A new hybrid RANS-LES turbulence modeling approach suited for modeling cavity aeroacoustics is presented. The model combines a one-equation LES subgrid model and a two equation RANS turbulence model in a physically consistent manner. The model takes into account the extent of resolution of the flow features by the mesh and computes an eddy viscosity for the turbulence model to reflect this resolution. It is shown that the model replicates the behavior of the underlying RANS and LES models in the coarse and fine mesh limits, respectively. Predictions of a surface pressures due to a supersonic flow over a cavity are compared with experimental measurements to demonstrate the model capabilities.
Get full access to this article
View all access options for this article.
References
1.
McGrathS.ShawL.L. (1996) “Active Control of Shallow Cavity Acoustic Resonance,” AIAA 96-1949, 1996.
2.
StanekM.J.RamanG.KibensV.RossJ.A.OdedraJ.PetoJ.W., “Control of Cavity Resonance Through Very High Frequency Forcing,” AIAA 00-1905.
3.
SinhaNArunajatesanS.UkeileyL. (2000) “High Fidelity Simulation Of Weapons Bay Aeroacoustics Attenuation And Active Flow Control,” AIAA-00-1968, 2000.
4.
SinhaN.ArunajatesanS.ShipmanJ.D.SeinerJ.M., “High Fidelity Simulation and Measurements of Aircraft Weapons Bay Dynamics,” AIAA-01-2125.
SmagorinskyJ. (1963) “General circulation experiments with the primitive equations,”Month. Weath. Rev., Vol. 93, 1963, pp. 99–165.
7.
MenonS.KimW-W. (1996) “High Reynolds Number Flow Simulation Using the Localized Dynamic Subgrid Scale Model,” AIAA-96-0425, 1996.
8.
NelsonC.C. (1997) “Simulations of spatially evolving compressible turbulence using a local dynamic subgrid model,” Ph.D. Thesis, Georgia Institute of Technology, 1997.
9.
LaunderB.E.SpaldingD.B. (1974) “The numerical computation of turbulent flows,”Computational Methods in Applied Mechanical Engineering, Vol. 3, 1974, pp. 269–289.
10.
WilcoxD.C. (1988) “Mode Advanced Applications of the Multiscale Model for Turbulent Flows,” AIAA-88-0220, 1988.
11.
MellorG.L.HerringH.J. (1973) “A survey of mean turbulent field closure models,”AIAA J., Vol. 11, 1973, pp. 590–599.
12.
SpezialeC.G. (1998) “Turbulence Modeling for Time-Dependent RANS and VLES: A Review,”AIAA J., Vol. 36, No. 2., p 173, February 1998.
13.
SpalartP.R.AllmarasS.R. (1992) “A One-Equation Turbulence Model for Aerodynamic Flows,” AIAA-92-0439, 1992.
14.
ConstaninescuG.S.SquiresK.D. (2000) “LES and DES investigations of Turbulent flow over a sphere,” AIAA-2000-0540, 2000.
15.
ForsytheJ.R. (2000) “Numerical computation of Turbulent Separated supersonic flow fields,” Ph.D Thesis, Wichita State University, 2000.
16.
PeltierL.J.ZajaczkowskiF.J.WyngaardJ.C. (2000) “A Hybrid RANS/LES Approach to Large-Eddy Simulation of High-Reynolds Number Wall bounded Turbulence,”Proceedings of ASME FEDSM'00: ASME 2000 Fluids Engineering Division Summer Meeting, FEDSM2000-11177, 2000.
RaiM.M. (1987) “Navier Stokes Simulations of Blade Vortex Interaction using High-Order Accurate Upwind Schemes,” AIAA-87-0543, 1987.
19.
SinhaN.HosangadiA.DashS.M. (1991) The CRAFT NS code and preliminary applications to steady/unsteady reacting, multi-phase jet/plume flowfieldproblems, CPIA Pub. 568, May 1991.
20.
CalhoonW.H.Jr.KannepalliC.DashS.M. (2001) “LES Studies Of Scalar Fluctuations At High Convective Mach Numbers,”Third AFOSR International Conference on Direct Numerical Simulation and Large Eddy Simulation (TAICDL), University of Texas at Arlington, Arlington, Texas, USA, August 5–9, 2001.
21.
DriscollR.J.KennedyL.A. (1993) “A model for the turbulent energy spectrum,”Physics of Fluids, Vol. 26, No. 5, 1993.
