全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
航空学报  2014 

新型单方程湍流模型构造及其应用

DOI: 10.7527/S1000-6893.2013.0502, PP. 1804-1814

Keywords: 湍流模型,雷诺应力,vonKá,rmá,n长度尺度,湍流耗散率,Bradshaw假设

Full-Text   Cite this paper   Add to My Lib

Abstract:

为了提高雷诺应力本构关系式对于非平衡湍流的预测精度并且兼顾求解效率,发展了一种基于湍动能k的单方程(KDO)湍流模型。其主要思路为采用平板直接数值模拟(DNS)数据对原始Bradshaw假设进行重新标定,使得当地湍动能和雷诺主应力之比能够根据当地流动条件进行自适应调节;同时,对标准k-ε模型中的湍流耗散率输运方程采用代数形式进行模化,进而形成一种一方程湍流模型。算例结果表明KDO湍流模型对于对数率能够准确反馈,而在带有激波或部件干扰等流动现象的RAE-2822、ONERA-M6和DLR-F6算例中,KDO湍流模型能够准确控制湍动能的增长和衰减,相比于Spalart-Allmaras和Menterk-ω剪切应力输运(SST)模型,KDO湍流模型的计算结果有了较为明显的改善。

References

[1]  Hoyas S, Jiménez J. Scaling of the velocity fluctuations in turbulent channels up to Retau=2003[J]. Physics of Fluids, 2006, 18(011702): 1-4.
[2]  Spalart P R. Strategies for turbulence modelling and simulations[J]. International Journal of Heat and Fluid Flow, 2000, 21(3): 252-263.
[3]  Prandtl L. Bericht uber untersuchungen zur ausgebildeten turbulenz[J]. Zeitschrift Für angewandte Mathematik und Mechanik, 1925, 5(1): 136-139.
[4]  Spalart P, Allmaras S. A one-equation turbulence model for aerodynamic flows[J]. La Recherche Aerospatiale, 1994, 1(2): 5-21.
[5]  Menter F R. Eddy viscosity transport equations and their relation to the k-ε model[J]. Journal of Fluids Engineering, 1997, 119: 876-884.
[6]  Edwards J, Roy C, Blottner F, et al. Development of a one-equation transition/turbulence model[J]. AIAA Journal, 2001, 39(9): 1691-1698.
[7]  Wilcox D. Reassessment of the scale-determining equation for advanced turbulence models[J]. AIAA Journal, 1988, 26(11): 1299-1310.
[8]  Abid R. Evaluation of two-equation turbulence models for predicting transitional flows[J]. International Journal of Engineering Science, 1993, 31(6): 831-840.
[9]  Rotta J. Statistische theorie nicht-homogener turbulenz I and II [J]. Journal of Physics, 1951, 129(6): 547-572.
[10]  Launder B, Sharma B. Application of the energy-dissipation model of turbulence to the calculation of flow near spinning disc[J]. Letter Heat Mass Transfer, 1974(1): 131-138.
[11]  Patel V C, Rodi W, Scheuerer G. Turbulence models for near-wall and low Reynolds number flows-A review[J]. AIAA Journal, 1985, 23(9): 1308-1319.
[12]  Menter F. Improved two-equation k-ω turbulence models for aerodynamic flows, NASA-TM 103975. Washington D.C.: NASA, 1992.
[13]  Bradshaw P, Ferriss D, Atwell N. Calculation of boundary-layer using the turbulent energy equation[J]. Journal of Fluid Mechanics, 1967, 28(3): 593-616.
[14]  Wen X Q, Liu Y W, Fang L, et al. Improving the capability of k-ω SST turbulence model for predicting stall characteristics of airfoil[J]. Journal of Beijing University of Aeronautics and Astronautics, 2013, 31(8): 1127-1132. (in Chinese) 文晓庆, 柳阳威, 方乐, 等. 提高k-ω SST模型对翼型失速特性的模拟能力[J]. 北京航空航天大学学报, 2013, 31(8): 1127-1132.
[15]  Liu J Y. An improved SST turbulence model for hypersonic flows[J]. Acta Aeronautica et Astronautica Snica, 2012, 33(12): 2193-2201. (in Chinese) 刘景源. SST湍流模型在高超声速绕流中的改进[J]. 航空学报, 2012, 33(12): 2193-2201.
