Direct modelling of subgrid scales of turbulence in large eddy simulations

Subgrid scale (SGS) models for large eddy simulations of turbulent flows fall into two general categories. One category consists of the models that provide expressions for the SGS terms such as a stress tensor or a heat flux and usually employ eddy viscosity concepts. The other category models the unresolved primitive variables such as a velocity or a temperature and the SGS stresses are secondary quantities that are computed directly from the definitions. We discuss the fundamentals of the latter category of SGS models and review several specific approaches, including the defiltering or deconvolution procedures and various estimation models.

[1]  Hervé Jeanmart,et al.  On the modelling of the subgrid-scale and filtered-scale stress tensors in large-eddy simulation , 2001, Journal of Fluid Mechanics.

[2]  B. Geurts.  Inverse modeling for large-eddy simulation , 1997 .

[3]  Charles Meneveau,et al.  A fractal model for large eddy simulation of turbulent flow , 1999 .

[4]  J. Ferziger,et al.  A new non-eddy viscosity subgrid-scale model and its application to channel flow , 1995 .

[5]  L. Margolin,et al.  A rationale for implicit turbulence modelling , 2001 .

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

[7]  G. Vahala,et al.  A critical look at the use of filters in large eddy simulation , 1989 .

[8]  N. Adams,et al.  An approximate deconvolution procedure for large-eddy simulation , 1999 .

[9]  J. Domaradzki,et al.  The subgrid-scale estimation model in the physical space representation , 1999 .

[10]  E. Tadmor,et al.  Convergence of spectral methods for nonlinear conservation laws. Final report , 1989 .

[11]  B. Dubrulle,et al.  A dynamic subfilter-scale model for plane parallel flows , 2001 .

[12]  D. Pullin,et al.  A vortex-based subgrid stress model for large-eddy simulation , 1997 .

[13]  Steven A. Orszag,et al.  Local energy flux and subgrid-scale statistics in three-dimensional turbulence , 1998, Journal of Fluid Mechanics.

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

[15]  D. Pullin.  A vortex-based model for the subgrid flux of a passive scalar , 2000 .

[16]  P. Sagaut.  Large Eddy Simulation for Incompressible Flows , 2001 .

[17]  A. Leonard.  Energy Cascade in Large-Eddy Simulations of Turbulent Fluid Flows , 1975 .

[18]  James G. Brasseur,et al.  A resolvable subfilter-scale model specific to large-eddy simulation of under-resolved turbulence , 2001 .

[19]  Dynamic Estimation Tests of Decaying Isotropic Turbulence , 1999 .

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

[21]  T. Dubois,et al.  The subgrid-scale estimation model applied to large eddy simulations of compressible turbulence , 2002 .

[22]  G. Eyink.  The `Multifractal Model' of Turbulence and {\em A Priori} Estimates in Large-Eddy Simulation, I. Subgrid Flux and Locality of Energy Transfer , 1996, chao-dyn/9602018.

[23]  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.

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

[25]  P. Sagaut,et al.  A multilevel algorithm for large-Eddy simulation of turbulent compressible flows , 2001 .

[26]  J. Ferziger,et al.  Improved turbulence models based on large eddy simulation of homogeneous, incompressible, turbulent flows , 1983 .

[27]  B. Dubrulle,et al.  A New Dynamical Subgrid Model for the Planetary Surface Layer. Part II: Analytical Computation of Fluxes, Mean Profiles, and Variances , 2002 .

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

[29]  N. Adams,et al.  The approximate deconvolution model for large-eddy simulations of compressible flows and its application to shock-turbulent-boundary-layer interaction , 2001 .

[30]  C. Meneveau,et al.  Scale-Invariance and Turbulence Models for Large-Eddy Simulation , 2000 .

[31]  J. P. Boris,et al.  New insights into large eddy simulation , 1992 .

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

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

[34]  A. W. Vreman,et al.  Dynamic inverse modeling and its testing in large-eddy simulations of the mixing layer , 1999 .

[35]  Similarity modeling on an expanded mesh applied to rotating turbulence , 2001 .

[36]  A. Debussche,et al.  IC S THE NONLINEAR GALERKIN METHOD : A MULTI-SCALE METHOD APPLIED TO THE SIMULATION OF HOMOGENEOUS TURBULENT FLOWS , 2022 .

[37]  R.H.T. Bates,et al.  Image Restoration and Construction , 1986 .

[38]  R. Moser,et al.  Optimal LES formulations for isotropic turbulence , 1999, Journal of Fluid Mechanics.

[39]  George Em Karniadakis,et al.  A Spectral Vanishing Viscosity Method for Large-Eddy Simulations , 2000 .

[40]  J. Bowles,et al.  Fourier Analysis of Numerical Approximations of Hyperbolic Equations , 1987 .

[41]  Alan R. Kerstein,et al.  One-dimensional turbulence: vector formulation and application to free shear flows , 2001, Journal of Fluid Mechanics.

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

[43]  Tobias Voelkl,et al.  A physical-space version of the stretched-vortex subgrid-stress model for large-eddy simulation of incompressible flow , 2000 .

[44]  P. Sagaut,et al.  On the Use of Shock-Capturing Schemes for Large-Eddy Simulation , 1999 .

[45]  Ugo Piomelli,et al.  Large-eddy simulation: achievements and challenges , 1999 .

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

[47]  Charles Meneveau,et al.  Subgrid-scale stresses and their modelling in a turbulent plane wake , 1997, Journal of Fluid Mechanics.

[48]  D. I. Pullin,et al.  Reynolds stresses and one‐dimensional spectra for a vortex model of homogeneous anisotropic turbulence , 1994 .

[49]  Alan R. Kerstein,et al.  One-dimensional turbulence: model formulation and application to homogeneous turbulence, shear flows, and buoyant stratified flows , 1999, Journal of Fluid Mechanics.

[50]  S. Pope.  Turbulent Flows: FUNDAMENTALS , 2000 .

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

[52]  TLS - A new two level simulation methodology for high-Reynolds LES , 2002 .

[53]  P. Woodward,et al.  Inertial range structures in decaying compressible turbulent flows , 1998 .

[54]  The Role of Deconvolution and Numerical Discretization in Subgrid-Scale Modeling , 2001 .

[55]  P. H. Cittert.  Zum Einfluß der Spaltbreite auf die Intensitätsverteilung in Spektrallinien. II , 1930 .

[56]  B. Dubrulle,et al.  A New Dynamical Subgrid Model for the Planetary Surface Layer. Part I: The Model and A Priori Tests , 2002 .

[57]  S. Ghosal.  An Analysis of Numerical Errors in Large-Eddy Simulations of Turbulence , 1996 .

[58]  A. Louis.  Inverse und schlecht gestellte Probleme , 1989 .

[59]  E. C. Hylin,et al.  Chaotic Small-Scale Velocity Fields as Prospective Models for Unresolved Turbulence in an Additive Decomposition of the Navier-Stokes Equations , 1999 .

[60]  J. Domaradzki,et al.  Large eddy simulations of Rayleigh–Bénard convection using subgrid scale estimation model , 2000 .

[61]  J. A. Domaradzki,et al.  The subgrid-scale estimation model for high Reynolds number turbulence , 2000 .

[62]  R. Temam,et al.  Approximate inertial manifolds and effective viscosity in turbulent flows , 1991 .

[63]  E. Saiki,et al.  A subgrid-scale model based on the estimation of unresolved scales of turbulence , 1997 .