Development of Computational Aeroacoustics Equations for Subsonic Flows Using a Mach Number Expansion Approach

Journal of Computational Physics

Volumn 159, Issue 2, 2000, Pages 377-406

  Slimon, Scot A ^a,b   Soteriou, Marios C ^a   Davis, Donald W ^b  

^a UNIVERSITY OF CONNECTICUT   (United States)

^b Electric Boat Corporation   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE PROPAGATION; AERODYNAMICS; COMPUTATIONAL AEROACOUSTICS; EXPANSION; INCOMPRESSIBLE FLOW;

ACOUSTICS WAVES; COMPRESSIBLE FLOW EQUATIONS; CONTINUITY EQUATIONS; EQUATION SETS; HIGHER-ORDER PERTURBATION; INNER REGION; LOW ORDER; MATCHINGS; PERTURBATION EQUATION; RAYLEIGH EXPANSION;

MACH NUMBER;

EID: 0141826079     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6449     Document Type: Article

References (28)

1. M. J. Lighthill, Report on the Final Panel Discussion on Computational Aeroacoustics, ICASE Report 92-53, 1992.
2. D. G. Crighton, Computational aeroacoustics for low mach number flows, Computational Aeroacoustics, edited by J. C. Hardin and M. Y. Hussaini (Springer-Verlag, Berlin/New York, 1993).
3. C. K. Tam, Computational aeroacoustics: Issues and methods, AIAA J. 33, 1788 (1995).
4. D. G. Crighton, Goals for computational aeroacoustics, in Computational Acoustics: Algorithms and Applications, edited by D. Lee, R. L. Sternberg, and M. H. Schultz, Proc. 1st IMACS Symp. on Computational Acoustics (Elsevier, New Haven, CT, 1988), p. 3.
5. M. J. Lighthill, On sound generated aerodynamically. I. General theory, Proc. R. Soc. A211, 564 (1952).
6. H. S. Ribner, Aerodynamic Sound from Fluid Dilatations, UTIA Report 86, AFOSR TN3430, 1962.
7. A. Powell, Theory of vortex sound, J. Acoust. Soc. Am. 36, 177 (1964).
8. M. E. Goldstein, Aeroacoustics (McGraw-Hill, New York, 1976).
9. S. C. Crow, Aerodynamic sound emission as a singular perturbation problem, Stud. Appl. Math. 49, 21 (1970).
10. G. M. Lilley, On Noise from Jets, AGARD, CP-131, 1974.
11. J. R. Ristorcelli, A Closure for the Compressibility of the Source Terms in Lighthill's Acoustic Analogy, ICASE Report 97-44, 1997.
12. J. C. Hardin and D. S. Pope, A New Technique for Aerodynamic Noise Calculation, DGLRR/AIAA Paper 92-02-076, 1992.
13. J. C. Hardin and D. S. Pope, Sound generation by flow over a two-dimensional cavity, AIAA J. 33, 407 (1995).
14. D. J. Lee and S. O. Koo, Numerical study of sound generation due to a spinning vortex pair, AIAA J. 33, 20 (1995).
15. M. Van Dyke, Perturbation Methods in Fluid Mechanics (Parabolic Press, Stanford, CA, 1975).
16. V. R. Lauvstad, On non-uniform Mach number expansion of the Navier Stokes equations and its relation to aerodynamically generated sound, J. Sound Vibration 7, 90 (1968).
17. F. Obermeier, The application of singular perturbation methods to aerodynamic sound generation, singular perturbations and boundary layer theory, in Lecture Notes in Mathematics, Vol. 594, edited by C. M. Brauner, B. Gay, and J. Mathieu (Springer-Verlag, Berlin, 1977), p. 401.
18. S. H. Reitsma, Numerical Simulation of Low Mach Number Fluid-Acoustic Phenomena, Ph.D. thesis, Tufts University, Cambridge, MA, 1994.
19. R. W. MacCormack, A Numerical Method for Solving the Equations of Compressible Viscous Flow, AIAA Paper 81-0110, 1981.
20. J.-P. Berenger, A perfectly matched layer for the absorption of electromagnetic waves, J. Comput. Phys. 114, 185 (1994).
21. F. Q. Hu, On Perfectly Matched Layer as an Absorbing Boundary Condition, AIAA Paper 96-1664, 1996.
22. S. A. Slimon, M. C. Soteriou, and D. W. Davis, Computational aeroacoustics simulations using the expansion about incompressible flow approach, AIAA J. 37 (1999).
23. S. A. Slimon and D. W. Davis, Computational Prediction of Secondary Flows in Complex Piping Systems, Advances in Computational Methods in Fluid Dynamics, ASME Fluids Engineering Division (FED), Vol. 196, 1994.
24. S. A. Slimon, D. W. Davis, S. Levinson, M. Krane, G. Richard, D. Sinder, H. Duncan, Q. Lin, and J. Flanagan, Low Mach Number Flow Through a Constricted Stylized Vocal Tract, AIAA Paper 96-1734, 1996.
25. S. E. Rogers, D. Kwak, and C. Kiris, Steady and unsteady solutions of the incompressible Navier-Stokes equations, AIAA J. 29, 603 (1991).
26. E.-A. Müller and F. Obermeier, The Spinning Vortices as a Source of Sound, AGARD CP-22, 1967, p. 22.1.
27. S. A. Slimon, Aeroacoustic Computation of Subsonic Flows, Ph.D. thesis, University of Connecticut, Storrs, CT, 1999.
28. T. Colonius, S. K. Lele, and P. Moin, Sound generation in a mixing layer, J. Fluid Mech 330, 409 (1997).