Some recent advances in the use of kirchhoff's method in computational aeroacoustics

American Society of Mechanical Engineers, Noise Control and Acoustics Division (Publication) NCA

Volumn 25, Issue 25, 1998, Pages 453-467

  Lyrintzis, Anastasios S ^a,b  

^a PURDUE UNIVERSITY   (United States)

^b Member ASME   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646826718     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (101)

1. Ahmad, J., U., Duque, E. P. N., and Strawn R. C., 1996, "Computations of Rotorcraft Aeroacoustics with a Navier Stokes/Kirchhoff Method," paper 51, 22nd European Rotorcraft Forum, Brighton, UK, Sept. 1996.
2. Algermissen G., and Wagner S., "Computation of Helicopter High-Speed Impulsive Noise by an Enhanced
3. Kirchhoff Method," presented at the AHS Technical Specialists' Meeting for Rotorcraft Acoustics and Aerodynamics," Williamsburg, VA, Oct. 1997.
4. Amiet, R. K., 1978, "Refraction of Sound by a Shear Layer," Journal of Sound and Vibration, Vol. 58, No. 4, pp. 467-482.
5. Atassi, H. M., Subramaniam, S., and Scott, J. R., 1990, "Acoustic Radiation from Lifting Airfoils in Compressible Subsonic Flow," NASA Technical Memorandum 103650; also AIAA paper 90-3911, Oct. 1990.
6. Atassi, H. M., Dusey, M., and Davis, C. M., 1993, "Acoustic Radiation from a Thin Airfoil in Nonuniform Subsonic Flows," AIAA Journal, Vol. 31, No. 1, Jan. 1993, pp. 12-19.
7. Baeder, J. D., Gallman, J. M., and Yung, Y., 1997, "A Computational study of the Aeroacoustics of Rotor in Hover," Journal of the American Helicopter Society, Vol. 42, No. 1, Jan. 1997, pp. 39-53.
8. Berezin, C., Pollack, M., Visintainer, J., Lyrintzis, A., and Koutsavdis, E., "Development and Practical Application of the Rotating Kirchhoff Method for the Prediction of HSI and BVI Noise," presented at the AHS Technical Specialists' Meeting for Rotorcraft Acoustics and Aerodynamics," Williamsburg, VA, Oct. 1997.
9. Brentner, K. S., "Prediction of Helicopter Rotor Discrete Frequency Noise," NASA Technical Memorandum 87721, Oct. 1986.
10. Brentner, K. S., 1997, "An Efficient and Robust Method for Predicting Rotor High-Speed Impulsive Noise," Journal of Sound and Vibration, Vol. 203 (1), 1997, pp. 87-100.
11. Brentner, K. S., and Holland, P. C., 1997, "An Efficient and Robust Method for Computing Quadrupole Noise," Journal of the American Helicopter Society, Vol. 42, No. 2. Apr. 1997, pp. 172-181.
12. rd Annual Forum, Virginia Beach, VA, Apr.-May 1997, Vol. 1, pp. 687-696.
13. Brentner, K. S., Lyrintzis, A. S., and Koutsavdis, E K., 1997, "A Comparison of Computational Aeroacoustic Prediction Methods for Transonic Rotor Noise," AIAA Journal of Aircraft, Vol. 34, No. 4, Jul.-Aug. 1997, pp. 531-538.
14. Caradonna, F. X., Strawn, R. C., and Bridgeman, J. O., "An Experimental and Computational Study of Blade-Vortex Interactions" Vertica, Vol. 12, No. 4, 1988, pp. 315-327.
15. Chyczewski, T. S. and Long, L. N., 1996, "Numerical Prediction of the Noise Produced by a Perfectly Expanded Rectangular Jet," AIAA Paper 96-1730, 2nd AIAA/CEAS Aeroacoustics Conference, May 6-8,
16. 1996, State College, PA.
17. Crighton, D. G., Dowling, A. P., Ffowcs Williams, J. E., Heckl, M., and Leppington, F. G., Modern Methods in Analytical Acoustics: Lecture Notes, Springer-Verlag, London, 1992.
18. Davis, C. M., and Atassi, H. M., 1991, "The Far-Field Acoustic Pressure of an Airfoil in Nonuniform Subsonic Flows," presented at the Symposium of Flow Noise Modeling, Measurement and Control, NCA-Vol. 11/FED-Vol. 130, pp. 107-117, ASME Winter Annual Meeting, Atlanta, GA, Dec.
