Improvement of Delayed-Detached Eddy Simulation Applied to Separated Flow Over Missile Fin

This paper presents computational simulations of the flow over a 50-deg sweep missile fin for an angle of attack equal to 25 deg. For such an angle of attack, the flow is expected to fully separate. Nevertheless, Reynolds-averaged Navier-Stokes computations still predict the presence of a leading-edge vortex. Then, hybrid Reynolds-averaged Navier-Stokes/large eddy simulation methods are assessed. In particular, this study focuses on the delayed-detached eddy simulation and on a proposed extension of this method (EDDES), in which the objective is to accelerate the destruction of the eddy viscosity in large eddy simulation regions. These two methods are assessed in the case of a boundary-layer flow, and it is shown that the extended delayed-detached eddy simulation behaves as the delayed-detached eddy simulation method. Nevertheless, in the case of a fully separated flow downstream from a backward facing step, the resolved fluctuations obtained with the extended delayed-detached eddy simulation method are in better agreement with the experimental data than those of the delayed-detached eddy simulation computation. Finally, these two methods improve the description of the flow over the missile fin, predicting a fully separated flow. However, the extended delayed-detached eddy simulation ensures a faster development of instabilities than the delayed-detached eddy simulation and the agreement with the pressure distribution obtained with pressure sensitive paint is much better with the proposed modification of delayed-detached eddy simulation.

[1]  Eric Garnier,et al.  Turbulence modelling applied to space launcher configurations , 2002 .

[2]  Gary E. Erickson,et al.  Multiple vortex and shock interactions at subsonic, transonic, and supersonic speeds , 1990 .

[3]  Scott A. Morton,et al.  Detached-Eddy Simulations and Reynolds-Averaged Navier-Stokes Simulations of Delta Wing Vortical Flowfields , 2002 .

[4]  Pierre Sagaut,et al.  Multiscale And Multiresolution Approaches In Turbulence , 2006 .

[5]  Michael Breuer,et al.  Comparison of DES, RANS and LES for the separated flow around a flat plate at high incidence , 2003 .

[6]  I. Mary,et al.  Large eddy simulation of vortex breakdown behind a delta wing , 2003 .

[7]  Jinhee Jeong,et al.  On the identification of a vortex , 1995, Journal of Fluid Mechanics.

[8]  P. Spalart.  Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach , 1997 .

[9]  Sébastien Deck,et al.  Zonal Detached Eddy Simulation of a Controlled Propulsive Jet , 2007 .

[10]  A. Roshko,et al.  The compressible turbulent shear layer: an experimental study , 1988, Journal of Fluid Mechanics.

[11]  Paul E. Dimotakis,et al.  Experiments in nonreacting compressible shear layers , 1991 .

[12]  L. B. Schiff,et al.  Visualization and wake surveys of vortical flow over a delta wing , 1988 .

[13]  E. Polhamus.  A concept of the vortex lift of sharp-edge delta wings based on a leading-edge-suction analogy , 1966 .

[14]  Miguel R. Visbal,et al.  Higher-Order Compact Difference Scheme Applied to Low Sweep Delta Wing Flow , 2003 .

[15]  Florian R. Menter,et al.  A Scale-Adaptive Simulation Model for Turbulent Flow Predictions , 2003 .

[16]  Ismet Gursul,et al.  Review of Unsteady Vortex Flows over Slender Delta Wings , 2005 .

[17]  P. Sagaut,et al.  Unsteady Simulation of Synthetic Jet in a Crossflow , 2006 .

[18]  Martin Lowson,et al.  Development of a three-dimensional free shear layer , 1998, Journal of Fluid Mechanics.

[19]  Ali Abtahi,et al.  Three-dimensional vortex development breakdown, and control , 1989 .

[20]  Miguel R. Visbal,et al.  Compressibility effects on vortex breakdown onset above a 75-degree sweep delta wing , 1995 .

[21]  Scott A. Morton,et al.  Analysis of Delta-Wing Vortical Substructures Using Detached-Eddy Simulation , 2006 .

[22]  J. M. A. Longo.  Compressible Inviscid Vortex Flow of a Sharp Edge Delta Wing , 1995 .

[23]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[24]  S. Deck.  Numerical Simulation of Transonic Buffet over a Supercritical Airfoil , 2005 .

[25]  Ken Badcock,et al.  Comparison of DES and URANS for Unsteady Vortical Flows over Delta Wings , 2007 .

[26]  P. Welch.  The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms , 1967 .

[27]  Anthony M. Mitchell.  Caractérisation et contrôle de l'éclatement tourbillonnaire sur une aile delta aux hautes incidences , 2000 .

[28]  Sébastien Deck,et al.  A DES method applied to a Backward Facing Step reactive flow , 2009 .

[29]  R. C. Nelson,et al.  Experimental study of the velocity field on a delta wing , 1987 .

[30]  Pierre Sagaut,et al.  DNS/LES of Active Separation Control , 2006 .

[31]  E. Koschmieder.  Taylor vortices between eccentric cylinders , 1976 .

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

[33]  Gary E. Erickson,et al.  Experimental study of the vortex flow behavior on a generic fighter wing at subsonic and transonic speeds , 1987 .

[34]  F. Dupoirieux,et al.  Delayed Detached Eddy Simulation of a Premixed Methane Air Flame behind a Backward Facing Step B. Sainte-Rose N. Bertier † S. Deck ‡ , 2008 .

[35]  Philippe R. Spalart,et al.  Detached-Eddy Simulations Past a Circular Cylinder , 2000 .

[36]  S. Deck,et al.  Unsteadiness of an axisymmetric separating-reattaching flow : Numerical investigation , 2007 .

[37]  Michael V. Ol,et al.  Leading-Edge Vortex Structure of Nonslender Delta Wings at Low Reynolds Number , 2003 .

