Computation of trailing-edge noise due to turbulent flow over an airfoil

AIAA Journal

Volumn 40, Issue 11, 2002, Pages 2206-2216

  Oberai, Assad A ^a,b,c   Roknaldin, Farzam ^a,b   Hughes, Thomas J R ^a,b  

^a STANFORD UNIVERSITY   (United States)

^b Mary and Gordon Crary Family Department of Engineering Division of Mechanics and Computation   (United States)

^c BOSTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; COMPUTER SIMULATION; NAVIER STOKES EQUATIONS; NUMERICAL ANALYSIS; TURBULENT FLOW; VIBRATIONS (MECHANICAL);

TRAILING-EDGE NOISE;

AIRFOILS;

EID: 0036849629     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.1582     Document Type: Article

References (33)

1. Oberai, A.A., Roknaldin, F., and Hughes, T.J.R., "Computational Procedures for Determining Structural Acoustic Response due to Hydrodynamic Sources," Computer Methods in Applied Mechanics and Engineering, Vol. 190, No. 3-4, 2000, pp. 345-361.
2. Lighthill, M.J., "On Sound Generated Aerodynamically I. General Theory," Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, Vol. 211A, No. 1107, 1952, pp. 564-587.
3. Lighthill, M.J., "On Sound Generated Aerodynamically II. Turbulence as a Source of Sound," Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, Vol. 222, No. 1148, 1954, pp. 1-32.
4. Ffowcs Williams, J.E., and Hawkings, D.L., "Sound Generation by Turbulence and Surfaces in Arbitrary Motion," Philosophical Transactions of the Royal Society of London, Series A: Mathematical and Physical Sciences, Vol. 264, No. 1151, 1969, pp. 321-342.
5. Brentner, K.S., and Farassat, F., "Analytical Analysis of the Acoustic Analogy and Kirchhoff Formulation for Moving Surfaces," AIAA Journal, Vol. 36, No. 8, 1998, pp. 1379-1386.
6. Singer, B.A., Brentner, K.S., Lockard, D., and Lilley, G.M., "Simulation of Acoustic Scattering from a Trailing Edge," Journal of Sound and Vibration, Vol. 230, No. 3, 2000, pp. 541-560.
7. Howe, M.S., "Trailing Edge Noise at Low Mach Numbers," Journal of Sound and Vibration, Vol. 225, No. 2, 1998, pp. 211-238.
8. Ffowcs Williams, J.E., and Hall, L.H., "Aerodynamic Sound Generation by Turbulent Flow in the Vicinity of a Scattering Half Plane." Jounal of Fluid Mechanics, Vol. 40, No. 4, 1970, pp. 657-670.
9. Crighton, D.G., and Leppington, F.G., "On the Scattering of Aerodynamic Noise," Journal of Fluid Mechanics, Vol. 46, No. 3, 1971, pp. 577-597.
10. Chase, D.M., "Sound Radiated by Turbulent Flow off a Rigid Half-Plane Obtained from a Wavevector Spectrum of Hydrodynamic Pressure," Journal of the Acoustical Society of America, Vol. 52, No. 3, 1971, pp. 1101-1123.
11. Chandiramni, K.L., "Diffraction of Evanescent Waves, with Applications to Aerodynamically Scattered Sound and Radiation from Unbaffled Plates," Journal of Acoustical Society of America, Vol. 55, No. 1, 1973, pp. 18-29.
12. Howe, M.S., "Edge-Source Acoustic Green's Function for an Airfoil of Arbitrary Chord, with Application to Trailing-Edge Noise," Quarterly Journal of Mechanics and Applied Mathematics, Vol. 54, No. 1, 2001, pp. 139-155.
13. Holmes, B.S., Dias, J.B., Jaroux, B.A., Sassa, T., and Ban, Y., "Predicting the Wind Noise from the Pantograph Cover of a Train," International Journal for Numerical Methods in Fluids, Vol. 24, No. 12, 1997, pp. 1307-1319.
14. Manoha, E., Troff, B., and Sagaut, P., "Trailing-Edge Noise Prediction Using Large-Eddy Simulation and Acoustic Analogy," AIAA Journal, Vol. 38, No. 4, 2000, pp. 575-583.