19. Fang J., and Atassi, H., M., 1993, "Direct Calculation of Sound Radiated from a Loaded Cascade in a Gust," in Computational Aero- and Hydro-Acoustics, FED Vol. 147, eds: Mankbadi, R., R., Lyrintzis, A. S., Baysal, O., Povinelli, L. A., and Hussaini, M. Y., pp. 111-116, ASME Fluids Engineering Conference, Washington, DC, June.
20. Farassat, F., and Myers, M. K., 1988, "Extension of Kirchhoff's Formula to Radiation from Moving Surfaces," Journal of Sound and Vibration, Vol. 123, No. 3, pp. 451-461.
21. Farassat F. and Myers M. K., 1995, "The Kirchhoff formula for a Supersonically Moving Surface," CEAS/AIAA paper 95-062 Proceedings of the 1st Joint CEAS/AIAA Aeroacoustics Conference (16th AIAA Aeroacoustics Conference), Munich Germany, June 1995, Vol. I, pp. 455-463.
22. Ffowcs Williams, J. E., and Hawkings, D. L., 1969, "Sound Generation by Turbulence and Surfaces in Arbitrary Motion," Philosophical Transactions of the Royal Society of London, Vol. 264A, May 1969, pp. 321-342.
23. Forsyth, D. W., and Korkan, K. D., 1987, "Computational Aeroacoustics of Propeller Noise in the Near- and the Far-field," AIAA paper 87-0254, AIAA 25th Aerospace Science Meeting, Reno, NV Jan. 1987.
24. Di Francescantonio, P., "A New Boundary Integral Formulation for the Prediction of Sound Radiation," Journal of Sound and Vibration Vol. 202, No. 4, 1997, pp. 491-509.
25. Freund, J. B., Lele S. K., and Moin P., 1996, "Calculation of the the Radiated Sound Field Using an Open Kirchhoff Surface," AIAA Journal, Vol. 34, No. 5, May 1996, pp. 909-916.
26. Hardin, J., and Hussaini M. Y., 1993, Computational Aeroacoustics, Springer-Verlag, New York, 1993.
27. Hariharan, S. I., Stenger, E. J., Scott, J. R., 1995 "Potential Theoretic Methods for Far-Field Sound Radiation Calculations," NASA Technical Memorandum 107118, ICOMP-95-25, Dec. 1995.
28. Hawkings, D. L., 1979, "Noise Generation by Transonic Open Rotors," Westland Research Paper 599.
29. George, A. R., and Lyrintzis, A. S., 1986, "Mid-Field and Far-Field Calculations of Transonic Blade-Vortex Interactions," AIAA paper 86-1854, AIAA 10th Aeroacoustics Conference, Seattle, WA, July 9-11, 1986.
30. George, A. R., and Lyrintzis, A. S., 1988, "Acoustics of Transonic Blade-Vortex Interactions," AIAA Journal, Vol. 26, No. 7, Jul. 1988, pp. 769-776.
31. Isom, M. P., Purcell, T. W., and Strawn, R. C., 1987, "Geometrical Acoustics and Transonic Sound," AIAA paper 87-2748, AIAA 11th Aeroacoustics Conference, Sunnyvale, CA. 1987.
32. Jaeger, S., and Korkan, K. D., 1990, "On the Prediction of Far-Field Computational Aeroacoustics of Advanced Propellers," AIAA paper 90-3996, AIAA 13th Aeroacoustics Conference, Oct. 1990.
33. Kirchhoff, G. R. "Zur Theorie der Lichtstrahlen," Annalen der Physik und Chemie, Vol. 18, 1883, pp. 663-695.
34. Khavaran, A., Krejsa, E. A., 1994, "Refraction of High Frequency Jet Noise in an Arbitrary Jet Flow," AIAA Paper No. 94-0139, Jan. 1994.
35. Koutsavdis, E. K., and Lyrintzis, A. S., 1997, "An Investigation of Kirchhoff's Methodologies for Computational Aeroacoustics," Kirchhoff's Methodology to Supersonically Moving Surfaces," AIAA paper No. 97-0487, presented at the 35th AIAA Aerospace Sciences Meeting, Reno, NV, Jan. 1997.
36. Kuntz, M., Lohmann D., Pahlke, K., 1995, "Comparisons of Rotor Noise Predictions at DLR Obtained by a Lifting Surface Method and Euler Solutions Using Kirchhoff Equation," CEAS/AIAA paper 95-136 Proceedings of the 1st Joint CEAS/AIAA Aeroacoustics Conference (16th AIAA Aeroacoustics Conference), Munich Germany, June 1995, Vol. II, pp. 949-962.