[38]  J. Délery.  Aspects of vortex breakdown , 1994 .

[39]  Kenneth D. Visser,et al.  Evolution of vortical structures in the shear-layer of delta wings , 1994 .

[40]  M. Visbal,et al.  Compact Difference Scheme Applied to Simulation of Low-Sweep Delta Wing Flow. , 2005 .

[41]  P. Roe.  Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[42]  Hamdy A. Kandil,et al.  Shock-vortex interaction over a 65-degree delta wing in transonic flow , 1993 .

[43]  Donald Rockwell,et al.  Instantaneous topology of the unsteady leading-edge vortex at high angle of attack , 1993 .

[44]  P. Spalart,et al.  A New Version of Detached-eddy Simulation, Resistant to Ambiguous Grid Densities , 2006 .

[45]  Stefan Görtz,et al.  Realistic simulations of delta wing aerodynamics using novel CFD methods , 2005 .

[46]  R. Gordnier,et al.  Computational study of a turbulent delta-wing flowfield using two-equation turbulence models , 1996 .

[47]  P. Moreau,et al.  Experimental and Numerical Study of a Turbulent Recirculation Zone with Combustion , 1987 .

[48]  Scott A. Morton,et al.  DES and RANS simulations of delta wing vortical flows , 2002 .

[49]  Marc Pechier,et al.  Prévisions numériques de l'effet Magnus pour des configurations de munitions , 1999 .

[50]  Pierre Sagaut,et al.  Numerical simulation of the compressible mixing layer past an axisymmetric trailing edge , 2007, Journal of Fluid Mechanics.

[51]  Donald Rockwell,et al.  Flow Structure on a Delta Wing of Low Sweep Angle , 2004 .

[52]  Ronald K. Hanson,et al.  EVOLUTION AND GROWTH OF LARGE SCALE STRUCTURES IN HIGH COMPRESSIBILITY MIXING LAYERS , 2001, Proceeding of Second Symposium on Turbulence and Shear Flow Phenomena.

[53]  M. Hall,et al.  A theory for the core of a leading-edge vortex , 1961, Journal of Fluid Mechanics.

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

[55]  Miguel R. Visbal,et al.  On the Structure of the Shear Layer Emanating from a Swept Leading Edge at Angle of Attack , 2003 .

[56]  L. Rossi,et al.  Investigation of wall normal electromagnetic actuator for seawater flow control , 2002 .

[57]  Henry Dol,et al.  Leading edge vortex flow computations and comparison with DNW-HST wind tunnel data , 2001 .

[58]  S. Goebel,et al.  EXPERIMENTAL STUDY OF COMPRESSIBLE TURBULENT MIXING LAYERS , 1991 .

[59]  Mohamed Elsayed,et al.  Particle Image Velocimetry Study of the Flow over a Slender Delta Wing , 2007 .

[60]  Sébastien Deck,et al.  Zonal-detached-eddy simulation of the flow around a high-lift configuration , 2005 .

[61]  Sébastien Deck,et al.  Delayed Detached Eddy Simulation of a Premixed Methan Air Flame behind a Backward Facing Step , 2008 .

[62]  Anthony Mitchell,et al.  Vortical Substructures in the Shear Layers Forming Leading-Edge Vortices , 2001 .

[63]  Hamdy A. Kandil,et al.  Supersonic vortex breakdown over a delta wing in transonic flow , 1993 .

[64]  Horia Hangan.  Current and Future Directions for Wind Research at Western: A New Quantum Leap in Wind Research through the Wind Engineering, Energy and Environment (WindEEE) Dome , 2010 .

[65]  W. J. Bannink,et al.  Surface Reflective Visualizations of Shock-Wave/Vortex Interactions Above a Delta Wing , 1997 .

[66]  Noel T. Clemens,et al.  Two- and three-dimensional effects in the supersonic mixing layer , 1990 .

[67]  Sébastien Deck,et al.  Delayed Detached-Eddy Simulation and Analysis of Supersonic Inlet Buzz , 2008 .

[68]  P. Sagaut,et al.  Numerical simulation of active separation control by a synthetic jet , 2007, Journal of Fluid Mechanics.

[69]  S. Görtz.  Detached-Eddy Simulations of a Full-Span Delta Wing at High Incidence , 2003 .

[70]  Li Jiang,et al.  Direct numerical simulation of three-dimensional flow around a delta wing , 2000 .

[71]  P. Sagaut,et al.  Large Eddy Simulation of Flow Around an Airfoil Near Stall , 2002 .

[72]  S. Deck,et al.  Development and application of Spalart–Allmaras one equation turbulence model to three-dimensional supersonic complex configurations , 2002 .

[73]  Jacques Riou,et al.  Control of the Flow over a Delta Wing in the Transonic Regime , 2010 .

[74]  C. W. Gear,et al.  Algorithm 407: DIFSUB for solution of ordinary differential equations [D2] , 1971, Commun. ACM.

[75]  Zvi Rusak,et al.  Prediction of Vortex Breakdown in Leading Edge Vortices Above Slender Delta Wings , 1998 .

[76]  W. J. Bannink,et al.  Surface Reflective Visualization System Study to Vortical Flow over Delta Wings , 1995 .

[77]  Stéphane Catris.  Étude de contraintes et qualification de modèles à viscosité turbulente , 1999 .

[78]  Noel T. Clemens,et al.  Large-scale structure and entrainment in the supersonic mixing layer , 1995, Journal of Fluid Mechanics.

[79]  Sutanu Sarkar,et al.  The stabilizing effect of compressibility in turbulent shear flow , 1994, Journal of Fluid Mechanics.

[80]  M. Ol,et al.  The passage toward stall of nonslender delta wings at low Reynolds number , 2001 .