Large-Eddy Simulation of a Wing Tip Vortex on Overset Grids

A multiblock large-eddy simulation (LES) code with overset grid capability is reported on that has been developed primarily to study the tip vortex noise problem arising on rotating wind-turbine blades. The LES code can also be used to simulate the tip vortices around nonrotating wing geometries typically found in aeronautical applications. It employs state-of-the-art compact finite differencing, implicit spatial filtering, and nonreflecting boundary conditions on free boundaries, as well as characteristic-type boundary conditions on solid walls. High-order-accurate interpolation is used for the transfer of information among the individual component grids that make up the overset grid topology. The multiblock nature and the overset grid capability of the code allow high-order accurate numerical solutions in complex domains. Results for the tip vortex around a nonrotating wing with a rounded tip are presented to demonstrate the capability of the code. Comparisons of the numerical results with experimental data are also carried out.

[1]  P. Moin,et al.  Effects of the Computational Time Step on Numerical Solutions of Turbulent Flow , 1994 .

[2]  Thomas H. Pulliam,et al.  Artificial Dissipation Models for the Euler Equations , 1985 .

[3]  P. Moin,et al.  Suitability of upwind-biased finite difference schemes for large-eddy simulation of turbulent flows , 1997 .

[4]  John A. Ekaterinaris,et al.  Regular Article: Implicit, High-Resolution, Compact Schemes for Gas Dynamics and Aeroacoustics , 1999 .

[5]  A. Lyrintzis,et al.  Coupling of Integral Acoustics Methods with LES for Jet Noise Prediction , 2004 .

[6]  J. Lumley,et al.  A First Course in Turbulence , 1972 .

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

[8]  Shin Rhee,et al.  Prediction of Tip-Vortex Flow Past a Finite Wing , 2005 .

[9]  Miguel R. Visbal,et al.  Large-Eddy Simulation on Curvilinear Grids Using Compact Differencing and Filtering Schemes , 2002 .

[10]  M. Visbal VERY HIGH-ORDER SPATIALLY IMPLICIT SCHEMES FOR COMPUTATIONAL ACOUSTICS ON CURVILINEAR MESHES , 2001 .

[11]  M. Yousuff Hussaini,et al.  Investigation of high frequency noise generation in the near-nozzle region of a jet using large eddy simulation , 2007 .

[12]  D. Gaitonde,et al.  Pade-Type Higher-Order Boundary Filters for the Navier-Stokes Equations , 2000 .

[13]  J L Steger,et al.  Chimera. A Grid-Embedding Technique , 1986 .

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

[15]  S. Sherer,et al.  Investigation of high-order and optimized interpolation methods with implementation in a high-order overset grid fluid dynamics solver / , 2002 .

[16]  Philip E. Morgan,et al.  An Implicit LES Approach Based on High-order Compact Differencing and Filtering Schemes (Invited) , 2003 .

[17]  C. Bogey Three-dimensional non-refrective boundary conditions for acoustic simulation : far field formulation and validation test cases , 2002 .

[18]  Chaoqun Liu,et al.  High-Order LES for Wing Tip Vortex in the Near Field , 2005 .

[19]  Ali Uzun,et al.  Noise Generation in the Near-Nozzle Region of a Chevron Nozzle Jet Flow , 2007 .

[20]  Anastasios S. Lyrintzis,et al.  Application of Compact Schemes to Large Eddy Simulation of Turbulent Jets , 2004, J. Sci. Comput..

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

[22]  Mehdi R. Khorrami,et al.  Detailed measurements of a flap side-edge flow field , 1998 .

[23]  R. F. Warming,et al.  An Implicit Factored Scheme for the Compressible Navier-Stokes Equations , 1977 .

[24]  Christophe Bailly,et al.  Decrease of the Effective Reynolds Number with Eddy-Viscosity Subgrid-Scale Modeling , 2005 .

[25]  Graham Ashcroft,et al.  Optimized prefactored compact schemes , 2003 .

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

[27]  Makoto Iida,et al.  Wind Turbine Blade Tip Flow and Noise Prediction by Large-eddy Simulation , 2004 .

[28]  Mehdi R. Khorrami,et al.  Reynolds-averaged Navier-Stokes computations of a flap-side-edge flowfield , 1999 .

[29]  K. Mcalister,et al.  NACA 0015 Wing Pressure and Trailing Vortex Measurements , 1991 .

[30]  Makoto Iida,et al.  WIND TURBINE FLOW AND NOISE PREDICTION BY LARGE EDDY SIMULATION , 2005 .

[31]  Rajat Mittal,et al.  Study of Tip-Vortex Formation Using Large-Eddy Simulation , 2005 .

[32]  Scott E. Sherer,et al.  High-order compact finite-difference methods on general overset grids , 2005 .

[33]  Duck-Joo Lee,et al.  Generalized Characteristic Boundary Conditions for Computational Aeroacoustics, Part 2 , 2000 .

[34]  Kelly R. Laflin,et al.  REYNOLDS-AVERAGED NAVIER-STOKES SIMULATIONS OF TWO PARTIAL-SPAN FLAP WING EXPERIMENTS , 1998 .

[35]  C. Tam,et al.  RADIATION AND OUTFLOW BOUNDARY CONDITIONS FOR DIRECT COMPUTATION OF ACOUSTIC AND FLOW DISTURBANCES IN A NONUNIFORM MEAN FLOW , 1996 .

[36]  A. Lyrintzis,et al.  3-D large eddy simulation for jet aeroacoustics , 2003 .

[37]  F. Farassat,et al.  An Analytical Comparison of the Acoustic Analogy and Kirchhoff Formulation for Moving Surfaces , 1997 .

[38]  S. Lele Compact finite difference schemes with spectral-like resolution , 1992 .

[39]  Kazuomi Yamamoto,et al.  Numerical Simulation of NACA0012 Wingtip Flow Leading to Noise Generation , 2005 .