使用Gao-Yong湍流方程计算翼体角偶流动

Gao-Yong湍流方程基于侧偏统计平均方法保留了湍流脉动量的一阶统计信息,并引入加权漂移速度对称性及正交各向异性,导出漂移流连续方程、动量方程和机械能方程,最后依据湍流物理的唯象论,使用动量传输链概念模化封闭了整个方程组.大量算例验证了此方程对广泛范围的复杂湍流问题的适定性.为了进一步的工程应用,将其加入开源计算流体力学软件OpenFOAM(Open Field Operation and Manipulation)中,并就翼体角偶流动进行了数值模拟.翼体角偶流动具有三维分离、马蹄涡等十分复杂的流动特征,通过与实验测量结果的对比研究表明,Gao-Yong湍流方程不论在定性还是定量上,都成功捕捉到这类复杂流动现象的主要特征,得到了令人满意的结果.

Calculation of wing-body junction flow using Gao-Yong turbulence equations

The derivation of Gao-Yong turbulence equations was based on a partial statistical average scheme proposed in the past by the first author in an attempt to capture the drift flow,a first-order statistical moment of turbulent fluctuations.Continuity and momentum equations of turbulent fluctuations were obtained as a result of this valuable first statistical information.Orthotropic turbulence and momentum transfer chain were formulated in the modeling of correlation terms,eventually,led to a complete set of equations of turbulent flow with no empirical coefficients and wall functions.Numerical simulations in the past preliminarily verified the adaptability of Gao-Yong equations to a wide range of complex benchmark turbulent flows.In order to further application of these equations to engineering flows,the Gao-Yong turbulence equations were implemented into OpenFOAM and applied to the calculation of wing-body junction flow.The wing-body junction flow involves very complex feathers,such as a 3-D separation and a horseshoe vortex.The results of numerical simulation of this flow compared to experimental data show that all these main characteristics have been captured,both qualitatively and quantitatively.