## 留言板

 引用本文: 张晓东, 高正红. 关于补充Langtry的转捩模型经验修正式的数值探讨[J]. 应用数学和力学, 2010, 31(5): 544-552.
ZHANG Xiao-dong, GAO Zheng-hong. Numerical Discuss to Complete Empirical Correlation in Langtry’s Transition Model[J]. Applied Mathematics and Mechanics, 2010, 31(5): 544-552. doi: 10.3879/j.issn.1000-0887.2010.05.005
 Citation: ZHANG Xiao-dong, GAO Zheng-hong. Numerical Discuss to Complete Empirical Correlation in Langtry’s Transition Model[J]. Applied Mathematics and Mechanics, 2010, 31(5): 544-552.

• 中图分类号: O39

## Numerical Discuss to Complete Empirical Correlation in Langtry’s Transition Model

• 摘要: 近年来，基于RANS环境下引入预测转捩过程的模型越来越受到各国学者的关注．Langtry于2006年提出了一种基于当地变量进行转捩判据的模型，但这个转捩模型有两个核心的经验关系式直到2009年才公开．该文在对转捩模型机理进行分析理解的同时，通过对低速平板表面摩擦因数模拟试验的校核，提出了一套基于来流湍流度修正的经验关系式．并针对高超声速转捩问题对转捩动量厚度开始修正式进行了改进，最后通过对低速、跨音速翼型和高Ma双楔平板的计算，证明这一套经验关系式的可靠性与实用性．
•  [1] Van Ingen J L. A Suggested Semi-Empirical Method for the Calculation of the Boundary Layer Transition Region[D]. Technical Report VTH-74,Netheland: Delft University of Technology, 1956:8-26. [2] Menter F R, Langtry R B, Likki S R, et al. A correlation based transition model using local variables part 1: model formulation[J]. Journal of Turbomachinery, 2006, 128(3): 413-422. [3] Langtry R B, Menter F R, Likki S R, et al. A correlation based transition model using local variables part 2: test cases and industrial applications[J]. Journal of Turbomachinery, 2006, 128(3): 423-434. [4] Langtry R B. A Correlation-Based Transition Model Using Local Variables for Unstructured Parallelized CFD Codes[D]. PhD Thesis. Stuttgart, Germany: University Stuttgart, 2006. [5] Langtry R B. Florian R menter. Correlation-based transition modeling for unstructured parallelized computational fluid dynamics codes[J].AIAA Journal, 2009, 47(12):2894-2906. doi: 10.2514/1.42362 [6] 王亮，符松. 一种适用于超音速边界层的湍流转捩模式[J].力学学报， 2009, 41(2):162-168. [7] 许丁，马晖扬.高超声速边界层工程转捩模式研究[J].中国科学院研究生院学报， 2009, 26(1):43-49. [8] Mayle R E. The role of laminar-turbulent transition in gas turbine engines[J]. Journal of Turbomachinery, 1991, 113(4): 509-537. [9] Abu-Ghannam B J, Shaw R. Natural transition of boundary layers-the effects of turbulence, pressure gradient, and flow history[J]. Journal of Mechanical Engineering Science, 1980, 22(5): 213-228. [10] Dhawan D, Narasimha R. Some properties of boundary layer flow during transition from laminar to turbulent motion[J]. Journal of Fluid Mechanics, 1958, 3(4): 418-436. [11] Van Driest E R, Blumer C B. Boundary layer transition: freestream turbulence and pressure gradient effects[J]. AIAA Journal, 1963, 1(6): 1303-1306. doi: 10.2514/3.1784 [12] Wilcox D C. Turbulence Modeling for CFD[M]. Canada: DCW Industries, 1993. [13] Savill A M.Some Recent Progress in the Turbulence Modeling of Bypass Transition[C]So R M C, Speziale C G, Launder B E Eds.Near Wall Turbulent Flows. Amsterdam:Elsevier Science,1993: 829-848. [14] 张晓东，高正红.Langtry转捩模型在航空气动力计算上的研究[C]第十四届全国计算流体力学会议论文集（上）.贵阳: 第十四届全国计算流体力学会议编委会, 2009:118-124. [15] Misaka T, Obavashi S. Application of Local Correlation-Based Transition Model to Flow Around Wings[R]. AIAA Paper 2006-918, 2006. [16] 陈奕. 航空气动计算中的转捩预测方法研究[D].西安:西北工业大学硕士学位论文， 2008. [17] Reshotko E. Is Reθ/Me a Meaningful Transition Criterion?[R]. AIAA Paper 2007-943, 2007. [18] Neuenhahn T， Olivier H. Influence of the Wall Temperature and the Entropy Layer Effects on Double Wedge Shock Boundary Layer Interactions[R]. AIAA Paper 2006-8136, 2006. [19] Reinartz B U, Ballmann J. Numerical Investigation of Wall Temperature and Entropy Layer Effects on Double Wedge Shock /Boundary Layer Interactions[R]. AIAA Paper 2006-8137, 2006.

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##### 出版历程
• 收稿日期:  1900-01-01
• 修回日期:  2010-04-01
• 刊出日期:  2010-05-15

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