ACTA AERONAUTICAET ASTRONAUTICA SINICA >
A grid-less time domain method for plate trailing edge noise prediction
Received date: 2014-11-27
Revised date: 2015-01-07
Online published: 2015-01-27
Supported by
National Natural Science Foundation of China (51306006, 51076006);National Basic Research Program of China (2012CB720200)
A grid-less time domain method for predicting trailing edge noise radiated from a two-dimensional flat plate is established in the present study, which is based on the discrete vortex method and vortex sound theory. The trailing edge noise is calculated in a decoupling manner. Firstly, the shear layer shed from the plate trailing edge is simulated through a discrete vortex method, and the key parameters of the vortices are obtained, including the strengths, positions and velocities. Then, a sound radiation model of the vortices in the free space is deduced in the frame of the vortex sound theory. Besides, to account for the influence of the plate surface, a time domain boundary element method is introduced. After that, the sound pressure distribution and the far field directivity radiated from the trailing edge vortices are analyzed. The present results indicate that the vortex clouds rolled up by point vortices are typically dipole sources, and the scattering effect from the plate surface can not only enhance the sound pressure level but also lead the maximum sound pressure to propagate in the vertical direction to the surface. This grid-less model depicted here simulates the flow and sound field simultaneously, which can help to improve the basic understanding on the trailing edge noise radiation and provide a reliable method for noise investigation with engineering importance as well.
HONG Zhiliang , GAO Ge , JING Xiaodong , SUN Xiaofeng . A grid-less time domain method for plate trailing edge noise prediction[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015 , 36(11) : 3501 -3514 . DOI: 10.7527/S1000-6893.2015.0008
[1] Lockard D P, Lilley G M. The airframe noise reduction challenge, NASA/TM-2004-213013[R]. Washington, D.C.:NASA, 2004.
[2] Lighthill M J. On sound generated aerodynamically. I. General theory[J]. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1952, 211(1107):564-587.
[3] Curle N. The influence of solid boundaries upon aerodynamic sound[J]. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1955, 231(1187):505-514.
[4] Lele S K. Computational aeroacoustics:A review, AIAA-1997-0018[R]. Reston:AIAA, 1997.
[5] Moin P, Mahesh K. Direct numerical simulation:A tool in turbulence research[J]. Annual Review of Fluid Mechanics, 1998, 30(1):539-578.
[6] Howe M S. Theory of vortex sound[M]. Cambridge:Cambridge University Press, 2003.
[7] Escobar M. Finite element simulation of flow-induced noise using Lighthill's acoustic analogy[D]. Nuremberg:University of Erlangen-Nuremberg, 2007.
[8] Cheong C, Joseph P, Park Y, et al. Computation of aeolian tone from a circular cylinder using source models[J]. Applied Acoustics, 2008, 69(2):110-126.
[9] Liow Y S K, Tan B T, Thompson M C, et al. Sound generated in laminar flow past a two-dimensional rectangular cylinder[J]. Journal of Sound and Vibration, 2006, 295(1):407-427.
[10] Inoue O, Hatakeyama N. Sound generation by a two-dimensional circular cylinder in a uniform flow[J]. Journal of Fluid Mechanics, 2002, 471:285-314.
[11] Tsutahara M, Kondo T, Mochizuki K. Direct simulations of acoustic waves by finite volume Lattice Boltzmann method, AIAA-2006-2570[R]. Reston:AIAA, 2006.
[12] Le Garrec T, Gloerfelt X, Corre C. Direct noise computation of trailing edge noise at high Reynolds numbers, AIAA-2008-2917[R]. Reston:AIAA, 2008.
[13] Dai X, Jing X, Sun X. Vortex Shedding and its nonlinear acoustic effect occurring at a slit[J]. AIAA Journal, 2011, 49(12):2684-2694.
[14] Jing X, Sun X. Discrete vortex simulation on the acoustic non-linearity of an orifice[J]. AIAA Journal, 2000, 38(9):1565-1572.
[15] Hong Z, Dai X, Zhou N, et al. Suppression of Helmholtz resonance using inside acoustic liner[J]. Journal of Sound and Vibration, 2014, 333(16):3585-3597.
[16] Langthjem M A, Nakano M. A numerical simulation of the hole-tone feedback cycle based on an axisymmetric discrete vortex method and Curle's equation[J]. Journal of Sound and Vibration, 2005, 288(1):133-176.
[17] Guo Y P. Application of the Ffowcs Williams/Hawkings equation to two-dimensional problems[J]. Journal of Fluid Mechanics, 2000, 403:201-221.
[18] Powell A. Theory of vortex sound[J]. The journal of the Acoustical Society of America, 1964, 36(1):177-195.
[19] Howe M S. Trailing edge noise at low Mach numbers[J]. Journal of Sound and Vibration, 1999, 225(2):211-238.
[20] Clements R R. An inviscid model of two-dimensional vortex shedding[J]. Journal of Fluid Mechanics, 1973, 57(02):321-336.
[21] Kiya M, Sasaki K, Arie M. Discrete-vortex simulation of a turbulent separation bubble[J]. Journal of Fluid Mechanics, 1982, 120:219-244.
[22] Jing X, Sun X. Sound-excited flow and acoustic nonlinearity at an orifice[J]. Physics of Fluids (1994-present), 2002, 14(1):268-276.
[23] Mansur W J. A time-stepping technique to solve wave propagation problems using the boundary element method[D]. Southampton:University of Southampton, 1983.
[24] Mitchell B E, Lele S K, Moin P. Direct computation of the sound from a compressible co-rotating vortex pair[J]. Journal of Fluid Mechanics, 1995, 285:181-202.
/
| 〈 |
|
〉 |
CJA