Significance of computational spanwise domain length on LES for the flowfield with large vortex structure

In this study, the effects of the computational spanwise domain length on the flowfield with massive separation and on the flowfield with dynamic stall are investigated by largeeddy simulation. The objective airfoil is NACA0012 and the chord-based Reynolds number is of 2.56× 10. The objective flowfields are that around a fixed angle of attack of 10 and 25 degrees, and that around a pitching airfoil between AoA of 5 degrees and 25 degrees. The spanwise length effect become significant after the stall, as observed as the attenuation of the large vortices. Observations of the flowfield clarified that the undulation of two large vortices from the leading edge and the trailing edge is one of the mechanisms for the spanwise length effects. The qualitative analysis for this mechanism is performed to address the sufficient spanwise length, and the spanwise length have to be at least 1.0c for the flowfield with large vortex structures so as to resolve its spanwise distribution.

[1]  Miguel R. Visbal,et al.  Control of Dynamic Stall on a Pitching Airfoil Using High-Frequency Actuation , 2015 .

[2]  Sheila E. Widnall,et al.  The Structure and Dynamics of Vortex Filaments , 1975 .

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

[4]  Soshi Kawai,et al.  Compact Scheme with Filtering for Large-Eddy Simulation of Transitional Boundary Layer , 2008 .

[5]  Kozo Fujii,et al.  Scalar Tuning of a Fluid Solver using Compact Scheme for a Supercomputer with a Distributed Memory Architecture , 2013 .

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

[8]  F. Laporte,et al.  Direct numerical simulations of the elliptic instability of a vortex pair , 2000 .

[9]  Subrata Roy,et al.  Enhancement of Lift and Drag Characteristics of an Oscillating Airfoil in Deep Dynamic Stall Using Plasma Actuation , 2012 .

[10]  Taku Nonomura,et al.  ADI-SGS scheme on ideal magnetohydrodynamics , 2009, J. Comput. Phys..

[11]  S. Crow Stability theory for a pair of trailing vortices , 1970 .

[12]  Shigeya Watanabe,et al.  Lift Enhancement of a Pitching Airfoil in Dynamic Stall by DBD Plasma Actuators , 2013 .

[13]  Miguel R. Visbal,et al.  Analysis of the Onset of Dynamic Stall Using High-Fidelity Large-Eddy Simulations , 2014 .

[14]  M. Visbal,et al.  Large-eddy simulation on general geometries using compact differencing and filtering schemes , 2002 .

[15]  K. Fujii,et al.  Effects of Burst Frequency and Momentum Coefficient of DBD Actuator on Control of Deep-stall Flow around NACA0015 at Rec=2.6x10^{5} , 2014 .

[16]  E. Valero,et al.  DES/DDES post-stall study with iced airfoil , 2011 .

[17]  N. Sandham,et al.  Intermittent bursting of a laminar separation bubble on an airfoil , 2010 .

[18]  Hiroshi Endo,et al.  Activities of computational fluid dynamics in Japan: compressible flow simulations , 1992 .

[19]  Weihao Zhang,et al.  Effects of freestream turbulence on separated boundary layer in a low-Re high-lift LP turbine blade , 2015 .

[20]  R. Samtaney,et al.  Assessment of spanwise domain size effect on the transitional flow past an airfoil , 2016 .

[21]  Miguel R. Visbal,et al.  Computation of aeroacoustic fields on general geometries using compact differencing and filtering schemes , 1999 .

[22]  Shigeru Obayashi,et al.  High-resolution upwind scheme for vortical-flow simulations , 1989 .

[23]  Jochen Fröhlich,et al.  Lessons from LESFOIL Project on Large-Eddy Simulation of Flow Around an Airfoil , 2003 .

[24]  J. Bons,et al.  Three-dimensional Instabilities in Vortex/Wall Interactions: Linear Stability and Flow Control , 2014 .

[25]  L. Carr Progress in analysis and prediction of dynamic stall , 1988 .

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

[27]  Koen Hillewaert,et al.  Cross-Validation of Numerical and Experimental Studies of Transitional Airfoil Performance , 2015 .

[28]  Rodney D. W. Bowersox,et al.  Leading-Edge Flow Structure of a Dynamically Pitching NACA 0012 Airfoil , 2013 .