Analysis of Acoustic Field of Primary Vortex Pairing in Subsonic Plane Mixing Layers Using Kirchhoff Method

  • FENG Feng ,
  • WANG Qiang
Expand
  • China Academy of Aerospace Aerodynamics, Beijing 100074, China

Received date: 2012-04-16

  Revised date: 2012-05-31

  Online published: 2013-03-29

Supported by

National Natural Science Foundation of China (11102198)

Abstract

In order to expand the calculation and analysis of an acoustic field generated by vortex pairing, the subsonic planar mixing layer vortex pairing is studied with numerical method. Direct numerical simulation (DNS) is employed to extract the acoustic source, the two-dimensional frequency domain and time domain Kirchhoff methods are applied to extrapolate the far-field radiated sound, while the frequency domain method is employed to investigate the sound radiation from the twice vortex pairings. The frequency domain and time domain Kirchhoff methods are different in some degree, but the computation results compared with the DNS show that they reach a similar high order of accuracy. An analysis with frequency domain Kirchhoff method reveals clearly that each acoustic mode of the twice vortex pairings corresponds to the vortex rolls and pairings respectively. Using the frequency domain method's good performance of computation and analysis, this paper further studies the influence of inflow instability waves with different phases on the acoustic field of vortex pairings, and exhibits that the dominant mode plays an important role in the acoustic field.

Cite this article

FENG Feng , WANG Qiang . Analysis of Acoustic Field of Primary Vortex Pairing in Subsonic Plane Mixing Layers Using Kirchhoff Method[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2013 , 34(3) : 464 -473 . DOI: 10.7527/S1000-6893.2013.0082

References

[1] Suzuki T, Lele S K. Acoustic scattering from a mixing layer: role of instability waves. AIAA-1999-228, 1999.

[2] Colonius T, Lele S K, Moin P. Sound generation in a mixing layer. Journal of Fluid Mechanics, 1997, 330: 375-409.

[3] Farassat F, Doty M J, Hunter C A. The acoustic analogy—a powerful tool in aeroacoustics with emphasis on jet noise prediction. AIAA-2004-2872, 2004.

[4] Bogey C, Bailly C, Juvé D. Numerical simulation of sound generated by vortex pairing in a mixing layer. AIAA Journal, 2000, 38(12): 2210-2218.

[5] Cheung L C, Lele S K. Acousitc radiation from subsonic and supersonic mixing layers with nonlinear PSE. AIAA-2004-363, 2004.

[6] Gloerfelt X, Bailly C, Juvé D. Direct computation of the noise radiated by a subsonic cavity flow and application of integral methods. Journal of Sound and Vibration, 2003, 266(1): 119-146.

[7] Lockard D P. An efficient, two-dimensional implementation of the Ffowcs Williams and Hawkings equation. Journal of Sound and Vibration, 2000, 229(4): 897-911.

[8] Guo Y P. Application of the Ffowcs Williams-Hawkings equation to two-dimensional problems. Journal of Fluid Mechanics, 2000, 403: 201-221.

[9] Lyrintzis A S, Pilon A, Meadows K. The use of Kirchhoff's method in jet aeroacoustics. NASA-TM-112990, 1995.

[10] Tam C K W, Webb J C. Dispersion-relation-preserving finite difference schemes for computational acoustics. Journal of Computational Physics, 1993, 107(2): 262-281.

[11] Berland J, Bogey C, Bailly C. Optimized explicit schemes: matching and boundary schemes and 4th-order Runge-Kutta algorithm. AIAA-2004-2814, 2004.

[12] Tam C K W, Dong Z. Radiation and outflow boundary conditions for direct computation of acoustic and flow disturbances in a nonuniform mean flow. Journal of Sound and Vibration, 1996, 4(2): 175-201.

[13] Freund J B, Lele S K, Moin P. Calculation of the radiated sound field using an open Kirchhoff surface. AIAA Journal, 1996, 34(5): 909-916.

[14] Eldredge J D. The acoustics of two-dimensional leapfrogging vortices. AIAA-2005-2954, 2005.

Outlines

/