非定常低雷诺数流数值模拟方法研究  

Numerical Analysis of Unsteady Flows at Low Reynolds Number

作　　者：唐彬彬[1] 杨旭东[1] 

机构地区：[1]西北工业大学航空学院,陕西西安710072

出　　处：《航空计算技术》2010年第4期18-21,26,共5页Aeronautical Computing Technique

基　　金：国家自然科学基金资助项目(90605004)

摘　　要：低雷诺数翼型流动的一个重要特征是分离泡的产生,并且分离泡通常是非定常的。基于有限体积法,N-S方程和S-A模型的控制方程非耦合求解,时间均采用牛顿型LU-SGS方法推进,无粘项和粘性项用中心差分方法离散计算,在计算非定常流场时,采用伪时间子迭代方法,湍流模型计算时采用在固定点转捩,研究了二维翼型低雷诺数流粘性流动的数值模拟方法,并利用所开发的非定常可压缩粘性流计算方法,数值模拟了在低雷诺数下两种翼型的非定常流动。计算结果表明:气动力系数及分离泡呈规则的周期性变化,证明方法是成功的、可行的。The presence of the separation bubble is an important feature at low Reynolds number airfoil flows,and the separation bubble is usually unsteady.Based on the finite volume method,a numerical method for low Reynolds number viscous flow over the two-dimensional airfoils is studied,the N-S equation and the S-A model equation are solved uncoupled,and advanced in time with an implicit Newton-type LU-SGS method.The inviscid terms and viscous terms are used with the central difference method.The pseudo-time sub-iteration for unsteady computation is used.Turbulence models are calculated at a fixed point of transition.Using this method,this paper numerically simulates unsteady two dimensional flows over two airfoils at low Reynolds number.The results show that the force coefficients and separation bubble are periodic,which indicates the method is correct and feasible.

关 键 词：分离泡 低雷诺数 非定常 LU-SGS方法 

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]