Spalart的曲率修正方法在SST k-ω模型中的应用  

Implementation and Verification of Spalart’s Rotation/Curvature Correction Method for SST k-ω Turbulence Model

作　　者：张强[1] 杨永[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：《西北工业大学学报》2013年第3期392-396,共5页Journal of Northwestern Polytechnical University

基　　金：国家自然科学基金(11002117);西北工业大学基础研究基金(JCY2013001)资助

摘　　要：基于Spalart和Shur的曲率修正方法,修改SST k-ω模型的生成源项,给出了一种考虑曲率效应的SSTRC k-ω模型,然后数值模拟了具有轻微曲率效应的弯曲壁面和具有强曲率效应的180°U形弯管流动。数值模拟结果表明:修改后的SSTRC k-ω模型能够正确反映曲率效应所带来的额外雷诺应力,可以给出比原SST k-ω模型更加准确的计算结果,更适用于处理带有流线弯曲的流动问题;并能保证和原SST k-ω模型相当的数值收敛性;SSTRC k-ω模型对计算精度的改进程度严重依赖于曲率修正常数,但对大多数流动问题,采用目前确定的常数,SSTRC k-ω模型都可以给出比较准确合理的结果。Applying Spalart and Shur’s rotation-curvature correction method to the SST k-ω turbulence model,we establish what we call SSTRC k-ω model.The SSTRC model is verified through two turbulent flows： one is the flow over the mild curvature curved wall and the other is the flow in a plane channel with a U-turn.Numerical Predictions of the SSTRC model are compared with available experimental data,on the one hand,and with the corresponding results of the original standard SST model,on the other hand.It is found that in terms of accuracy the SSTRC model is significantly better than the original SST model.The improvements in accuracy of SSTRC might be highly dependent on the rotation-curvature model constants,but,for most cases,setting cr1 = 1,cr2 = 1 and cr3 = 0.6,can give fairly good numerical results for SSTRC model.

关 键 词：SST k-ω模型 曲率修正 RANS 逆压梯度 雷诺应力 

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]