A new very large eddy simulation model for simulation of turbulent flow

Among various hybrid RANS/LES methodologies, Speziale’s Very Large Eddy Simulation (VLES) is one that was early proposed and is a unified simulation approach that can change seamlessly from RANS to DNS depending on the numerical resolution. The present study proposes a new improved variant of the original VLES model. The advantages are achieved in two ways: (1) RANS simulation can be recovered near the wall which is similar to the Detached Eddy Simulation (DES) concept; (2) An LES subgrid scale model can be reached by the introduction of a third length scale, i.e. integral turbulence length scale. Thus the new model can provide a proper LES mode between the RANS and DNS limits. This new methodology is implemented in the standard k − e model and Wilcox’s k − ω model. Applications are conducted for the turbulent channel flow at Re τ = 395 and turbulent flow past a square cylinder at Re = 22000. Results are compared with previous studies. It is demonstrated that the new method is quite effective in resolving the large flow structures, and can give satisfactory predictions on a very coarse mesh.

[1]  Nan-Suey Liu,et al.  Turbulence modeling for very large-eddy simulation , 2006 .

[2]  Leonard J. Peltier,et al.  Maintenance of the Near-Wall Cycle of Turbulence for Hybrid RANS/LES of Fully-Developed Channel Flow , 2001 .

[3]  Christopher J. Roy,et al.  Evaluation of Detached Eddy Simulation for Turbulent Wake Applications , 2005 .

[4]  H. Fasel,et al.  Application of a new methodology for simulations of complex turbulent flows , 2000 .

[5]  Pierre Sagaut,et al.  A study of built-in filter for some eddy-viscosity models in large-eddy simulation , 2001 .

[6]  F. Toschi,et al.  Acceleration and vortex filaments in turbulence , 2005, nlin/0501041.

[7]  John Kim,et al.  DIRECT NUMERICAL SIMULATION OF TURBULENT CHANNEL FLOWS UP TO RE=590 , 1999 .

[8]  F. Nicoud,et al.  Subgrid-Scale Stress Modelling Based on the Square of the Velocity Gradient Tensor , 1999 .

[9]  Wei Shyy,et al.  Filter-based unsteady RANS computations , 2004 .

[10]  D. Wilcox.  Turbulence modeling for CFD , 1993 .

[11]  L. Davidson,et al.  Large Eddy Simulation of Flow Past a Square Cylinder: Comparison of Different Subgrid Scale Models , 2000 .

[12]  Erik Dick,et al.  Hybrid RANS/LES modelling with an approximate renormalization group. I: Model development , 2005 .

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

[14]  Manuel V. Heitor,et al.  Measurements of turbulent and periodic flows around a square cross-section cylinder , 1988 .

[15]  Sukumar Chakravarthy,et al.  Interfacing Statistical Turbulence Closures with Large-Eddy Simulation , 2004 .

[16]  Daniel Morris Israel.  A New Approach for Turbulent Simulations in Complex Geometries , 2005 .

[17]  S. C. Luo,et al.  Effects of incidence and afterbody shape on flow past bluff cylinders , 1994 .

[18]  E. Dick,et al.  Hybrid RANS/LES modelling with an approximate renormalization group. II: Applications , 2005 .

[19]  C. G. Speziale.  Turbulence modeling for time-dependent RANS and VLES : a review , 1998 .

[20]  Shmuel Einav,et al.  A laser-Doppler velocimetry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder , 1995, Journal of Fluid Mechanics.

[21]  Fue-Sang Lien,et al.  Towards a Unified Turbulence Simulation Approach for Wall-Bounded Flows , 2010 .

[22]  Hermann F. Fasel,et al.  A Methodology for Simulations of Complex Turbulent Flows , 2002 .