37. Kuntz, M. 1996, "Rotor Noise Predictions in Hover and Forward Flight Using Different Aeroacoustic Methods," AIAA paper No. 96-1695, presented at the 2nd AIAA/CEAS Aeroacoustics Meeting, (17th AIAA Aeroacoustics Meeting) State College, PA, May 1996.
38. Lighthill, M. J., 1952, "On the Sound Generated Aerodynamically, Part I, General Theory," Proc. R. Soc. London A 211, pp. 567-587.
39. Lighthill, M. J., 1992, "A General Introduction to Aeroacoustics and Atmospheric Sound," ICASE Report 92-52, NASA Langley Research Center, Hampton, VA 1992.
40. Lilley, G. M., 1974, "On the Noise from Jets: Noise Mechanisms," AGARD-CP-131, March 1974, 13.1-13.12.
41. Lim, T. B., Sankar, L. N., Hariharan, N., and Reddy, N. N., 1993, "A Technique for the Prediction of Propeller Induced Acoustic Loads on Aircraft Structures," AIAA-93-4340, 15th AIAA Aeroacoustics Conference, Long Beach CA.
42. Lyrintzis, A. S., and George, A. R., 1989, "Far-Field Noise of Transonic Blade-Vortex Interactions," American Helicopter Society Journal, Vol. 34, No. 3, July 1989, pp. 30-39.
43. Lyrintzis, A. S., and Xue, Y., 1991, "A Study of the Noise Mechanisms of Transonic Blade-Vortex Interactions," AIAA Journal, Vol. 29, No. 10, Oct. 1991, pp. 1562-1572.
44. Lyrintzis, A. S., Lee, J., and Xue, Y., 1992, "Mechanisms and Directivity of Unsteady Transonic Flow Noise" presented at the International Symposium on Flow Induced Vibration and Noise III, Vol. 3: Flow-Structure and Flow-Sound Interactions, eds. Farabee, T. M., Paidoussis, M. P., pp. 85-113, ASME Winter Annual Meeting, Anaheim, CA Nov. also ASME Journal of Fluids Engineering Vol. 116, No. 3, Sept. 1994, pp. 649-652.
45. Lyrintzis, A. S., 1994a, "The Use of Kirchhoff's Method in Rotorcraft Aeroacoustics," Paper No. 34, presented at the 75th AGARD Fluid Dynamics Panel Meeting and Symposium on Aerodynamics and Aeroacoustics of Rotorcraft, Berlin, Germany, Oct. 1994; AGARD Conference Proceedings, No. 552, Aug. 1995, pp. 34-1 - 34-16.
46. Lyrintzis, A. S., 1994b, "Review: The Use of Kirchhoff Method in Aeroacoustics," ASME Journal of Fluids Engineering Vol. 116, No. 4, Dec. 1994, pp. 665-676.
47. Lyrintzis, A. S., Xue, Y., and Kilaras, M. S., 1994a, "The Use of a Rotating Kirchhoff Formulation for High-Speed Impulsive Noise," AIAA Paper 94-0463, presented at the 32nd AIAA Aerospace Sciences Conference, Reno, NV, Jan. 1994.
48. Lyrintzis, A. S., Kilaras, M. S., and Xue, Y., 1994b, "Transonic 3-D BVI Noise Using a Rotating Kirchhoff Formulation for Advancing Rotors," Proceedings of the 50th AHS Annual Forum, Washington, DC, May 1994, Vol. I, pp. 115-127.
49. Lyrintzis, A. S., Mankbadi, R. R., 1995, "On the Prediction of the Far-Field Jet Noise Using the Kirchhoff Method," AIAA Paper 95-0508, presented at the 33nd AIAA Aerospace Sciences Conference, Reno, NV, Jan. 1995; also AIAA Journal, Vol. 34, Feb.
50. 1996. pp. 413-416.
51. Lyrintzis, A. S., Koutsavdis, E. K., and Strawn R. C., 1995, "A Comparison of Computational Aeroacoustic Prediction Methods," Proceedings of the 2nd AHS International Aeromechanics Specialists' Conference, Vol. I, Bridgeport, CT, Oct. 1995, pp. 3-58 - 3-69; also American Helicopter Society Journal, Vol. 42, No. 1, Jan. 1997 pp. 54-57.