[16]  She Z S, Chen X, Wu Y, et al. New perspective in statistical modeling of wall-bounded turbulence[J]. Acta Mechanica Sinica, 2010, 26: 847-861.
[17]  She Z S, Leveque E. Universal scaling laws in fully developed turbulence[J]. Physics Review Letter, 1997, 72(3): 336-339.
[18]  Menter F, Kuntz M, Langtry R. Ten years of industrial experience with the SST turbulence model[J]. Turbulence Heat and Mass Transfer, 2003, 4(1): 625-632.
[19]  Spalart P, Jou W, Strelets M, et al. Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach//Liu C Q, Liu Z N. Advances in DNS/LES, 1st AFOSR International Conference on DNS/LES. Los Angles: Greyden Press, 1997: 137-147.
[20]  Menter F. The scale-adaptive simulation method for unsteady turbulent flow predictions. Part 1: theory and model description[J]. Flow Turbulence Combust, 2010, 85(5): 113-138.
[21]  Wilcox D. Turbulence modeling for CFD[M]. California: DCW Industries, Inc., 1994: 90.
[22]  Xu J L, Yan C. A one-equation scale-adaptive simulation model[J]. Physics of Gases, 2010, 5(1): 79-82.(in Chinese) 徐晶磊, 阎超. 一个一方程Scale-Adaptive simulation模型的构造[J]. 气体物理, 2010, 5(1): 79-82.
[23]  Zhang Y, Bai J Q, Hua J, et al. Improvement and assessment of the SST equation based on karman scale and filter method[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(3): 442-446. (in Chinese) 张扬, 白俊强, 华俊, 等.基于卡门尺度和滤波方法的SST方程改进和评估[J]. 力学学报, 2013, 45(3): 442-446.
[24]  Xu J L, Zhang Y, Bai J Q, et al. A transition model based only on turbulence kinetic equation//Hu H Y. Chinese Congress of Theoretical and Applied Mechanics 2013. Xi'an: Chinese Journal of Theoretical and Applied Mechanics, 2013: 142. (in Chinese) 徐晶磊, 张扬, 白俊强, 等.一个方程驱动转捩的湍动能一方程模型//胡海岩. 中国力学大会文集2013. 西安: 中国力学学会, 2013: 142.
[25]  White F. Viscous fluid flow[M]. New York: McGraw-Hill, Inc., 1991: 430.
[26]  Spalding D B. A single formula for the "law of the wall" [J]. Journal of Applied Mechanics, 1961, 28(3): 455.
[27]  Cook P, McDonald M, Firmin M. Aerofoil RAE-2822 pressure distributions, and boundary layer and wake measurements, AR-138, AGARD. : Experimental Data Base for Computer Program Assessment, 1979.
[28]  Schmitt V, Charpin F. Pressure distributions on the ONERA-M6 wing at transonic mach numbers, AR-138, AGARD. : Experimental Data Base for Computer Program Assessment, 1979.
[29]  Laflin R, Klausmeyer M, Zickuhr T, et al. Data summary of data from the second AIAA computational fluid dynamics drag prediction workshop[J]. Journal of Aircraft, 2005, 42(5): 1165-1178.
[30]  Rumsey C L, Rivers S M, Morrison J H, et al. Study of CFD variation on transport configurations for the second drag prediction workshop[J]. Computers and Fluids, 2005, 34(7): 785-816.
[31]  Wang Y T, Wang G X, Zhang Y L. Validation of TRIP 2.0: numerical simulation of DPW II complex configuration[J]. Acta Aeronautica et Astronautica Sinica, 2008, 29(1): 34-40. (in Chinese) 王运涛, 王光学, 张玉伦. TRIP 2.0软件的确认: DPW II复杂组合体的数值模拟[J]. 航空学报, 2008, 29(1): 34-40.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133