22.
PaoY.H. (1965) “Structure of Turbulent Velocity and Scalar Fields at Large Wave Numbers,”Physics of Fluids, Vol. 8, pp. 1063–1070, 1965.
23.
KraichnanR.H. (1976) “Eddy viscosity in two and three dimensions,”Journal of Atmospheric Science, 33, pp. 1521–1536, 1976.
24.
CholletJ.P.LesieurM. (1981) “Parameterization of small scales of three dimensional isotropic turbulence utilizing spectral closures,”Journal of Atmospheric Science, Vol. 38, pp. 2747–2757, 1981.
25.
BirchS.C.EggersJ.M., “A critical review of the experimental data for developed free shear layers,” NASA-SP-321, pp. 943–949.
26.
PappJ.L.DashS.M. (2001) “Turbulence model unification and assessment for high speed aeropropulsive flows,” AIAA-01-0880, 2001.
27.
Van DriestE.G., “On the Turbulent Flow Near a Wall,”J. of Aeron. Sci., Vol. 23, pp. 1007, 1956.
28.
SoR.M.C.SarkarA.GerodimosG.ZhangJ. (1997) “A Dissipation rate equation for Low Reynolds Number and Near wall turbulence,”Theoretical and Computational Fluid Dynamics, Vol. 9, pp. 47–63, 1997.
29.
SpaldingD.B. (1961) “A single formula for the Law of the Wall,”Journal of Applied Mechanics, Vol. 28, pp. 455–457, 1961.
30.
WhiteF.M. (1974) Viscous Fluid Flow, McGraw-HillNew York, 1974.
31.
RossiterJ.E. (1966) Wind Tunnel Experiments on the Flow Over Rectangular Cavities at Subsonic and Supersonic Speeds, Royal Aircraft Establishment, ARC R. and M. No. 3438, 1966.
32.
ShawL.L.BartelH.McAvoyJ., “Prediction and Suppression of the Acoustic Environment in Large Enclosures With a Small Opening Exposed to Aerodynamic Flow,” AIAA 82-0121.
33.
SarnoR.L.FrankeM.E. (1994) “Suppression of Flow-Induced Pressure Oscillations in Cavities,”J. of Aircraft, Vol. 31, No. 1, pp. 90–96, February, 1994.
34.
SmithD.L.ShawL.L. (1975) “Prediction Of The Pressure Oscillation In Cavities Exposed To Aerodynamic Flow,” AFFDL-TR-75-34, Oct. 1975.
35.
SarohiaV.MassierP. F. (1977) “Control of Cavity Noise,”J. of Aircraft, Vol. 16, No. 9, 1977, pp. 833–837.
36.
CattafestaL.N.IIIShuklaD.GargS.RossJ.A., “Development of an Adaptive Weapons-Bay Suppression System,” AIAA 99-1901.
37.
ShawL.NorthcraftS., “Closed Loop Active Control for Cavity Acoustics,” AIAA-99-1902.
38.
McGrathS.ShawL.L. (1996) “Active Control of Shallow Cavity Acoustic Resonance,” AIAA 96-1949, 1996.
39.
WiltseJ.M.GlezerA. (1998) “Direct Excitation of Small-Scale Motion in Free Shear flows,”Physics of Fluids, Vol. 10, No. 8, pp. 2026, August 1998.
DixR.E.BauerR.C., “Experimental and Predicted Amplitudes In A Rectangular Cavity,” AIAA 2000-0472.
42.
ShiehC.M.MorrisP.J., “Comparison of Two- And Three-Dimensional Turbulent Cavity Flows,” AIAA-01-0511.
43.
PlentovichE.B.StallingsR.L.Jr.TraceyM.B. (1993) “Experimental Cavity Pressure Measurements at Subsonic and Transonic Speeds,”NASA Technical Paper 3358, December 1993.
44.
LighthillM.J. (1952) “On Sound Generated Aerodynamically, I: General Theory,”Proc. R. Soc. London Ser. A, A211:564, 1952.
45.
ArunajatesanS.ShipmanJ.D.SinhaN. (2002) “Hybrid RANS-LES Simulation Of Cavity Flow Fields With Control,” AIAA 2002-1130, 2002.
46.
UkeileyL.S.PontonM.K.SeinerJ.M.JansenB. (2002) “Suppression of Pressure Loads in Cavity Flows,” AIAA 2002-0661, 2002.
