Investigation of cavity flows at low and high Reynolds numbers using computational fluid dynamics

Despite the amount of research into the cavity flow problem the prediction of the flow patterns, associated forces and acoustic phenomena remains an unsolved problem. The coupling of the shear layer dynamics, the internal vortical structures and the acoustics of the cavity make it a very complex flow despite the simple geometry. Once doors, stores and release mechanism are added the problem is compounded, thus accurate prediction methods are a necessity. The cavity has been shown to oscillate in different modes depending on the flow conditions and the geometry of the cavity. Two modes of oscillation were examined in detail, these being the wake and shear layer mode, using computational fluid dynamics and experimental data where available. The flow code used is the in-house CFD solver PMB and the experimental data has been provided by DERA. The cavity geometry was for a 1VD=5 cavity with a W/D ratio of 1 for the 3D investigation. For the wake mode the Reynolds number has been varied from 5,000 to 100,000 and the Mach number has been varied from 0.3 to 1.0 in order to examine the effect of changing conditions on this mode of oscillation. The characteristics of this mode of oscillation have been identified and a stable region within the varying Mach and Reynolds numbers has been shown. Outside of this stable region a blended flow has been identified. For the shear layer mode of oscillation the open cavity environment has been examined. This cavity is of great interest as examples of it can be found in current airframes, the H- 111 for example. This flow type is characterised by intense acoustic noise at distinct frequencies which could cause structural fatigue and damage sensitive electronics. However, this cavity type also has a relatively benign pressure distribution along the length of the cavity making it ideal for store separation. The flow cycle predicted shows that the separated shear layer impact on the rear wall generates strong acoustic waves. These waves are further enhanced by the interaction of the wave with the vortices and upstream wall of the cavity. The flow conditions of interest for this case are M=0.85 and Re=6.783 million. A study of the effect of time step, grid refinement and turbulence model has been performed. It has been seen that the density of the grid and the turbulence model chosen must be considered as a pair; if the grid is too fine it may resolve scales being modelled by the turbulence model and result in a double counting of energy resulting in spurious results. One area of cavity studies that has received only sparse investigation is the effect of 3-Dimensionality on the flow. One objective of this work was to try and rectify this. However, it was found that the choice of solver could play a significant role in the accurate prediction of the 3D cavity flow. For cases where the acoustic spectrum is broad, typical URANS codes may have difficulty in predicting these flows. Under such conditions DES or LES would be more appropriate choices. However, when the frequency spectrum is not as spread out URANS can provide good results. This can be seen in the 3D cavity case where doors are present and aligned vertically. The wake mode, while identified in 2D. has received little attention in 3D. It is generally thought that the effect of the third dimension would be to trip the wake mode to shift to another mode of oscillation. This study has shown that this is indeed the case. The flow cycle shown is more reminiscent of the blended flows shown in some 2D cases.

[1]  Aldo Rona,et al.  A FLOW-RESONANT MODEL OF TRANSONIC LAMINAR OPEN CAVITY INSTABILITY , 2000 .

[2]  Ken Badcock,et al.  Utilising CFD in the investigation of high-speed unsteady spiked body flows , 2002 .

[3]  N. Suhs,et al.  Computations of three-dimensional cavity flow at subsonic and supersonic Mach numbers , 1987 .

[4]  Pierre Sagaut,et al.  Large-Eddy Simulations of Flows in Weapon Bays , 2003 .

[5]  Ahmad Vakili,et al.  An experimental study of open cavity flows at low subsonic speeds , 2002 .

[6]  Sukumar Chakravarthy,et al.  Comparison of Three Navier-Stokes Equation Solvers for Supersonic Open Cavity Simulations , 1998 .

[7]  Comparison of Baldwin-Lomax Turbulence Models for Two-Dimensional Open Cavity Computations , 1996 .

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

[9]  Brian J. Gribben Progress Report: Application of the Multiblock Method in Computational Aerodynamics. Aero Report 9621 , 1996 .

