Numerical Simulation of the Effects of Spanwise Blowing on Wing-tip Vortex Formation and Evolution

A high resolution computational methodology is developed for the solution of the compressible Reynolds-averaged Navier-Stokes equations. This methodology is used to study the effect of spanwise blowing as a method of tip vortex control. The numerical error is reduced by using high order accurate schemes on appropriately refined meshes. For vortex evolution problems, the equations are solved on multiple overset grids that ensure adequate resolution in an efficient manner. Reliable validation of the mean flowfield for the baseline and control configurations is obtained by adding a simple correction to the production term in the Spalart-Allmaras turbulence model. A detailed study of the underlying physics of the effects of spanwise blowing is presented.

[1]  Karthikeyan Duraisamy,et al.  Studies in Tip Vortex Formation, Evolution and Control , 2005 .

[2]  J. Gordon Leishman,et al.  High Resolution Trailing Vortex Measurements In The Wake Of A Hovering Rotor , 2001 .

[3]  J. Baeder,et al.  TURNS - A free-wake Euler/Navier-Stokes numerical method for helicopter rotors , 1993 .

[4]  P. Spalart A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[5]  Laurent Jacquin,et al.  On the persistence of trailing vortices , 2002, Journal of Fluid Mechanics.

[6]  Mahinder S. Uberoi Mechanisms of Decay of Laminar and Turbulent Vortices. , 1979 .

[7]  James D. Baeder,et al.  Vortex Tracking in Overset Method for Quad Tilt Rotor Blade Vortex Interaction , 2003 .

[8]  Brian E. Wake,et al.  Recent rotor wake simulation and modeling studies at United Technologies Corporation , 2000 .

[9]  Suad Jakirlić,et al.  Modeling Rotating and Swirling Turbulent Flows: A Perpetual Challenge , 2002 .

[10]  U. Piomelli,et al.  Wall-layer models for large-eddy simulations , 2008 .

[11]  Peter Bradshaw,et al.  Turbulence Measurements in the Near Field of a Wingtip Vortex , 1997 .

[12]  D. Lockard,et al.  Wing-Tip Vortex Calculations Using a High-Accuracy Scheme , 1998 .

[13]  G. Batchelor,et al.  Axial flow in trailing line vortices , 1964, Journal of Fluid Mechanics.

[14]  W. Devenport,et al.  The structure and development of a wing-tip vortex , 1996, Journal of Fluid Mechanics.

[15]  H. Huynh,et al.  Accurate monotone cubic interpolation , 1993 .

[16]  Robert E. Spall,et al.  Numerical Study of a Wing-Tip Vortex Using the Euler Equations , 2001 .

[17]  Brian E. Wake,et al.  Investigation of high-order upwinded differencing for vortex convection , 1995 .

[18]  S. Ragab,et al.  Numerical simulation of vortices with axial velocity deficits , 1995 .

[19]  Philippe R. Spalart,et al.  Trends in turbulence treatments , 2000 .

[20]  N. Mansour Computation of the tip vortex off a low-aspect-ratio wing , 1985 .

[21]  Dochan Kwak,et al.  On numerical errors and turbulence modeling in tip vortex flow prediction , 1999 .

[22]  Lakshmi N. Sankar,et al.  High-Order Essentially Nonoscillatory Schemes for Rotary-Wing Wake Computations , 2004 .

[23]  T. Gatski,et al.  On explicit algebraic stress models for complex turbulent flows , 1992, Journal of Fluid Mechanics.

[24]  L. Jacquin,et al.  Viscous instabilities in trailing vortices at large swirl numbers , 2004, Journal of Fluid Mechanics.

[25]  Chi-Wang Shu,et al.  High order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD , 2001 .

[26]  Chi-Wang Shu Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws , 1998 .

[27]  Numerical simulations of a turbulent axial vortex , 1998 .

[28]  N. N. Mansour,et al.  Numerical Simulation of the Tip Vortex Off a Low-Aspect-Ratio Wing at Transonic Speed , 1984 .

[29]  J. Dacles-Mariani,et al.  Numerical/experimental study of a wingtip vortex in the near field , 1995 .

[30]  C. Hirsch,et al.  Numerical Computation of Internal and External Flows. By C. HIRSCH. Wiley. Vol. 1, Fundamentals of Numerical Discretization. 1988. 515 pp. £60. Vol. 2, Computational Methods for Inviscid and Viscous Flows. 1990, 691 pp. £65. , 1991, Journal of Fluid Mechanics.

[31]  Andrew L. Heyes,et al.  Spatial perturbation of a wing-tip vortex using pulsed span-wise jets , 2004 .

[32]  J. Steinhoff,et al.  Computation of vortex formation over ELAC-1 configuration using vorticity confinement , 1995 .

[33]  Lyle N. Long,et al.  High-Order Accurate Simulations of Wake and Tip Vortex Flowfields , 1999 .

[34]  P. Moin,et al.  DIRECT NUMERICAL SIMULATION: A Tool in Turbulence Research , 1998 .

[35]  J. Baeder,et al.  Numerical simulation of tip vortices of wings in subsonic and transonic flows , 1988 .

[36]  John A. Ekaterinaris,et al.  High-order accurate, low numerical diffusion methods for aerodynamics , 2005 .

[37]  Miguel R. Visbal,et al.  On the use of higher-order finite-difference schemes on curvilinear and deforming meshes , 2002 .

[38]  C. S. Lee,et al.  Flow structure and scaling laws in lateral wing-tip blowing , 1989 .