Analysis of Flow Oscillation Due to Sidewall of Three-Dimensional Supersonic Open Cavity Flow

  • T. U. Kim
  • S. H. ParkEmail author
  • S. Lee
  • D. O. Yu
  • H. C. You
Original Paper


Unsteady turbulent flow simulations were performed based on the Reynolds-averaged Navier–Stokes (RANS) equations to investigate flow oscillation due to three-dimensional (3D) configuration of a Mach 1.5 supersonic open cavity flow with a length-to-depth ratio of 3. Two-dimensional (2D) and 3D unsteady simulation results were analyzed and compared with experimental data and Rossiter’s empirical prediction data. The three-dimensional cavity width-to-depth ratio (W/D) was 1, 3.8 and 7.6. Computational results indicated that pressure oscillation in the 2D flow was generated by a single-flow structure, whereas a multiple-flow structure generated multiple oscillation peaks in the 3D flow. The flow structure in the 3D cavity was investigated. For the 2D flow case, the cavity internal pressure wave was directly synchronized with the free shear layer. In the 3D flow case, an unstable spanwise flow due to the sidewall was observed. This spanwise fluctuation produced additional pressure oscillations coupled with the streamwise internal pressure wave. The numerical results indicate that the spanwise flow reduces the propagation speed of the internal pressure waves and the intensity of the corresponding pressure fluctuation.


Computational fluid dynamics Frequency analysis Cavity flow Three-dimensional effect 



This study was supported by the Agency for Defense Development (No. UD170084JD).


  1. 1.
    Krishnamurthy K (1955) Acoustic radiation from two-dimensional rectangular cutouts in aerodynamic surface. NACA, TN-3487Google Scholar
  2. 2.
    Shieh C, Morris P (2001) Comparison of two-and three-dimensional turbulent cavity flows. In: 39th aerospace sciences meeting and exhibit, p 511Google Scholar
  3. 3.
    Maull DJ, East LF (1963) Three-dimensional flow in cavities. J Fluid Mech 16(4):620–632CrossRefGoogle Scholar
  4. 4.
    Tracy MB, Plentovich EB (1993) Characterization of cavity flow fields using pressure data obtained in the Langley 0.3-meter transonic cryogenic tunnel. NASA, TM-4363Google Scholar
  5. 5.
    Plentovich EB, Stallings RL Jr, Tracy MB (1993) Experimental cavity pressure measurements at subsonic and transonic speeds. Static-pressure results. NASA, TP-3358Google Scholar
  6. 6.
    Rockwell D, Naudascher E (1978) Self-sustaining oscillations of flow past cavities. J Fluids Eng 100(2):152–165CrossRefGoogle Scholar
  7. 7.
    Zhang X, Edwards JA (1988) Computational analysis of unsteady supersonic cavity flows driven by thick shear layers. Aeronaut J 92(919):365–374CrossRefGoogle Scholar
  8. 8.
    Stallings RL Jr, Wilcox FJ Jr (1987) Experimental cavity pressure distributions at supersonic speeds. NASA, TP-2683Google Scholar
  9. 9.
    Liu Y, Tong M (2015) Aeroacoustic Investigation of a cavity with and without doors by delayed detached eddy simulation. Int J Aeronaut Space Sci 16(1):19–27CrossRefGoogle Scholar
  10. 10.
    Gharib M, Roshko A (1987) The effect of flow oscillations on cavity drag. J Fluid Mech 177:501–530CrossRefGoogle Scholar
  11. 11.
    Colonius T, Basu AJ, Rowley CW (1999) Computation of sound generation and flow/acoustic instabilities in the flow past an open cavity. In: Proceedings of the FEDSM99 3rd ASME/JSME joint fluids engineering conference, San Francisco, pp 18–23Google Scholar
  12. 12.
    Rossiter JE (1964) Wind tunnel experiments on the flow over rectangular cavities at subsonic and transonic speeds. Aeronautical Research Council Reports and Memoranda 3438Google Scholar
  13. 13.
    Heller HH, Holmes DG, Covert EE (1971) Flow-induced pressure oscillations in shallow cavities. J Sound Vib 18(4):545–553CrossRefGoogle Scholar
  14. 14.
    Dahal N, Fukiba K, Mizuta K, Maru Y (2018) Study of pressure oscillations in supersonic parachute. Int J Aeronaut Space Sci 19(1):24–31CrossRefGoogle Scholar
  15. 15.
    Woo CH, Kim JS, Lee KH (2008) Three-dimensional effects of supersonic cavity flow due to the variation of cavity aspect and width ratios. J Mech Sci Technol 22(3):590–598CrossRefGoogle Scholar
  16. 16.
    Zhang X, Edwards JA (1990) An investigation of supersonic oscillatory cavity flows driven by thick shear layers. Aeronaut J 94(940):355–364Google Scholar
  17. 17.
    Zhang X (1995) Compressible cavity flow oscillation due to shear layer instabilities and pressure feedback. AIAA J 33(8):1404–1411CrossRefGoogle Scholar
  18. 18.
    Menter FR (1994) Two-equation eddy-viscosity turbulence models for engineering applications. AIAA J 32(8):1598–1605CrossRefGoogle Scholar
  19. 19.
    Roe PL (1981) Approximate Riemann solvers, parameter vectors, and difference schemes. J Comput Phys 43(2):357–372MathSciNetCrossRefGoogle Scholar
  20. 20.
    Yoon SH, Kim C, Kim KH (2008) Multi-dimensional limiting process for three-dimensional flow physics analyses. J Comput Phys 227(12):6001–6043MathSciNetCrossRefGoogle Scholar
  21. 21.
    Park SH, Kwon JH (2004) Implementation of kω turbulence models in an implicit multigrid method. AIAA J 42(7):1348–1357CrossRefGoogle Scholar
  22. 22.
    Lawson SJ, Barakos GN (2010) Evaluation of DES for weapons bays in UCAVs. Aerosp Sci Technol 14(6):397–414CrossRefGoogle Scholar
  23. 23.
    Welch P (1967) The use of fast Fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms. IEEE Trans Audio Electroacoust 15(2):70–73CrossRefGoogle Scholar
  24. 24.
    Wilcox DC (1998) Turbulence modeling for CFD. DCW industries, La CanadaGoogle Scholar

Copyright information

© The Korean Society for Aeronautical & Space Sciences 2019

Authors and Affiliations

  • T. U. Kim
    • 1
  • S. H. Park
    • 1
    Email author
  • S. Lee
    • 2
  • D. O. Yu
    • 3
  • H. C. You
    • 3
  1. 1.Department of Aerospace Information EngineeringKonkuk UniversitySeoulRepublic of Korea
  2. 2.Department of Aerospace EngineeringInha UniversityIncheonRepublic of Korea
  3. 3.Agency for Defense DevelopmentDaejeonRepublic of Korea

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