15. Wang, M., and Moin, P., "Computation of Trailing-Edge Flow and Noise Using Large-Eddy Simulation," AIAA Journal, Vol. 38, No. 12, 2000, pp. 2201-2209.
16. Abramowitz, M., and Stegun, I.A., Handbook of Mathematical Functions, 9th ed., Dover, New York, 1970.
17. Junger, M.C., and Feit, D., Sound, Structures, and Their Interaction, 2nd ed., MIT Press, Cambridge, MA, 1985, pp. 175, 176.
18. Keller, J.B., and Givoli, D., "Exact Non-Reflecting Boundary Conditions," Journal of Computational Physics, Vol. 82, No. 1, 1989, pp. 172-192.
19. Freund, R.W., and Nachtigal, N.M., "QMR: A Quasi-Minimal Residual Method for Non-Hermitian Linear Systems," Numerische Mathematik, Vol. 60, No. 3, 1991, pp. 315-339.
20. Oberai, A.A., Malhotra, M., and Pinsky, P.M., "Implementation of the Dirichlet-to-Neumann Radiation Condition for Iterative Solution of the Helmholtz Equation," Applied Numerical Mathematics, Vol. 27, No. 4, 1998, pp. 443-464.
21. Curle, N., "The Influence of Solid Boundaries on Aerodynamic Sound," Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, Vol. 231, No. 1187, 1955, pp. 505-514.
22. Germano, M., Piomelli, U., Moin, P., and Cabot, W., "A Dynamic Subgrid-Scale Eddy Viscosity Model," Physics of Fluids, Vol. 3, No. 7, 1991, pp. 1760-1765.
23. Jansen, K.E., "Unstructured Grid Large Eddy Simulation of Flow over an Airfoil," TR, Center for Turbulence Research, CTR Annual Research Briefs, Stanford Univ./NASA Ames Research Center, Stanford, CA, 1994.
24. Ghosal, S., Lund, T., Moin, P., and Akselvoll, K., "A Dynamic Localization Model for Large-Eddy Simulation of Turbulent Flows," Journal of Fluid Mechanics, Vol. 286, 1995, pp. 229-255.
25. Lilly, D., "A Proposed Modification of the Germano Subgrid-Scale Closure Method," Physics of Fluids A, Vol. 4, No. 3, 1992, pp. 633-635.
26. Jansen, K.E., "Large-Eddy Simulations of Flow Around a NACA 4412 Airfoil Using Unstructured Grids," TR, Center for Turbulence Research, CTR Annual Research Briefs, Stanford Univ./NASA Ames Research Center, Stanford, CA, 1996.
27. Jansen, K.E., "Large-Eddy Simulation Using Unstructured Grids," Advances in DNS/LES, edited by C. Liu and Z. Liu, Greyden Press, Columbus, OH, 1997, pp. 117-128.
28. Roknaldin, F., "Numerical Solution of Acoustic Response due to Hydro/Aerodynamic Turbulence," Ph.D. Dissertation, Div. of Mechanics and Computation, Stanford Univ., Stanford, CA, 2001.
29. McGhee, R.J., Walker, B.S., and Millard, B.F., "Experimental Results for the Eppler 387 Airfoil at Low Reynolds Numbers in Langley Low-Turbulence Pressure Tunnel," NASA TM 4062, Oct. 1998.
30. Lin, J.C.M., and Pauley, L.L., "Low-Reynolds-Number Separation on an Airfoil," AIAA Journal, Vol. 34, No. 8, 1996, pp. 1570-1577.
31. Chen, H.H., Platzer, M.F., and Cebeci, T., "Analysis of Airfoils at Low Reynolds Numbers," Seventh International Symposium on Unsteady Aerodynamics and Aeroelasticity of Turbomachines, Fukuoka, Japan, Sept. 1994.
32. Cebeci, T., Hefazi, H., Roknaldin, F., and Carr, L.W., "Predicting Stall and Post-Stall Behavior of Airfoils at Low Mach Numbers," AIAA Journal, Vol. 33, No. 4, 1995, pp. 595-602.
33. Cabot, W., "Local Dynamic Subgrid-Scale Models in Channel Flow," TR, Center for Turbulence Research, CTR Annual Research Briefs, Stanford Univ./NASA Ames Research Center, Stanford, CA, 1994.