52. Lyrintzis, A. S., and Koutsavdis, E. K., 1996, "Rotorcraft Impulsive Noise Prediction Using a Rotating Kirchhoff Formulation," AIAA Journal of Aircraft Vol. 33, No. 6, Nov.-Dec. 1996, pp. 1054-1061.
53. Lyrintzis, A. S., and Xue, Y., 1997, "Towards a Versatile Kirchhoff's Method Code," AIAA Journal, vol. 35, No. 1, Jan. 1997, pp. 198-200.
54. Lyrintzis, A. S. Koutsavdis, E. K., and Pilon, A. R., 1997. "An extended Kirchhoff Method for Rotorcraft Impulsive Noise," presented at the AHS Technical Specialists' Meeting for Rotorcraft Acoustics and Aerodynamics," Williamsburg, VA, Oct. 1997.
55. Lyrintzis, A. S., Koutsavdis, E. K., Berezin C., Visintainer J. and Pollack, M., 1998, "An Evaluation of a Rotational Kirchhoff Methodology," Journal of the American Helicopter Society, Vol. 43, No; 1, Jan. 1998. pp. 48-57.
56. Mankbadi, R. R., Hayder, M. E., Povinelli, L. A., 1994, "The Structure of Supersonic Jet Flow and Its Radiated Sound," AIAA Journal, 32, 1994, pp. 897-906.
57. Mankbadi, R. R., Shih, S. H., Hixon, R., Stuart, J. T., and Povinelli, L. A., 1996, "Extension of Near Field to Far Field Noise Prediction," AIAA paper 96-2651, 32 Joint Propulsion Conference Lake Bueva Vista, FL, July 1996.
58. Meadows, K. R. and Atkins, H. R., 1996, "Towards a Highly Accurate Implementation of the Kirchhoff Approach for Computational Aeroacoustics," IMACS Journal of Computational Acoustics, Vol. 4, No. 2, (1996), pp. 225-241.
59. Mitchell, B. E., Lele, S. K., and Moin, P., 1995, "Direct Computation of the Sound Generated by Vortex Pairing in an Axisymmetric Jet," presented at the 33nd AIAA Aerospace Sciences Conference, Reno, NV, Jan. 1995.
60. Morino, L., 1973, "Unsteady Compressible Potential Flow Around Lifting Bodies: General Theory," AIAA paper No. 73-196.
61. Morino, L., 1974, "A General Theory of Unsteady Compressible Potential Aerodynamics," NASA Contractor Report CR-2464, December 1974.
62. Morino, L., 1985, "Mathematical Foundations of Integral Methods," in Computational Methods in Potential Aerodynamics, editor Morino, L., Springer-Verlag, New York, pp. 271-291.
63. Morino, L., Freedman, M. L, Deutsch, D. J., and Sipcic, S. R., 1985, "An Integral Equation Method for Compressible Potential Flows in an Arbitrary Frame of Reference, in Computational Methods in Potential Aerodynamics, Ed. L. Morino, Computational Mechanics Publications, Southampton, UK.
64. Morino, L., Bharadvaj, B. K., Freedman, M. I., and Tseng, K., 1988, "BEM For Wave Equation With Boundary in Arbitrary Motion And Applications to Compressible Potential Aerodynamics of Aeroplanes and Helicopters" in Advanced Boundary Element Methods, Ed. T. A. Cruse, Springer-Verlag, New York.
65. Morino, L., and Tseng, K., 1990, "A General Theory of Unsteady Compressible Potential Flows with Applications to Airplanes and Rotors" in Developments in Boundary Element Methods, Vol. 6, Banerjee, P. K., and Morino L. eds, Eisevier Applied Science Publisher, Barking, UK, pp. 183-245.
66. Myers, M. K., and Hausmann, J. S., 1990, "On the Application of the Kirchhoff Formula for Moving Surfaces," Journal of Sound and Vibration, Vol. 139, 1990, pp. 174-178.
67. Ozyoruk, Y., and Long, L. N., 1994, "A Navier-Stokes/Kirchhoff Method for Noise Radiation from Ducted Fans," AIAA paper 94-0462, AIAA 32nd Aerospace Science Meeting, Reno, NV.
68. Ozyoruk, Y., and Long, L. N., 1995, "Computation of Sound Radiating from Engine Inlets," CEAS/AIAA paper 95-063 Proceedings of the 1st Joint CEAS/AIAA Aeroacoustics Conference (16th AIAA Aeroacoustics Conference), Munich Germany, June 1995; also AIAA Journal Vol. 34, No. 5, May 1996, pp. 894-901.
