

Study of preconditioning methods applied to flowfield at all speeds

作　　者：夏树宁[1] 吴宗成[1] 朱自强[1] 

机构地区：[1]北京航空航天大学航空科学与工程学院,北京100191

出　　处：《计算力学学报》2011年第B04期79-83,共5页Chinese Journal of Computational Mechanics

基　　金：国家重点基础研究发展计划(973);2009CB724100资助项目

摘　　要：应用预处理方法求解二维可压缩Navier-Stokes方程,发展出一套既适用于低速流动,也可用于可压缩流动的全速度流场解算方法。空间格式选用Ausm类格式,并采用多步Runge-Kutta时间推进方法。数值模拟了鼓包(Bump),RAE2822翼型,多段高升力翼型的不同速度绕流流场,并与实验数据进行了对比。结果表明预处理结果与实验数据吻合良好,并在收敛速度和精度方面都有很大的提高,显示本文的工作具有较大的工程实用意义。The preconditioning methods are used for solving two-dimensional compressible Navier-Stokes equations and an all-speed flow field numerical simulation method which can be used for both low-speed flows and compressible flows is developed. Ausm family schemes and multi-step Runge-Kutta time marching method are utilized to discretize Navier-Stokes equations. Numerical simulation results of flow field of a Bump, RAE2822 airfoil and multi-element high lift airfoil at different speeds are presented and are compared with the experimental data. The results showed that the calculation data based on preconditioning method are consistent with experimental data, and the convergence speed and accuracy are greatly improved, indicating the work of present paper has great practical significance.

关 键 词：预处理 NAVIER-STOKES方程 低速流动 多段翼型 

分 类 号：O35[理学—流体力学]