Large eddy simulation of aircraft wake vortex with self-adaptive grid method

doi:10.1007/s10483-016-2132-9

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (10): 1289-1304.doi: https://doi.org/10.1007/s10483-016-2132-9

Large eddy simulation of aircraft wake vortex with self-adaptive grid method

Mengda LIN, Guixiang CUI, Zhaoshun ZHANG

Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing 100010, China

收稿日期:2016-01-04 修回日期:2016-04-11 出版日期:2016-10-01 发布日期:2016-10-01
通讯作者: Guixiang CUI E-mail:cgx@tsinghua.edu.cn
基金资助:
Project supported by the Boeing-COMAC Aviation Energy Conservation and Emissions Reduction Technology Center (AECER)

Large eddy simulation of aircraft wake vortex with self-adaptive grid method

Mengda LIN, Guixiang CUI, Zhaoshun ZHANG

Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing 100010, China

Received:2016-01-04 Revised:2016-04-11 Online:2016-10-01 Published:2016-10-01
Supported by:
Project supported by the Boeing-COMAC Aviation Energy Conservation and Emissions Reduction Technology Center (AECER)

摘要/Abstract

摘要：

A self-adaptive-grid method is applied to numerical simulation of the evolution of aircraft wake vortex with the large eddy simulation (LES). The Idaho Falls (IDF) measurement of run 9 case is simulated numerically and compared with that of the field experimental data. The comparison shows that the method is reliable in the complex atmospheric environment with crosswind and ground effect. In addition, six cases with different ambient atmospheric turbulences and Brunt Väisälä (BV) frequencies are computed with the LES. The main characteristics of vortex are appropriately simulated by the current method. The onset time of rapid decay and the descending of vortices are in agreement with the previous measurements and the numerical prediction. Also, secondary structures such as baroclinic vorticity and helical structures are also simulated. Only approximately 6 million grid points are needed in computation with the present method, while the number can be as large as 34 million when using a uniform mesh with the same core resolution. The self-adaptive-grid method is proved to be practical in the numerical research of aircraft wake vortex.

关键词: large eddy simulation (LES), self-adaptive grid, aircraft wake vortex

Abstract:

Key words: self-adaptive grid, large eddy simulation (LES), aircraft wake vortex

中图分类号:

76M25

Mengda LIN, Guixiang CUI, Zhaoshun ZHANG. Large eddy simulation of aircraft wake vortex with self-adaptive grid method[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(10): 1289-1304.

