基于SA模型的两种曲率修正方法的应用及验证  

Implementing and Verifying Two Rotation/Curvature Correction Methods for Spalart-Allmaras Turbulence Model

作　　者：杨永[1] 张强[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》2012年第6期820-824,共5页Journal of Northwestern Polytechnical University

基　　金：国家自然科学基金(11002117)资助

摘　　要：分别应用Spalart和Dacles的曲率修正方法,基于结构化网格上的RANS求解器,加入了SARC和SAR模型,然后数值模拟了具有轻微曲率效应的零逆压梯度弯曲壁面和具有强曲率效应的180°U形弯管流动。基于SA模型的两种曲率修正方法的数值模拟结果表明:通过修改SA模型控制方程的部分源项,考虑曲率效应后的SARC和SAR模型的计算结果相当,都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SA模型更加准确的数值模拟结果,更适于处理带有流线弯曲的流动问题。SARC模型部分结果要优于SAR模型,但SARC模型的计算量较大,需要更多的计算机资源;SAR模型增加的计算量有限,更易推广应用到三维或者非定常问题,但针对不同的问题,需调整模型中的曲率修正常数。Aim. Two rotation-curvature correction methods are implemented to the one-equation Spalart-Allmaras turbulence model： one is proposed by Spalart and Shur （denoted as SARC）, and the other is proposed by Dacles （ denoted as SAR）. Sections t through 4 of the full paper explain and evaluate our implementation and verification as mentioned in the title; we believe that they bring useful results. Their core consists of： （1） the SARC and SAR models are verified for 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 ; the numerical results are presented in Figs. 2 through 5 and Figs. 7 through 9 ; （2） numerical predictions of the SARC and SAR models are compared, on the one hand with available experi- mental data and, on the other hand. with the corresponding results of the original standard SA model ; （3） in terms of accuracy, the SARC or SAR model significantly improves the original SA model; （4） SARC model involves the Lagrangian derivatives of the strain tensor and is much more difficult for using in three-dimensional and time accurate turbulent flow than SAR model; （5） the improvements in accuracy of SARC and SAR may be highly dependent on the rotation-curvature model constants, such as % for SARC and crotfor SAR.

关 键 词：SA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]