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关于补充Langtry的转捩模型经验修正式的数值探讨

张晓东 高正红

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. doi: 10.3879/j.issn.1000-0887.2010.05.005
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. doi: 10.3879/j.issn.1000-0887.2010.05.005
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. doi: 10.3879/j.issn.1000-0887.2010.05.005

关于补充Langtry的转捩模型经验修正式的数值探讨

doi: 10.3879/j.issn.1000-0887.2010.05.005
详细信息
    作者简介:

    张晓东(1984- ),男,安徽阜阳人,博士生(联系人.E-mail:zxd.nwpu@gmail.com);高正红(1960- ),女,山东牟平人,教授,博士生导师(Te:l+86-29-88495971;E-mail:zgao@nwpu.edu.cn).

  • 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. doi: 10.1115/1.2184352
    [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. doi: 10.1115/1.2184353
    [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.
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    [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.
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    [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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