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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
引用本文:杜磊,宁方飞.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[J].航空动力学报,2015,30(10):2450-2461.
作者姓名:杜磊  宁方飞
作者单位:北京航空航天大学 能源与动力工程学院, 北京 100191
基金项目: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%. 

关 键 词:湍流模型    间歇因子    层流    湍流    转捩模型
收稿时间:2014/3/28 0:00:00

Numerical simulation of transition flows based on S-A turbulence model and intermittency transport equation
DU Lei and NING Fang-fei.Numerical simulation of transition flows based on S-A turbulence model and intermittency transport equation[J].Journal of Aerospace Power,2015,30(10):2450-2461.
Authors:DU Lei and NING Fang-fei
Institution:School of Energy and Power Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
Abstract:Considering the intermittency transport equation in γ-Reθt model independent of a specified turbulence model, a numerical simulation method for transitional flow by coupling the S-A turbulence model with intermittency transport equation was proposed. To control the generation and development of turbulence, two coupled functions related to the intermittency 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 two equations, the current model can decrease 15% time cost. 
Keywords:turbulence model  intermittency  laminar flow  turbulent  transition model
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