Numerical Evidence of Mode Switching in the Flow-Induced Oscillations by a Cavity

A Direct Noise Computation (DNC) has been performed for a turbulent boundary layer past a rectangular cavity, matching one configuration of Karamcheti1 experiments. An LES approach with periodic boundary conditions in the spanwise direction is used to evaluate the solution at a reasonable computational cost. The two components in the pressure spectra found experimentally are well reproduced. The acoustic field appears to be dominated by the low-frequency component whereas the experimental visualization indicates a radiation at the higher frequency. The mechanism giving rise to the lower frequency is investigated providing evidence on the possibility of switching between two cavity modes and that the strong coupling of the separated shear layer with the recirculation flow within the cavity is likely to participate to the low-frequency modulation. Moreover, an extrapolation method is proposed and applied to obtain the far-field from the near acoustic field.

[1]  Christopher K. W. Tam.  Advances in numerical boundary conditions for computational aeroacoustics , 1997 .

[2]  R. Mankbadi,et al.  Zonal Approach for Prediction of Jet Noise , 1997 .

[3]  Donald Rockwell,et al.  Self-sustained low-frequency components in an impinging shear layer , 1982, Journal of Fluid Mechanics.

[4]  G.,et al.  TOWARD THE LARGE-EDDY SIMULATION OF COMPRESSIBLE TURBULENT FLOWS , 2022 .

[5]  D. Heo,et al.  Numerical investigation of the cover-plates effects on the rectangular open cavity , 2001 .

[6]  P. Sagaut,et al.  Large-eddy simulation of a compressible flow past a deep cavity , 2003 .

[7]  D. Rockwell,et al.  Vortex‐edge interaction: Mechanisms for generating low frequency components , 1980 .

[8]  Refraction corrections for the Kirchhoff method , 1997 .

[9]  C. Bogey.  Three-dimensional non-refrective boundary conditions for acoustic simulation : far field formulation and validation test cases , 2002 .

[10]  P. Spalart.  Direct simulation of a turbulent boundary layer up to Rθ = 1410 , 1988, Journal of Fluid Mechanics.

[11]  P. Moin,et al.  Direct numerical simulation of transition and turbulence in a spatially evolving boundary layer , 1991 .

[12]  K. Krishnamurty,et al.  Acoustic radiation from two-dimensional rectangular cutouts in aerodynamic surfaces , 1955 .

[13]  G. Whitham,et al.  Linear and Nonlinear Waves , 1976 .

[14]  C. Rowley,et al.  Numerical investigation of the flow past a cavity , 1999 .

[15]  D. Juvé,et al.  Computation of the noise radiated by a subsonic cavity using direct simulation and acoustic analogy , 2001 .

[16]  D. Rockwell.  Oscillations of impinging shear layers , 1983 .

[17]  G. Whitham.  Linear and non linear waves , 1974 .

[18]  J. Lin,et al.  Organized Oscillations of Initially-Turbulent Flow Past a Cavity , 2002 .

[19]  Louis N. Cattafesta,et al.  Experiments on compressible flow-induced cavity oscillations , 1998 .

[20]  F. Grinstein,et al.  Large Eddy simulation of high-Reynolds-number free and wall-bounded flows , 2002 .

[21]  K. Karamcheti,et al.  Multiple tone operation of edgetones , 1970 .

[22]  Philippe Geffroy,et al.  The mixing layer over a deep cavity at high-subsonic speed , 2003, Journal of Fluid Mechanics.

[23]  Parviz Moin,et al.  Matching of near/far-field equations sets for direct computation of aerodynamic sound , 1993 .

[24]  Philip J. Morris,et al.  Parallel computational aeroacoustic simulation of turbulent subsonic cavity flow , 2000 .

[25]  H. Najm,et al.  NUMERICAL SIMULATION OF THE CONVECTIVE INSTABILITY IN A DUMP COMBUSTOR , 1991 .

[26]  Khairul Q. Zaman,et al.  The free shear layer tone phenomenon and probe interference , 1978, Journal of Fluid Mechanics.

[27]  Peter R. Voke,et al.  NUMERICAL STUDY OF BYPASS TRANSITION , 1995 .

[28]  J. Deardorff.  A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers , 1970, Journal of Fluid Mechanics.

[29]  Donald Rockwell,et al.  Instantaneous pressure fields at a corner associated with vortex impingement , 1983, Journal of Fluid Mechanics.

[30]  Chih-Ming Ho,et al.  Dynamics of an impinging jet. Part 1. The feedback phenomenon , 1981, Journal of Fluid Mechanics.

[31]  M. Lesieur,et al.  Large-eddy simulation of transition to turbulence in a boundary layer developing spatially over a flat plate , 1996, Journal of Fluid Mechanics.

[32]  K. K. Ahuja,et al.  Effects of cavity dimensions, boundary layer, and temperature on cavity noise with emphasis on benchmark data to validate computational aeroacoustic codes , 1995 .

[33]  Xavier Gloerfelt,et al.  Direct computation of the noise radiated by a subsonic cavity flow and application of integral methods , 2003 .

[34]  P. Moin,et al.  Numerical investigation of turbulent channel flow , 1981, Journal of Fluid Mechanics.

[35]  T. A. Zang,et al.  Toward the large-eddy simulation of compressible turbulent flows , 1990, Journal of Fluid Mechanics.

[36]  M. R. Head,et al.  New aspects of turbulent boundary-layer structure , 1981, Journal of Fluid Mechanics.

[37]  I. Wygnanski,et al.  The forced mixing layer between parallel streams , 1982, Journal of Fluid Mechanics.

[38]  Christophe Bailly,et al.  LES of a High Reynolds, High Subsonic Jet: Effects of the Subgrid Modellings on Flow and Noise , 2003 .

[39]  Christophe Bailly,et al.  A Family of Low Dispersive and Low Dissipative Explicit Schemes for Computing Aerodynamic Noise , 2002 .

[40]  Xavier Gloerfelt,et al.  Aerodynamic Noise Induced by Laminar and Turbulent Boundary Layers over Rectangular Cavities , 2002 .

[41]  Anastasios S. Lyrintzis,et al.  Evaluation of far-field jet noise prediction methods , 1997 .

[42]  J. Pereira,et al.  Experimental and Numerical Investigation of Flow Oscillations in a Rectangular Cavity , 1995 .

[43]  C. M. Shieh,et al.  Comparison of two- and three-dimensional turbulent cavity flows , 2001 .