基于S-A湍流模型和间歇因子输运方程的转捩流数值模拟  

Numerical simulation of transition flows based on S-A turbulence model and intermittency transport equation

作　　者：杜磊[1] 宁方飞[1] 

机构地区：[1]北京航空航天大学能源与动力工程学院,北京100191

出　　处：《航空动力学报》2015年第10期2450-2461,共12页Journal of Aerospace Power

基　　金：国家自然科学基金(50506001)

摘　　要：考虑到γ-Reθt转捩模型中间隙因子输运方程并不依赖于具体的湍流模型,因而提出了耦合S-A湍流模型和间歇因子输运方程的转捩流模拟方法.其主要思想是构造与间歇因子相关的两个耦合函数,分别作用到S-A模型的生成项和耗散项用以控制湍流的产生与发展,从而实现层流到湍流的数值转捩.结果表明:该方法中模型方程具有完全当地性的特点,易于实施,可直接用以求解三维转捩流动.4个典型算例表明该方法模拟结果与γ-Reθt模型准确度相当,但少求解了两个输运方程,计算耗时减少了15%.Abstract. Considering the intermittency transport equation in γ-Reθt model independent of a specified turbulence model, a numerical simulation method for transitional flow by cou- pling the S-A turbulence model with intermittency transport equation was proposed. To con- trol the generation and development of turbulence, two coupled functions related to the in- termittency were applied on the production and destruction terms of S-A model respectively. As the model equations are local type, they can be easily implemented into an existent CFD code and 3-D transitional flows can also be solved directly. Four typical test cases indicate that the presented model has the equal accuracy as γ-Reθt, model. And due to pruning of twoequations, the current model can decrease 15% time cost.

关 键 词：湍流模型 间歇因子 层流 湍流 转捩模型 

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]