69. Patrick, S. M., Davis, C. M., and Atassi H., 1993, "Acoustic Radiation from a Lifting Airfoil in Nonuniform Subsonic Flows" in Computational Aero- and Hydro-Acoustics, FED Vol. 147, eds: Mankbadi, R., R., Lyrintzis, A. S., Baysal, O., Povinelli, L. A., and Hussaini, M. Y., pp. 41-46, ASME Fluids Engineering Conference, Washington, DC, June.
70. Pierce, A., 1989, Acoustics - An Intoduction to Its Physical Priciples and Applications, Acoustical Society of America, 1989.
71. Pilon, A., and Lyrintzis, A. S., 1996, "On the Development of a Modified Kirchhoff Method for Supersonic Jet Aeroacoustics," AIAA paper No. 96-1709, presented at the 2nd AIAA/CEAS Aeroacoustics Meeting, (17th AIAA Aeroacoustics Meeting) State College, PA, May 1996.
72. Pilon, A.R., 1997, Development of Improved Surface Integral Methods for Jet Aeroacoustic Predictions, PhD Thesis, Dept. of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN, January 1997.
73. Pilon, A. R., and Lyrintzis, A. S., 1997a, "Integral Methods for Computational Aeroacoustics," AIAA paper No. 97-0020, presented at the 35th Aerospace Science Meeting, Reno, NV, Jan. 1997.
74. Pilon, A. R., and Lyrintzis, A. S., 1997b, "Refraction Corrections for the Modified Kirchhoff Method," AIAA paper No. 97-1654 presented at the 3rd AIAA/CEAS Aeroacoustics Meeting, Atlanta, GA, May 1997; also AIAA Journal of Aircraft, Vol. 35, No. 4, Jul.-Aug. 1998 (in press).
75. Pilon, A. R., and Lyrintzis, A. S., 1998, "Development of an Improved Kirchhoff Method for Jet Aeroacoustics," AIAA Journal, Vol. 36, No. 5, May 1998, pp. 783-790.
76. Polacsek, C., Prieur, J., 1995, "High-Speed Impulsive Noise Calculations in Hover and Forward Flight Using a Kirchhoff Formulation," CEAS/AIAA paper 95-138 Proceedings of the 1st Joint CEAS/AIAA Aeroacoustics Conference (16th AIAA Aeroacoustics Conference), Munich Germany, June 1995, Vol. II, pp. 973-978.
77. Purcell, T. W., 1988, "CFD and Transonic Helicopter Sound," Paper No. 2, 14th European Rotorcraft Forum.
78. Purcell, T. W., 1989, "A Prediction of High-Speed Rotor Noise," AIAA 89-1130, AIAA 12th Aeroacoustics Conference, San Antonio, TX.
79. Rahier, G., and Prier, J., "An Efficient Kirchhoff Integration Method for Rotor Noise Prediction Starting Indifferently from Subsonically or Supersonically Rotating Meshes," Proceedings of the 53rd AHS Annual Forum, Vol. 1, Virginia Beach, VA, Apr. 1997, pp. 697-707.
80. Scott, J. N., Pilon, A. R., Lyrintzis, A. S., and Rozmajzl, T., 1997, "A Numerical Investigation of Noise from a Rectangular Jet," AIAA paper No. 97-0485, presented at the 35th Aerospace Science Meeting, Reno, NV, Jan. 1997.
81. Scott, J. R., and Atassi, H. M., 1990, "Numerical Solution of the Linearized Euler Equations for Unsteady Vortical Flows Around Lifting Airfoils," AIAA paper No 90-0064, AIAA 28th Aerospace Science Meeting, Reno, NV.
82. Scott, J. R., and Atassi, H. M., 1995, "A Finite-Difference Frequency Domain, Numerical Scheme for the Solution of the Gust Response Problem," Journal of Computational Physics, Vol. 119, pp. 75-93.
83. Shih, S. H., Hixon, D. R., and Mankbadi, R. R., 1995, "A Zonal Approach for the Prediction of Jet Noise," CEAS/AIAA paper 95-144 presented at the first joint CEAS/AIAA Aeroacoustics Conference (16th AIAA Aeroacoustics Conference), Munich Germany, June 1995.
84. Shih, S. H., Hixon, D. R., Mankbadi, R. R., Pilon, A. R., and Lyrintzis, A. S., 1997, "Evaluation of FarField Jet Noise Prediction Methods," AIAA paper No. 97-0282, presented at the 35th Aerospace Science Meeting, Reno, NV, Jan. 1997.
