Reduced Order Modeling in Control of Open Cavity Acoustics

Abstract : Aircraft with internal carriage of weapons or surveillance systems require active control strategies to limit high amplitude open bay acoustic resonances and to facilitate optimization of structure requirements and weapon/surveillance reliability. This paper focuses on communicating an investigation of the use of numerical simulation combined with Proper Orthogonal Decomposition (POD) model reduction methods to optimize an active control system for aircraft open cavity applications. Issues ad- dressed include characterizing shear layer and wake resonant responses, optimal steady blowing rates, the effect of open loop harmonic perturbations, use of POD for post-processing data to reduce storage requirements, and the use of the Nelder-Mead optimization procedure. Comparison of the wake and shear layer responses reveals why a wake response in aircraft is undesirable. This study has focused primarily on a freestream flow at M=0.85 with a cavity of aspect ratio l/d = 4.5. The results include the use of steady blowing injection up to M = 0.9 and harmonic forcing perturbations ranging in amplitude from M=0.005 to M=0.45. In the parameter space examined, fluid displacement had the largest effect. The best observed forcing reduced the buffet loading metrics by approximately 17 db.

[1]  Chih-Ming Ho,et al.  Perturbed Free Shear Layers , 1984 .

[2]  C. Tam,et al.  On the tones and pressure oscillations induced by flow over rectangular cavities , 1978, Journal of Fluid Mechanics.

[3]  M. Gharib Response of the cavity shear layer oscillations to external forcing , 1985 .

[4]  A. Cain,et al.  Evaluation of shear layer cavity resonance mechanisms by numerical simulation , 1992 .

[5]  D. L. Smith,et al.  Prediction of the Pressure Oscillations in Cavities Exposed to Aerodynamic Flow , 1975 .

[6]  L. Shaw Full-scale flight evaluation of suppression concepts for flow-induced fluctuating pressures in cavities , 1982 .

[7]  R. L. Sarno,et al.  Suppression of flow-induced pressure oscillations in cavities , 1994 .

[8]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[9]  P. Holmes,et al.  The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows , 1993 .

[10]  David Williams,et al.  Closed-Loop Control in Cavities with Unsteady Bleed Forcing , 2000 .

[11]  Harvey Thomas Banks,et al.  Modeling of acoustic fields generated by flow past an open cavity , 1999 .

[12]  Leonard Shaw,et al.  ACTIVE CONTROL FOR CAVITY ACOUSTICS , 1998 .

[13]  Deepak Shukla,et al.  DEVELOPMENT OF AN ADAPTIVE WEAPONS-BAY SUPPRESSION SYSTEM , 1999 .

[14]  S. Arunajatesan,et al.  TOWARDS HYBRID LES-RANS COMPUTATIONS OF CAVITY FLOWFIELDS" , 2000 .

[15]  M. Mani,et al.  A compressible wall function for steady and unsteady flow applications , 1999 .

[16]  Hanno H. Heller,et al.  The physical mechanism of flow-induced pressure fluctuations in cavities and concepts for their suppression , 1975 .

[17]  W. W. Bower,et al.  Comparison of spatial numerical operators for duct-nozzle acoustics , 1995 .

[18]  J. Rossiter Wind tunnel experiments on the flow over rectangular cavities at subsonic and transonic speeds , 1964 .

[19]  D. Rockwell,et al.  Review—Self-Sustaining Oscillations of Flow Past Cavities , 1978 .

[20]  Ricardo C. H. del Rosario,et al.  Reduced-order model feedback control design: numerical implementation in a thin shell model , 2000, IEEE Trans. Autom. Control..

[21]  D. Rockwell,et al.  Invited Lecture - Oscillations of impinging shear layers , 1982 .

[22]  E. Covert,et al.  Flow-Induced Pressure Oscillations in Shallow Cavities , 1971 .