Aeroacoustic Computation of Cavity Flow in Self-Sustained Oscillations

  • Koh, Sung-Ryong (Department of Mechanical Engineering Korea University) ;
  • Yong Cho (Department of Mechanical Engineering Korea University) ;
  • Young J. Moon (Department of Mechanical Engineering korea University)
  • Published : 2003.04.01

Abstract

A computational aero-acoustic (CAA) method is used to predict the tonal noise generated from a cavity of automobile door seals or gaps at low flow Mach numbers (A$\_$$\infty$/=0.077 and 0.147) In the present method, the acoustically perturbed Euler equations are solved with the acoustic source term obtained from the unsteady incompressible Navier-Stokes calculations of the cavity flow in self-sustained oscillations. The aerodynamic and acoustic fields are computed for the Reynolds numbers based on the displacement thickness, Re$\_$$\delta$*/=850 and 1620 and their fundamental mode characteristics are investigated. The present method is also verified with the experimentally measured sound pressure level (SPL) spectra.

Keywords

References

  1. Chorin, A. J., 'A Numerical Method for Solving Incomprissible Viscous Flow Problems,' J. Comput. Phys., Vol. 2, pp. 12-26 https://doi.org/10.1016/0021-9991(67)90037-X
  2. Colonius, T., Basu, A. J. and Rowley, C. W., 1999, 'Numerical Investigation of the Flow pasta Cavity,' AIAA Paper 99-1912
  3. Hardin, J. C. and Pope, D. S., 1995, 'Sound Generation by Flow over a Two-dimensional Cavity,' AIAA J., Vol. 33, pp. 407-412 https://doi.org/10.2514/3.12592
  4. Henderson, B., 2000, 'Automobile Noise Involving Feedback-sound Generation by Low Speed Cavity Flows,' Third Computational Aeroacoustics (CAA) Workshop on Benchmark Problems, NASA/CP-2000-209790
  5. Hirt, C. W. and Cook, J. L., 1972, 'Calculating Three-dimenstional Flows around Structures and over Rough Terrain,' J. Compt. Phys., Vol. 10, pp. 324-340 https://doi.org/10.1016/0021-9991(72)90070-8
  6. Hu, F. Q., 1996, 'On Absorbing Boundary Conditions for Linearized Euler Equations by a PML,' J. Compt. Phys., Vol. 129, pp. 201-219 https://doi.org/10.1006/jcph.1996.0244
  7. Maull, D. J. and East, L. F., 1963, 'Three-Dimensional Flow in Cavities,' J. Fluid Mech., Vol. 16, pp. 620-632 https://doi.org/10.1017/S0022112063001014
  8. Pauley, L. L., Moin, P., and Reynolds, W. C., 'The Structure of Two-Dimensional Separation,' J. Fluid Mech., Vol. 220, pp. 397-441 https://doi.org/10.1017/S0022112090003317
  9. Rhie, C. M. and Chow, W. L., 1983, 'Numerical Study of the Turbulent Flow past an Airfoil with Trailling Edge Separation,' AIAA J., Vol. 21, pp. 1525-1532 https://doi.org/10.2514/3.8284
  10. Rockwell, D. and Naudascher, E., 1978, 'Review-Self-sustaining Oscillations of Flow past Cavities,' J. Fluids Eng., Vol. 100, pp. 152-165 https://doi.org/10.1115/1.3448624
  11. Roshko, A., 1955, 'Some Measurements of Flow in a Rectangular Cutout,' NACA TN-3488
  12. Rossiter, J. E., 1964, 'Wind-tunnel Experiments on the Flow over Rectangular Cavities at Subsonic and Transonic Speeds,' Aeronautical Research Council Reports and Memoranda, Technical report 3438
  13. Sarohia, V., 1977, 'Experimental Investigation of Oscillations in Flows over Shallow Cavities,' AIAA J., Vol. 15, pp. 984-991 https://doi.org/10.2514/3.60739
  14. Shen, W. Z. and Sorensen, J. N., 1999, 'Aeroacoustic Modelling of Low-Speed Flows,' Theoretical and Computational Fluid Dynamics, Vol. 13, pp. 271-289 https://doi.org/10.1007/s001620050118
  15. Tam, C. K., 1976, 'The Acoustic Modes of a Two-dimensional Rectangular Cavity,' J. Sound and Vibration, Vol. 49, pp. 353-364 https://doi.org/10.1016/0022-460X(76)90426-0
  16. Tam, C. K. W. and Block, P. J. W., 1978, 'On the Tones and Pressure Oscillations Induced by Flow over Rectangular Cavities,' J. Fluid Mech., Vol. 89, pp. 373-399 https://doi.org/10.1017/S0022112078002657
  17. Van Leer, B., 1979, 'Towards the Ultimate Conservative Difference Schemes V-A Second Order Sequel to Godunov's Method,' J. Compt. Phys., Vol. 32, pp. 101-136 https://doi.org/10.1016/0021-9991(79)90145-1