85. Schmilz, F. H., Boxwell, D. A., Splettstoesser, W. R., and Schultz, K. J., 1984, "Model-Rotor High-Speed Impulsive Noise: Full-Scale Comparisons and Parametric Variations," Vertica, Vol 8, No. 4, 1984, pp. 395-422.
86. Soh, VV. Y., 1994, "Unsteady Jet Flow ComputationTowards Noise Prediction," AIAA paper 94-0138, AIAA 32nd Aerospace Science Meeting, Reno, NV.
87. Stoker, R. W., and Smith, M. J., 1993, "An Evaluation of Finite Volume Direct Simulation and Perturbation Methods in CAA Applications," AIAA 93-0152, Aerospace Sciences Meeting, Reno, NV, Jan. 1993.
88. Srinivasan, G. R., Baeder, J. D., Obayashi, S., and McCroskey, VV. J., 1992, "Flowfield of a Lifting Rotor in Hover - A Navier-Stokes Simulation," AIAA Journal, Vol. 30, No. 10, Oct. 1992, pp. 2371-2378.
89. Srinivasan, G. R., and Baeder, J. D., 1993, 'TURNS: A Free-Wake Euler/Navier-Stokes Numerical Method for Helicopter Rotors," AIAA Journal, Vol. 31, No. 5, May 1993, pp. 959-962.
90. Strawn, R. C., and Caradonna, F. X., 1987, "Conservative Full Potential Model for Unsteady Transonic Rotor Flows," AIAA Journal, Vol. 25, No. 2, Feb. 1987, pp. 193-198.
91. Strawn, R. C., Garceau M., and Biswas R., 1993, "Unstructured Adaptive Mesh Computations of Rotorcraft High-Speed Impulsive Noise," AIAA paper 93-4359, presented at the 15th AIAA Aeroacoustics Conference, Long Beach, CA Oct. 1993.
92. Strawn, R. C., and Biswas, R., 1995, "Computation of Helicopter Rotor Noise in Forward Flight," Journal of the American Helicopter Society, Vol. 40, No. 3, July 1995, pp. 66-72.
93. Strawn, R. C., Biswas, R., Lyrintzis, A. S. 1995, "Helicopter Noise Predictions Using KirchhorT Methods", Proceedings of the 51st AHS Annual Forum, Fort Worth TX, May 1995, Vol. I, pp 495-508; also IM ACS Journal of Computational Acoustics, Vol. 4, No. 3, Sept. 1996, pp. 321-339.
94. Strawn, R. C., Ahmad, J., Duque, E. P. N., 1998, "Rotorcraft Aeroacoustics Calculations with Overset-Grid CFD Methods," Proceedings of the AHS 54th Annual Forum, May 1998, Washington DC.
95. Tam, C. K. W., 1995, "Computational Aeroacoustics: Issues and Methods," AIAA Journal, Vol. 33, No. 10, Oct. 1995, pp. 1788-1796.
96. Viswanathan, K., and Sankar, L. N., 1995, "Toward the Direct Calculation of Noise: Fluid/Acoustic Coupled Simulation," AIAA Journal, Vol. 33, No. 12, pp. 2271-2279.
97. Wissink, A. M., Lyrintzis, A. S., Strawn, R. C., Oliker, L., and Biswas, R., 1996, "Efficient Helicopter Aerodynamic and Aeroacoustic Predictions on Parallel Computers," AIAA paper No. 96-0153, presented at the AIAA 34th Aerospace Science Meeting, Reno, NV, Jan. 1996.
98. Wu, S. F., 1993, "Nonuniqueness of Solutions to Extended Kirchhoff Integral Formulations," Journal of the Acoustical Society of America, Vol. 93, No. 2, February, pp. 683-695.
99. Wu, S. F., and Pierce, A. D., 1990, "Nonuniqueness of Solutions to Variationally Formulated Acoustic Radiation Problems," ASME Journal of Vibration and Acoustics, Vol. 112, pp. 263-267.
100. Xue, Y., and Lyrintzis, A. S., 1993, "Transonic BladeVortex Interactions: Noise Reduction Techniques," AIAA Journal of Aircraft Vol. 30, No. 3, May-June, pp. 408-411.
101. Xue, Y., and Lyrintzis, A. S., 1994, "Rotating Kirchhoff Method for Three-Dimensional Transonic BladeVortex Interaction Hover Noise," AIAA Journal, Vol. 32, No. 7, Jul. 1994, pp. 1350-1359.