Study of discrete test filters and finite difference approximations for the dynamic subgrid‐scale stress model

This paper investigates the effects of discrete test filters and finite‐difference approximations for large‐eddy simulations using the dynamic subgrid‐scale stress model. Discrete explicit test filters based on finite‐difference formulations have been constructed and the characteristics of their transfer function are studied. Several definitions of the scaling factor are investigated in the context of the discrete test filters. Two test filters, one based on a discrete representation of the top‐hat filter (A), and another based on a high‐order filtering operation (C) are evaluated in simulations of the turbulent channel flow at Reτ=180. It is found that filter A calculates a higher turbulent viscosity than filter C, which behaves more like a cutoff filter. For the same test filtering operation, the results are found to be sensitive to the ratio of the characteristic lengths of the test and grid filters. By testing two approximations to the convection terms based on second‐order central difference and a no...

[1]  J. B. Scarborough.  Numerical Mathematical Analysis , 1931 .

[2]  U. Piomelli.  High Reynolds number calculations using the dynamic subgrid‐scale stress model , 1993 .

[3]  A. Yakhot,et al.  Renormalization group formulation of large-eddy simulations , 1989 .

[4]  D. Lilly,et al.  A proposed modification of the Germano subgrid‐scale closure method , 1992 .

[5]  A. Chorin.  A Numerical Method for Solving Incompressible Viscous Flow Problems , 1997 .

[6]  P. Moin,et al.  Turbulence statistics in fully developed channel flow at low Reynolds number , 1987, Journal of Fluid Mechanics.

[7]  P. Moin,et al.  A dynamic localization model for large-eddy simulation of turbulent flows , 1995, Journal of Fluid Mechanics.

[8]  Ugo Piomelli,et al.  Large-eddy simulation of rotating channel flows using a localized dynamic model , 1995 .

[9]  Elias Balaras,et al.  Finite-difference computations of high reynolds number flows using the dynamic subgrid-scale model , 1995 .

[10]  M. Germano,et al.  Turbulence: the filtering approach , 1992, Journal of Fluid Mechanics.

[11]  J. Koseff,et al.  A dynamic mixed subgrid‐scale model and its application to turbulent recirculating flows , 1993 .

[12]  Parviz Moin,et al.  An improvement of fractional step methods for the incompressible Navier-Stokes equations , 1991 .

[13]  F. Harlow,et al.  Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface , 1965 .

[14]  S. Ragab,et al.  On the Unsteady and Turbulent Characteristics of the Three-Dimensional Shear-Driven Cavity Flow , 1994 .

[15]  P. Moin,et al.  A dynamic subgrid‐scale eddy viscosity model , 1990 .

[16]  Dynamic localization and second-order subgrid-scale models in large eddy simulations of channel flow , 1993 .

[17]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[18]  P. Moin,et al.  Numerical Simulation of Turbulent Flows , 1984 .

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

[20]  J. Arsac,et al.  Fourier Transforms and the Theory of Distributions , 1968 .

[21]  Parviz Moin,et al.  On the numerical solution of time-dependent viscous incompressible fluid flows involving solid boundaries , 1980 .

[22]  Charles Meneveau,et al.  Generalized Smagorinsky model for anisotropic grids , 1993 .

[23]  Parviz Moin,et al.  Direct simulations of turbulent flow using finite-difference schemes , 1991 .

[24]  Gregory A. Blaisdell,et al.  Evaluation of the dynamic subgrid-scale model for large eddy simulations of compressible turbulent flows , 1995 .

[25]  P. Moin,et al.  Subgrid-scale backscatter in turbulent and transitional flows , 1991 .

[26]  Akira Yoshizawa,et al.  Subgrid-scale modeling with a variable length scale , 1989 .