A subgrid-scale model for large-eddy simulation based on the physics of interscale energy transfer in turbulence

The scale-similarity model in large-eddy simulation (LES) leads to an attractive, functionally simple expression for the subgrid-scale (SGS) stress tensor. It is well known, however, that the similarity model fails to accurately predict some of the most fundamental quantities in turbulent flows, perhaps the most important being the global energy transfer and the associated subgrid-scale dissipation. To address this, additional dissipative terms are usually added to the similarity model to improve its performance. In the present paper, considerations of interscale energy transfer have been used to identify sources of the observed deficiencies of the similarity model, specifically its inadequate balancing of terms contributing energy to the smallest scales and its duplication of terms producing effects in the largest scales. These considerations provide guidance in the development of a new model, which shows more favorable characteristics of energy transfer while preserving the functional simplicity of the ...

[1]  J. Jiménez,et al.  Direct numerical simulation of the very large anisotropic scales in a turbulent channel , 2013, 1309.2322.

[2]  Krishnan Mahesh,et al.  Reduction of the Germano-identity error in the dynamic Smagorinsky model , 2009 .

[3]  J. A. Domaradzki,et al.  Large eddy simulations using truncated Navier–Stokes equations with the automatic filtering criterion , 2008 .

[4]  J. A. Domaradzki,et al.  Truncated Navier–Stokes equations with the automatic filtering criterion: Reynolds stress and energy budgets , 2008 .

[5]  T. Hughes,et al.  Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows , 2007 .

[6]  D. Carati,et al.  A comparison of spectral sharp and smooth filters in the analysis of nonlinear interactions and energy transfer in turbulence , 2007 .

[7]  Hervé Jeanmart,et al.  Investigation of eddy-viscosity models modified using discrete filters : A simplified regularized variational multiscale model and an enhanced field model , 2007 .

[8]  S. Chumakov.  Statistics of subgrid-scale stress states in homogeneous isotropic turbulence , 2006, Journal of Fluid Mechanics.

[9]  Javier Jiménez,et al.  Scaling of the energy spectra of turbulent channels , 2003, Journal of Fluid Mechanics.

[10]  A. W. Vreman.  The filtering analog of the variational multiscale method in large-eddy simulation , 2003 .

[11]  Javier Jiménez,et al.  Spectra of the very large anisotropic scales in turbulent channels , 2003 .

[12]  Darryl D. Holm,et al.  Regularization modeling for large-eddy simulation , 2002, nlin/0206026.

[13]  Thomas J. R. Hughes,et al.  Large eddy simulation of turbulent channel flows by the variational multiscale method , 2001 .

[14]  Hervé Jeanmart,et al.  Explicit-filtering large-eddy simulation using the tensor-diffusivity model supplemented by a dynami , 2001 .

[15]  N. Adams,et al.  An approximate deconvolution model for large-eddy simulation with application to incompressible wall-bounded flows , 2001 .

[16]  Thomas J. R. Hughes,et al.  The multiscale formulation of large eddy simulation: Decay of homogeneous isotropic turbulence , 2001 .

[17]  J. Domaradzki,et al.  The subgrid-scale estimation model on nonuniform grids , 1999 .

[18]  K. Horiuti.  A new dynamic two-parameter mixed model for large-eddy simulation , 1997 .

[19]  B. Geurts,et al.  Large-eddy simulation of the turbulent mixing layer , 1997, Journal of Fluid Mechanics.

[20]  A. Cook.  Determination of the constant coefficient in scale similarity models of turbulence , 1997 .

[21]  A. Leonard,et al.  Large-eddy simulation of chaotic convection and beyond , 1997 .

[22]  Grégoire Winckelmans,et al.  A priori testing of subgrid-scale models for the velocity-pressure and vorticity-velocity formulations , 1996 .

[23]  G. Winckelmans.  Some Progress in Large-Eddy Simulation using the 3-D Vortex Particle Method , 1995 .

[24]  T. Lund,et al.  A family of dynamic models for large-eddy simulation , 1995 .

[25]  Maria Vittoria Salvetti,et al.  A Priori Tests of a New Dynamic Subgrid-Scale Model for Finite-Difference Large-Eddy Simulations , 1995 .

[26]  W. Liu,et al.  Approximation of subgrid‐scale energy transfer based on the dynamics of resolved scales of turbulence , 1995 .

[27]  C. Meneveau,et al.  On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet , 1994, Journal of Fluid Mechanics.

[28]  Wei Liu,et al.  Energy transfer in numerically simulated wall‐bounded turbulent flows , 1994 .

[29]  Wei Liu,et al.  An analysis of subgrid-scale interactions in numerically simulated isotropic turbulence , 1993 .

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

[31]  Ye Zhou.  Degrees of locality of energy transfer in the inertial range. [Kolmogoroff notion in turbulence theory] , 1993 .

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

[33]  J. Brasseur,et al.  THE RESPONSE OF ISOTROPIC TURBULENCE TO ISOTROPIC AND ANISOTROPIC FORCING AT THE LARGE SCALES , 1991 .

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

[35]  J. Andrzej Domaradzki,et al.  Local energy transfer and nonlocal interactions in homogeneous, isotropic turbulence , 1990 .

[36]  R. Rogallo,et al.  Energy transfer in isotropic turbulence at low Reynolds numbers , 1988 .

[37]  M. Germano.  Differential filters for the large eddy numerical simulation of turbulent flows , 1986 .

[38]  C. G. Speziale.  Galilean invariance of subgrid-scale stress models in the large-eddy simulation of turbulence , 1985, Journal of Fluid Mechanics.

[39]  P. Moin,et al.  Numerical investigation of turbulent channel flow , 1981, Journal of Fluid Mechanics.

[40]  J. Ferziger,et al.  Improved subgrid-scale models for large-eddy simulation , 1980 .

[41]  J. Deardorff.  Stratocumulus-capped mixed layers derived from a three-dimensional model , 1980 .

[42]  J. Ferziger,et al.  Evaluation of subgrid-scale models using an accurately simulated turbulent flow , 1979, Journal of Fluid Mechanics.

[43]  J. Deardorff.  A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers , 1970, Journal of Fluid Mechanics.

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

[45]  G. Batchelor,et al.  The theory of homogeneous turbulence , 1954 .

[46]  Jung Yul Yoo,et al.  Toward improved consistency of a priori tests with a posteriori tests in large eddy simulation , 2005 .

[47]  Jan S. Hesthaven,et al.  A spectral multidomain penalty method model for the simulation of high Reynolds number localized incompressible stratified turbulence , 2005 .

[48]  Grégoire Winckelmans,et al.  A Tensor-Diffusivity Subgrid Model for Large-Eddy Simulation , 1999 .

[49]  O. Vasilyev,et al.  Testing of a new mixed model for LES: the Leonard model supplemented by dynamic Smagorinsky term , 1998 .

[50]  Robert McDougall Kerr,et al.  Small‐scale properties of nonlinear interactions and subgrid‐scale energy transfer in isotropic turbulence , 1996 .

[51]  K. Horiuti,et al.  A proper velocity scale for modeling subgrid-scale eddy viscosities in large eddy simulation , 1993 .

[52]  M. Y. Hussaini,et al.  Theoretical and Computational Fluid Dynamics Large-eddy Simulation of the Temporal Mixing Layer Using the Clark Model , 2022 .