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论文:2012,Vol:30,Issue(6):820-824 |
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引用本文: |
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杨永, 张强. 基于SA模型的两种曲率修正方法的应用及验证[J]. 西北工业大学 |
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Yang Yong, Zhang Qiang. Implementing and Verifying Two Rotation/Curvature Correction Methods for Spalart-Allmaras Turbulence Model[J]. Northwestern polytechnical university |
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基于SA模型的两种曲率修正方法的应用及验证 |
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杨永, 张强 |
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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 |
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。 |
关键词:
SA模型
曲率修正
RANS
逆压梯度
雷诺应力
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Implementing and Verifying Two Rotation/Curvature Correction Methods for Spalart-Allmaras Turbulence Model |
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Yang Yong, Zhang Qiang |
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National Key Laboratory of Science and Techniques on Aerodynamic Design and Research, Northwestern Polytechnical University, Xi'an 710072, China |
Abstract: |
Aim. Two rotation-curvature correction methods are implemented to the one-equation Spalart-Allmarasturbulence model: one is proposed by Spalart and Shur (denoted as SARC),and the other is proposed by Dacles(denoted as SAR). Sections 1 through 4 of the full paper explain and evaluate our implementation and verificationas mentioned in the title; we believe that they bring useful results. Their core consists of: (1) the SARC and SARmodels are verified for two turbulent flows; one is the flow over the mild curvature curved wall and the other is theflow 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 termsof accuracy,the SARC or SAR model significantly improves the original SA model; (4) SARC model involves theLagrangian derivatives of the strain tensor and is much more difficult for using in three-dimensional and time accu-rate turbulent flow than SAR model; (5) the improvements in accuracy of SARC and SAR may be highly dependenton the rotation-curvature model constants,such as c r3 for SARC and c rot for SAR. |
Key words:
computer simulation
Navier Stokes equations
pressure distribution
Reynolds number
strain
ten-sors
three dimensional
turbulence models;correction
curvature
improvement
Lagrangian deriva-tives
rotation
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收稿日期: 2011-12-01
修回日期:
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DOI: |
基金项目: 国家自然科学基金(11002117)资助 |
通讯作者:
Email: |
作者简介: 杨永(1962-),西北工业大学教授、博士,主要从事理论与计算流体力学研究
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杨永 在本刊中的所有文章 |
张强 在本刊中的所有文章 |
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参考文献: |
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[1] Spalart P R,Allmaras S R.A One-Equation Turbulence Model for Aerodynamic Flows.Recherche Aerospatiale, 1994, 1(1):5-21 [2] Spalart P R,Shur M.On the Sensitization of Turbulence Models to Rotation and Curvature.Aerospace Science and Technology,1997, 1(5): 297-302 [3] Shur M,Strelets M,Travin A,Spalart P R.Turbulence Modeling in Rotating and Curved Channels: Assessing the Spalart-ShurCorrection.AIAA Journal, 2000, 38(5): 784-792 [4] Dacles M J,Zilliac G G,Chow J S,Bradshaw P.Numerical/Experimental Study of a Wingtip Vortex in the Near Field.AIAAJournal, 1995, 33(9): 1561-1568 [5] Pavel E S,Menter F R.Sensitization of the SST Turbulence Model to Rotation and Curvature by Applying the Spalart-Shur Cor-rection Term.Journal of Turbomachinery, 2009, 131(4): 1-8 [6] 张 强, 杨 永.迎风格式的低速预处理及远场边界影响研究.西北工业大学学报, 2012, 30(3):412-416Zhang Qiang,Yang Yong.A Better Preconditioning Method of Low Mach Number Flow with Effects of Far-Field Boundary Con-ditions Considered.Journal of Northwestern Polytechnical University, 2012, 30(3): 412-416 (in Chinese) [7] So RMC,Mellor GL.Experiment on Convex Curvature Effects in Turbulent Boundary Layers.Journal of Fluid Mechanics,1973, 60(1): 43-62 [8] Monson D J,Seegmiller H L.An Experimental Investigation of Subsonic Flow in a Two-Dimensional U-Duct.NASA TM103931, 1992 |
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相关文献: |
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1.张强, 杨永.Spalart的曲率修正方法在SST k-ω模型中的应用[J]. 西北工业大学, 2013,31(3): 392-396 |
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