An Investigation on Numerical Simulation Method for Aero-Acoustics Based on Acoustics Analogy

Abstract:

A numerical simulation method on noise prediction, which incorporates aerodynamics and sound wave equations based on acoustic analogy, is presented in the paper. Near-field unsteady aerodynamic characteristic can be obtain by large eddy simulation (LES), and far-field propagation of sound waves and spatial sound-field can be obtain by solving the time-domain integral equations of Ffowcs Williams and Hawings (FW-H). Based on the method, a numerical simulation was done on a two-dimension cylinder and a three-dimension flat plate with blunt leading edge. The agreement of numerical results with experiment data validated the Feasibility of the method. The results also indicate that LES can describe vortex generation and shedding in the flow-fields, and FW-H formulation, which has taken time-lag between sound emission and reception times into account, can simulate time-effect of sound propagation toward far-fields.

• Periodical: Applied Mechanics and Materials (Volumes 444-445)
• Pages: 462-467
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.444-445.462
• Online since: October 2013
• Authors: Dang Guo Yang, Yong Hang Wu, Jin Min Liang, Jun Liu
• Keywords: Acoustics Analogy, Aero-Acoustics, Integral Formulation of FW-H, Large Eddy Simulation

References

[1] Galperin, S. A. Orszag, Large eddy simulation of complex engineering and geophysical flows, Cambridge University Press, (1993).

[2] Lillberg E, Fureby C, Large eddy simulations of supersonic cavity flow, AIAA paper, 2000-2411.

DOI: 10.2514/6.2000-2411

[3] Ffowcs Williams, J. E. and Hawkings, D. L., Sound generation by turbulence and surfaces in arbitrary motion, Proc. Roy. Soc. London, A264, pp.321-342, (1969).

[4] F. Felten, Y. Fautrelle, Y. Du Terrail, O. Metais, Numerical modeling of electrognetically-riven turbulent flows using LES methods. Applied Mathematical Modelling, 2004, 28(1): 15-27.

DOI: 10.1016/s0307-904x(03)00116-1

[5] Laetitia Doris, Christian Tenaud, Loc Ta Phuoc, LES of spatially developing 3D compressible mixing layer. Computational Fluid Mechanics, 2000, 328(7): 567-573.

DOI: 10.1016/s1620-7742(00)00020-9

[6] Horng-Wen Wu, Shiang-Wuu Perng, LES analysis of turbulent flow and heat transfer in motored engines with various SGS models. International Journal of Heat and Mass transfer, 2002, 45(11): 2315-2328.

DOI: 10.1016/s0017-9310(01)00325-8

[7] Spalart, P.R., Moser, R.D. and Rogers, M.M., Spectral methods for the Navier-Stokes one infinite and two periodic directions, J. Comp. Physics, 96, 297-324, (1991).

DOI: 10.1016/0021-9991(91)90238-g

[8] Aradag, S. and Knight, D. D., Simulation of supersonic cavity flow using 3D RANS equations, AIAA paper 2004-4966.

DOI: 10.2514/6.2004-4966

[9] Inagaki, M., Kondoh, T. and Nagano, Y., A mixed-time-scale SGS model with fixed model parameters for practical LES, Eng. Turb. Modelling and Expt. 5, Rodi, W. and Fueyo, N., Eds. Elservier, 257-266 (2002).

DOI: 10.1016/b978-008044114-6/50024-7

[10] Kim, S-E., Mathur, S. R., Murthy, J. Y., Choudhury, D., A Reynolds-Averaged Navier-Stokes solver using unstructured mesh based finite-Volume scheme, AIAA paper 1998-0231.

DOI: 10.2514/6.1998-231

[11] Giles, M., Non-reflecting boundary conditions for Euler equation calculation, AIAA Journal. Vol. 42, No. 12, 2050-2058, (1990).

[12] Ffowcs Williams, J. E. and Hawkings, D. L., Sound generation by turbulence and surfaces in arbitrary motion, Proc. Roy. Soc. London, A264: 321-342, (1969).

[13] Casalino, D., An advanced time approach for acoustic analogy predictions, JSV, 261, 583-612, (2003).

DOI: 10.1016/s0022-460x(02)00986-0

[14] Farassat, F. and Succi, G.P., The prediction of helicopter discrete frequency noise, Vertica 7 (4) 309-320, (1983).

[15] FARASSAT F, BRENTNER K S, The acoustic analogy and the prediction of rotating blades, Theoretical and Computational Fluid Dynamics, Springer-Verlag. 1998, (10): 155-170.

DOI: 10.1007/s001620050056

[16] Revell, J. D., Prydz, R. A., and Hays, A. P., Experimental study of airframe noise vs. Drag relationship for circular cylinders, Lockheed Report 28074, Feb. (1997).

DOI: 10.2514/6.1977-1292

[17] Krishnamurty K, Acoustic radiation from two dimensional rectangular cutouts in aerodynamic surfaces, NACA TN-3478, (1955).

[18] Sung-Eun Kim, Yi Dai, Evangelos K. Koutsavdis, A versatile implementation of acoustic analogy based noise prediction method in a general-purpose CFD, AIAA paper, 2003-3202.

DOI: 10.2514/6.2003-3202