[10]  N. Malmuth,et al.  Dynamics of Slender Bodies Separating from Rectangular Cavities , 2001 .

[11]  N. Clemens,et al.  Planar laser imaging of a supersonic side-facing cavity , 1999 .

[12]  A. Hamed,et al.  DIRECT NUMERICAL SIMULATIONS OF HIGH SPEED FLOW OVER CAVITY , 2001 .

[13]  Gregory S Elliott,et al.  Characteristics of the compressible shear layer over a cavity , 2001 .

[14]  C. Anderson,et al.  TRANSONIC FLOW OVER CAVITIES , 2001 .

[15]  D. Wilcox Reassessment of the scale-determining equation for advanced turbulence models , 1988 .

[16]  Oktay Baysal,et al.  Unsteady viscous calculations of supersonic flows past deep and shallow three-dimensional cavities , 1988 .

[17]  M. B. Tracy,et al.  Characterization of cavity flow fields using pressure data obtained in the Langley 0.3-Meter Transonic Cryogenic Tunnel , 1993 .

[18]  P. Orkwis,et al.  Effect of Yaw on Pressure Oscillation Frequency Within Rectangular Cavity at Mach 2 , 1997 .

[19]  Jason Henderson Investigation of cavity flow aerodynamics using computational fluid dynamics , 2001 .

[20]  D. Bray,et al.  Experimental investigation into transonic flows over tandem cavities , 2001, The Aeronautical Journal (1968).

[21]  R. L. Stallings,et al.  Store separation from cavities at supersonic flight speeds , 1983 .

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

[23]  D. Wilcox Simulation of Transition with a Two-Equation Turbulence Model , 1994 .

[24]  Donald P. Rizzetta,et al.  Numerical Simulation of Supersonic Flow Over a Three-Dimensional Cavity , 1987 .

[25]  Hanno H. Heller,et al.  Cavity Pressure Oscillations: The Generating Mechanism Visualized , 1996 .

[26]  C. Rowley,et al.  Computation of sound generation and flow/acoustic instabilities in the flow past an open cavity , 1999 .

[27]  Maureen B. Tracy,et al.  Cavity Unsteady-Pressure Measurements at Subsonic and Transonic Speeds , 1997 .

[28]  Supersonic open cavity flow physics ascertained from algebraic turbulence model simulations , 1996 .

[29]  Flow field characterisation within a rectangular cavity , 2000 .

[30]  Aldo Rona,et al.  AN OBSERVATION OF PRESSURE WAVES AROUND A SHALLOW CAVITY , 1998 .

[31]  M. B. Tracy,et al.  Experimental Cavity Pressure Measurements at Subsonic and Transonic Speeds Static-Pressure Results , 2003 .

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

[33]  Noel T. Clemens,et al.  Planar Laser Imaging of High Speed Cavity Flow Dynamics , 1998 .

[34]  Noel T. Clemens,et al.  Experimental Study of Shear-Layer/Acoustics Coupling in Mach 5 Cavity Flow , 2001 .

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

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

[38]  B. Richards,et al.  Understanding subsonic and transonic open cavity flows and supression of cavity tones , 2000 .

[39]  F. Menter Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[40]  Clarence W. Rowley,et al.  Modeling, Simulation, and Control of Cavity Flow Oscillations , 2002 .

[41]  On the Application of Hybrid RANS-LES and Proper Orthogonal Decomposition Techniques to Control of Cavity Flows , 2001 .

[42]  A. Hamed,et al.  Unsteady supersonic cavity flow simulations using coupled k-epsilon and Navier-Stokes equations , 1994 .

[43]  Budugur Lakshminarayana,et al.  Low-Reynolds-number k-epsilon model for unsteady turbulent boundary-layer flows , 1993 .

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

[45]  Valdis Kibens,et al.  Control of cavity resonance through very high frequency forcing , 2000 .

[46]  Awatef Hamed,et al.  NUMERICAL SIMULATIONS OF TRANSONIC FLOW ACOUSTIC RESONANCE IN CAVITY , 2001 .