Temporal large-eddy simulation: theory and implementation

Large-eddy simulation (LES) has relied almost exclusively on spatial filtering to separate resolved and unresolved scales. For many reasons, temporal filtering may be more natural, particularly for flows of engineering interest. The paper develops the theory of temporal LES (TLES) and provides a demonstration of the concept by simulations of viscous Burger’s flow and incompressible plane-channel flow. The latter is accomplished by adapting the approximate deconvolution model (ADM) of Stolz and Adams (Phys. Fluids 11:1699, 1999) to causal, time-domain filtering. The temporal variant of the ADM is termed the TADM.

[1]  C. G. Speziale.  Subgrid scale stress models for the large-eddy simulation of rotating turbulent flows , 1985 .

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

[3]  Á. Aldama.  Filtering Techniques for Turbulent Flow Simulation , 1990 .

[4]  Neil D. Sandham,et al.  The late stages of transition to turbulence in channel flow , 1992, Journal of Fluid Mechanics.

[5]  C. D. Pruett,et al.  Toward the De-Mystification of LES , 2001 .

[6]  C. G. Speziale.  On the decomposition of turbulent flow fields for the analysis of coherent structures , 1987 .

[7]  Keith W. Bedford,et al.  IMPROVED AVERAGING METHOD FOR TURBULENT FLOW SIMULATION. PART I: THEORETICAL DEVELOPMENT AND APPLICATION TO BURGERS' TRANSPORT EQUATION , 1986 .

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

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

[10]  J. Sochacki,et al.  On Taylor-series expansions of residual stress , 2001 .

[11]  Thomas B. Gatski,et al.  The temporally filtered Navier–Stokes equations: Properties of the residual stress , 2003 .

[12]  Stephen B. Pope,et al.  An examination of forcing in direct numerical simulations of turbulence , 1988 .

[13]  O. Marxen,et al.  Steady solutions of the Navier-Stokes equations by selective frequency damping , 2006 .

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

[15]  C. Meneveau,et al.  A Lagrangian dynamic subgrid-scale model of turbulence , 1994, Journal of Fluid Mechanics.

[16]  Robert D. Strum,et al.  First principles of discrete systems and digital signal processing , 1988 .

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

[18]  P. Moin,et al.  A General Class of Commutative Filters for LES in Complex Geometries , 1998 .

[19]  C. D. Pruett.  Eulerian Time-Domain Filtering for Spatial Large-Eddy Simulation , 2000 .

[20]  Jessica Gullbrand,et al.  Grid-Independent Large-Eddy Simulation in Turbulent Channel Flow Using Three-Dimensional Explicit Filtering , 2003 .

[21]  Giuliano De Stefano,et al.  A Study of the Effect of Smooth Filtering in LES , 2001 .

[22]  Thomas B. Gatski,et al.  A Temporal Approximate Deconvolution Model for Large-Eddy Simulation , 2006 .

[23]  M. Germano,et al.  From RANS to DNS: Towards a Bridging Model , 1999 .

[24]  Youssef Michel Dakhoul.  Improved averaging method for turbulent flow simulation , 1983 .

[25]  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 .

[26]  A. Corjon,et al.  LARGE EDDY SIMULATION OF COMPLEX TURBULENT FLOWS , 1998 .

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

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

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

[30]  B. Geurts,et al.  Realizability conditions for the turbulent stress tensor in large-eddy simulation , 1994, Journal of Fluid Mechanics.

[31]  Chaoqun Liu,et al.  DNS/LES Progress and Challenges. Proceedings of the Third AFOSR International Conference on DNS/LES , 2001 .

[32]  Charles G. Speziale,et al.  Invariance of turbulent closure models , 1979 .