On large eddy simulation of high Reynolds number wall bounded flows

Large Eddy Simulation (LES) of wall-bounded flows becomes prohibitively expensive at high Reynolds (Re) numbers if one attempts to resolve the small but dynamically important vortical structures in the near-wall region. The LES wall-boundary condition problem is thus to account for the effects of the nearwall turbulence between the wall and the first node and its transfer of momentum to the wall. Here we state the problem and give a brief overview of methods currently in use, and possible future methods. To illustrate the problem and quantify the accuracy of some of the models we present a few results from test cases ranging from fully developed turbulent channel flows to three-dimensional problems of practical engineering interest.

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

[2]  A. N. Tikhonov,et al.  Solutions of ill-posed problems , 1977 .

[3]  P. Spalart.  Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach , 1997 .

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

[5]  C. Fureby.  Towards Large Eddy Simulation of Complex Flows , 2002 .

[6]  New variants to the dynamic Subgrid Scale Model , 1995 .

[7]  George Em Karniadakis,et al.  Alternative LES and Hybrid RANS/LES for Turbulent Flows , 2002 .

[8]  Doyle Knight,et al.  Large Eddy Simulations Using an Unstructured Grid Compressible Navier - Stokes Algorithm , 2000 .

[9]  J. Deardorff,et al.  The Use of Subgrid Transport Equations in a Three-Dimensional Model of Atmospheric Turbulence , 1973 .

[10]  V. C. Patel,et al.  Flow separation on a spheroid at incidence , 1979 .

[11]  F. Grinstein,et al.  Recent Progress on MILES for High Reynolds Number Flows , 2002 .

[12]  Seungki Ahn,et al.  Cross-flow separation on a prolate spheroid at angles of attack , 1992 .

[13]  Hrvoje Jasak,et al.  A tensorial approach to computational continuum mechanics using object-oriented techniques , 1998 .

[14]  Christer Fureby,et al.  Large eddy simulation of the flow around an inclined prolate spheroid , 2004 .

[15]  A. Bensoussan,et al.  Asymptotic analysis for periodic structures , 1979 .

[16]  A. Gosman,et al.  Differential subgrid stress models in large eddy simulations , 1997 .

[17]  Roger L. Simpson,et al.  Mean velocity and pressure and velocity spectral measurements within a separated flow around a prolate spheroid at incidence , 1998 .

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

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

[20]  Roger L. Simpson,et al.  STUDY OF VORTICAL SEPARATION FROM AN AXISYMMETRIC HILL , 2002, Proceeding of Second Symposium on Turbulence and Shear Flow Phenomena.

[21]  D. C. Leslie,et al.  Large eddy simulation - A predictive approach to turbulent flow computation , 1979 .

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

[23]  R. A. Antonia,et al.  Low-Reynolds-number effects in a fully developed turbulent channel flow , 1992, Journal of Fluid Mechanics.

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

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

[26]  LARGE EDDY SIMULATION OF THE FLOW AROUND AN INCLINED PROLATE SPHEROID , 2001 .

[27]  Christopher J. Chesnakas,et al.  Measurements of the Turbulence Structure in the Vicinity of a 3-D Separation , 1996 .

[28]  Christer Fureby,et al.  From canonical to complex flows: Recent progress on monotonically integrated LES , 2004, Computing in Science & Engineering.

[29]  R. B. Dean.  Reynolds Number Dependence of Skin Friction and Other Bulk Flow Variables in Two-Dimensional Rectangular Duct Flow , 1978 .

[30]  S. Menon,et al.  AN UNSTEADY INCOMPRESSIBLE NAVIER-STOKES SOLVER FOR LARGE EDDY SIMULATION OF TURBULENT FLOWS , 1999 .

[31]  J. McWilliams,et al.  A subgrid-scale model for large-eddy simulation of planetary boundary-layer flows , 1994 .

[32]  Christer Fureby,et al.  LES studies of the flow in a swirl gas combustor , 2005 .

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

[34]  Roger L. Simpson,et al.  Measurement of Three-Dimensional Crossflow Separation , 1998 .

[35]  Rickard Bensow,et al.  Numerical investigation of the flow over an axisymmetric hill using LES, DES, and RANS , 2006 .

[36]  C. Hirsch,et al.  Numerical Computation of Internal and External Flows. By C. HIRSCH. Wiley. Vol. 1, Fundamentals of Numerical Discretization. 1988. 515 pp. £60. Vol. 2, Computational Methods for Inviscid and Viscous Flows. 1990, 691 pp. £65. , 1991, Journal of Fluid Mechanics.

[37]  U. Schumann.  Subgrid Scale Model for Finite Difference Simulations of Turbulent Flows in Plane Channels and Annuli , 1975 .

[38]  S. Menon,et al.  Large-Eddy Simulation of Turbulent Flow over an Axisymmetric Hill , 2003 .

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

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

[41]  W. Cabot,et al.  Anisotropic eddy viscosity models , 1996 .

[42]  L. Margolin,et al.  Large-eddy simulations of convective boundary layers using nonoscillatory differencing , 1999 .

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

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

[45]  Franck Nicoud,et al.  An approach to wall modeling in large-eddy simulations , 2000 .

[46]  Parviz Moin,et al.  WALL MODELING IN LES OF TRAILING-EDGE FLOW , 2001 .

[47]  B. Launder.  An introduction to single-point closure methodology , 1991 .

[48]  Bernardus J. Geurts.  Balancing Errors in LES , 1999 .

[49]  F. Grinstein,et al.  Large Eddy simulation of high-Reynolds-number free and wall-bounded flows , 2002 .

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

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

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

[53]  Suresh Menon,et al.  Application of the localized dynamic subgrid-scale model to turbulent wall-bounded flows , 1997 .

[54]  Numerical investigation of flow past a prolate spheroid , 2002 .

[55]  W. Willmarth,et al.  Reynolds-number effects on the structure of a turbulent channel flow , 1989, Journal of Fluid Mechanics.

[56]  P. Spalart.  A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[57]  Fernando F. Grinstein,et al.  On MILES based on flux‐limiting algorithms , 2005 .

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

[59]  Jay P. Boris,et al.  Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works , 1973 .

[60]  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.

[61]  B. Geurts,et al.  Direct and large-eddy simulation IV , 2001 .

[62]  Suresh Menon,et al.  A new dynamic one-equation subgrid-scale model for large eddy simulations , 1995 .

[63]  Chin-Hoh Moeng,et al.  LARGE EDDY SIMULATION , 2002 .

[64]  Leif Persson,et al.  On Homogenization-Based Methods for Large-Eddy Simulation , 2002 .

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

[66]  C. Fureby,et al.  Mathematical and Physical Constraints on Large-Eddy Simulations , 1997 .

[67]  P. R. Voke.  Subgrid-scale modelling at low mesh reynolds number , 1996 .

[68]  E. Novikov,et al.  Parameterization of subgrid-scale stress by the velocity gradient tensor , 1993 .

[69]  P. Moin,et al.  The basic equations for the large eddy simulation of turbulent flows in complex geometry , 1995 .