参考文献

[1] Robins, R. E. and Delisi, D. P. Numerical study of vertical shear and stratification effects on the evolution of a vortex pair. AIAA Journal, 28, 661-669(1990)
[2] Proctor, F. H. The Terminal Area Simulation System Volume I:Theoretical Formulation, NASA CR-4046, NASA, Washington, D.C. (1987)
[3] Proctor, F. H. Numerical simulation of wake vortices measured during the Idaho Falls and memphis field programs. The 14th AIAA Applied Aerodynamics Conference, American Institute of Aeronautics and Astronautics, New Orleans (1996)
[4] Proctor, F. H., Hinton, D. A., Han, J., Schowalter, D. G., and Lin, Y. L. Two dimensional wake vortex simulations in the atmosphere:preliminary sensitivity studies. 35th Aerospace Sciences Meeting and Exhibit, American Institute of Aeronautics and Astronautics, Reno (1997)
[5] Crow, S. C. Stability theory for a pair of trailing vortices. AIAA Journal, 8, 2172-2179(1970)
[6] Shen, S., Ding, F., Han, J., Lin, Y. L., Arya, S. P., and Proctor, F. H. Numerical modeling studies of wake vortices:real case simulations. The 37th Aerospace Sciences Meeting and Exhibit, American Institute of Aeronautics and Astronautics, Reno (1999)
[7] Proctor, F. H. and Switzer, G. F. Numerical simulation of aircraft trailing vortices. The 9th Conference on Aviation, Range and Aerospace Meteorology, 470, 44-51(2000)
[8] Holzäpfel, F. and Gerz, T. Two-dimensional wake vortex physics in the stably stratified atmosphere. Aerospace Science and Technology, 3, 261-270(1999)
[9] Holzäpfel, F. and Steen, M. Aircraft wake-vortex evolution in ground proximity:analysis and parameterization. AIAA Journal, 45, 218-227(2007)
[10] Holzäpfel, F. Probabilistic two-phase wake vortex decay and transport model. Journal of Aircraft, 40, 323-331(2003)
[11] Holzäpfel, F., Gerz, T., and Baumann, R. The turbulent decay of trailing vortex pairs in stably stratified environments. Aerospace Science and Technology, 5, 95-108(2001)
[12] Holzäpfel, F., Gerz, T., Frech, M., and Dörnbrack, A. Wake vortices in convective boundary layer and their influence on following aircraft. Journal of Aircraft, 37, 1001-1007(2000)
[13] Hennemann, I. and Holzäpfel, F. Large-eddy simulation of aircraft wake vortex deformation and topology. Journal of Aerospace Engineering, Proceedings of the Institution of Mechanical Engineers, 225, 1336-1349(2011)
[14] Misaka, T., Holzäpfel, F., Hennemann, I., Gerz, T., Manhart, M., and Schwertfirm, F. Vortex bursting and tracer transport of a counter-rotating vortex pair. Physics of Fluids (1994-present), 24, 025104(2012)
[15] Shi, R. F., Cui, G. X., and Wang, Z. S. Large eddy simulation of wind field and plume dispersion in building array. Atmospheric Environment, 42, 1083-1097(2008)
[16] Liu, Y. S., Cui, G. X., Wang, Z. S., and Zhang, Z. S. Large eddy simulation of wind field and pollutant dispersion in downtown Macao. Atmospheric Environment, 45, 2849-2859(2011)
[17] Xu, L., Cui, G., Xu, C., Wang, Z., Zhang, Z. S., and Chen, N. X. High accurate finite volume method for large eddy simulation of complex turbulent flows. International Journal of Turbo and Jet Engines, 23, 23191-210(2006)
[18] Meneveau, C., Lund, T. S., and Cabot, W. H. A Lagrangian dynamic subgrid-scale model of turbulence. Journal of Fluid Mechanics, 319, 353-385(1996)
[19] Gnoffo, P. A. A finite-volume, adaptive grid algorithm applied to planetary entry flowfields. AIAA Journal, 21, 1249-1254(1983)
[20] Nakahashi, K. and Deiwert, G. S. Self-adaptive-grid method with application to airfoil flow. AIAA Journal, 25, 513-520(1987)
[21] Burnham, D. C. and Hallock, J. N. Chicago Monostatic Acoustic Vortex Sensing System, Volume IV:Wake Vortex Decay, Department of Transportation, Rep. No. DOT/FAA/RD-79-103 IV (1982)
[22] Rogallo, R. S. Numerical Experiments in Homogeneous Turbulence, NASA Tech. Mem. 81315, Washington, D. C. (1981)
[23] Bechara, W., Bailly, C., Lafon, P., and Candel, S. M. Stochastic approach to noise modeling for free turbulent flows. AIAA Journal, 32, 455-463(1994)
[24] Wyngaard, J. C. Turbulence in the Atmosphere, Vol. 774, Cambridge University Press, Cambridge (1980)
[25] Garodz, L. J. and Clawson, K. L. Vortex Wake Characteristics of B757-200 and B767-200 Aircraft Using the Tower Fly-By Technique, Vols.1 and 2, NOAA Tech. Memo. ERL ARL-199, Washington, D. C. (1993)
[26] Jeong, J. and Hussain, F. On the identification of a vortex. Journal of Fluid Mechanics, 285, 69-94(1995)
[27] Robins, R. E., Delisi, D. P., and Greene, G. C. Algorithm for prediction of trailing vortex evolution. Journal of Aircraft, 38, 911-917(2001)
[28] Sarpkaya, T. New model for vortex decay in the atmosphere. Journal of Aircraft, 37, 53-61(2000)
[29] Moet, H., Laporte, F., Chevalier, G., and Poinsot, T. Wave propagation in vortices and vortex bursting. Physics of Fluids (1994-present), 17, 054109(2005)

Large eddy simulation of aircraft wake vortex with self-adaptive grid method

Large eddy simulation of aircraft wake vortex with self-adaptive grid method

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