Large-eddy simulation of separated flow over a bluff rectangular plate

Abstract The turbulent separated-reattaching flow over a bluff rectangular plate is investigated using the large-eddy simulation (LES) technique. Simulations are presented for a Reynolds number (Red) of 50,000 and a blockage ratio (Br) of 5.6%. Three subgrid-scale models are used: structure function, selective structure function and Smagorinsky models. The performance of these models is examined by comparing the mean flow and turbulence statistics, and the dynamics of the flow with experimental observations. With both structure-function and Smagorinsky models, the break-up and three-dimensionalization of the separated shear layer are delayed. The dynamics of the reattaching flow is altered by the persistence of small-scale structures in the Smagorinsky model simulation, while excessive subgrid-scale dissipation is evident in the structure function simulation. Both models yield deficient mean flow structures and turbulence statistics. The selective version of the structure function model, which allows a localization of the subgrid-scale contribution, produces separated shear layer instabilities, dynamical patterns, and structures which are physically consistent with flow visualization. The mean flow and turbulent statistics obtained with this model are also found to be in excellent agreement with measurements. Using structure identification techniques based on the vorticity modulus |ω| and the eigenvalue λ2 of the tensor S ik S kj +Ω ik Ω kj , horseshoe vortices hypothesized in earlier experimental work are clearly identified in the reattachment region. Wavelet signal analysis reveals the persistence of scales associated with shear layer flapping and the intermittent nature of the pseudo-periodic shedding of vortices in the reattachment region.

[1]  Fazle Hussain,et al.  Coherent structures near the wall in a turbulent channel flow , 1997, Journal of Fluid Mechanics.

[2]  Ned Djilali,et al.  Turbulent Flow Around a Bluff Rectangular Plate. Part I: Experimental Investigation , 1991 .

[3]  Marie Farge,et al.  Wavelet transform and their application to turbulence , 1992 .

[4]  K. Sasaki,et al.  Structure of a turbulent separation bubble , 1983, Journal of Fluid Mechanics.

[5]  Ned Djilali,et al.  Turbulent Flow Around a Bluff Rectangular Plate. Part II: Numerical Predictions , 1991 .

[6]  M. Farge Wavelet Transforms and their Applications to Turbulence , 1992 .

[7]  A. Suksangpanomrung Investigation of unsteady separated flow and heat transfer using direct and large eddy simulations , 1999 .

[8]  Marcel Lesieur,et al.  A numerical investigation of the coherent vortices in turbulence behind a backward-facing step , 1993, Journal of Fluid Mechanics.

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

[10]  N. J. Cherry,et al.  The unsteady structure of two-dimensional separated-and-reattaching flows , 1983 .

[11]  P. Moin,et al.  Direct numerical simulation of turbulent flow over a backward-facing step , 1997, Journal of Fluid Mechanics.

[12]  P. J. Mason,et al.  On the magnitude of the subgrid-scale eddy coefficient in large-eddy simulations of turbulent channel flow , 1986, Journal of Fluid Mechanics.

[13]  Toshio Kobayashi,et al.  Large eddy simulation of flow around a rectangular cylinder , 1997 .

[14]  Kyuro Sasaki,et al.  Structure of large-scale vortices and unsteady reverse flow in the reattaching zone of a turbulent separation bubble , 1985, Journal of Fluid Mechanics.

[15]  W. H. Melbourne,et al.  Effects of free-stream turbulence on surface pressure fluctuations in a separation bubble , 1997, Journal of Fluid Mechanics.

[16]  N. J. Cherry,et al.  The effects of stream turbulence on separation bubbles , 1981 .

[17]  M. Lesieur,et al.  New Trends in Large-Eddy Simulations of Turbulence , 1996 .