湍流模型源项的数值处理方法对计算结果的影响研究  

Effects of numerical method of source terms in turbulence models

作　　者：王翔宇[1] 李栋[1] 

机构地区：[1]西北工业大学翼型叶栅空气动力学国防科技重点实验室,陕西西安710072

出　　处：《空气动力学学报》2014年第6期868-873,共6页Acta Aerodynamica Sinica

基　　金：国家自然科学基金(11072200)

摘　　要：涡粘性湍流模型广泛应用于各种工程湍流问题的计算。对于大多数湍流模型,在湍流控制方程的右端会出现源项,其刚性给数值计算带来很大的影响。从源项的物理意义出发分析了源项导致求解困难的原因,并在通用的求解湍流模型方程的点隐法基础上,以源项弱刚性的S-A湍流模型和源项强刚性的k-ωSST湍流模型为例,论述了生成项和耗散项之间的平衡关系对数值模拟的重要意义,给出了针对不同源项的具体处理方法。对RAE2882翼型跨声速流动算例的模拟结果表明,这些处理方法有效的提高了控制方程组的计算稳定性。Eddy viscosity models have been widely used in many engineering applications of turbulence. Usually there are additional source terms on the right side of the turbulent governing equations,which may play an important role in the computation of Navier-Stokes equations.Stiffness that results from source terms is analyzed in details and the significant balance between production term and destruction term is dis-cussed,together with point implicit approach,an universal way to solve equations with source terms.After-wards both S-A turbulence model with weak stiffness and k-ω SST turbulence model with strong one are taken as examples to show the specific treatments concerning about the different source terms between these two.The paper ends with numerical tests of RAE 2822 airfoil transonic flow,which demonstrates that the methods above can overcome the stiffness from the source terms and improve the stability of the computation effectively.

关 键 词：NS 方程 源项 刚性 S-A 湍流模型 k-ω SST 数值模拟 

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]