411
Views
43
CrossRef citations to date
0
Altmetric
Original Articles

On the justification and extension of mixed models in LES

&
Article: N54 | Published online: 21 Dec 2007

References

  • Launder , D. B. and Spalding , D. B. 1972 . Mathematical Models of Turbulence , London : Academic Press .
  • Speziale , C. G. 1996 . “ ‘Modeling of turbulent transport equations’ ” . In Simulation and Modeling of Turbulent Flows , Edited by: Gatski , T. B. , Hussaini , M. Y. and Lumeley , J. L. New York : Oxford University Press .
  • Haase , W. , Aupoix , B. , Bunge , U. and Schwamborn , D. 2006 . “ FLOMANIA—A European Initiative on Flow Physics Modelling; Results of the European-Union funded project, 2002–2004 ” . In Notes on Numerical Fluid Mechanics and Multidisciplinary Design , Vol. 94 , Berlin , Heidelberg : Springer . flow-physics modeling–an integrated approach. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Springer Verlag
  • Lesieur , M. and Metais , O. 1996 . New trends in large eddy simulations of turbulence . Annual Review of Fluid Mechanics , 28 : 45
  • Boris , J. P. , Grinstein , F. F. , Oran , E. S. and Kolbe , R. L. 1992 . New insights into large eddy simulation . Fluid Dynamic Research , 10 : 199
  • Sagaut , P. 2006 . Large eddy simulation for incompressible flows. , 3rd edn. , Heidelberg : Springer Verlag .
  • Fureby , C. , Alin , N. , Wikström , N. , Menon , S. , Persson , L. and Svanstedt , N. 2004 . On large eddy simulations of high re-number wall bounded flows . AIAAJ , 42 : 457
  • Fureby , C , Tabor , G , Weller , H. and Gosman , D. 1997 . A comparative study of sub grid scale models in isotropic homogeneous turbulence . Physics of Fluids , 9 : 1416
  • Speziale , C. G. 1985 . Galilean invariance of sub grid scale stress models in the large eddy simulation of turbulence . Journal of Fluid Mechanics , 156 : 55
  • von Neumann , J. and Richtmyer , R. D. 1950 . A method for the numerical calculation of hydrodynamic shocks . Journal of Applied Physics , 21 : 232
  • Smagorinsky , J. 1963 . General circulation experiments with the primitive equations. I. The basic experiment . Monthly Weather Review , 91 : 91
  • Schumann , U. 1975 . Subgrid scale model for finite difference simulation of turbulent flows in plane channels and annuli . Journal of Computational Physics , 18 : 376
  • Ducros , F. , Comte , P. and Lesieur , M. 1996 . Large-eddy simulation of transition to turbulence in a boundary layer spatially developing over a flat plate . Journal of Fluid Mechanics , 326 : 1
  • Germano , M. , Piomelli , U. , Moin , P. and Cabot , W. H. 1994 . A dynamic sub grid scale eddy viscosity model . Physics Fluids A , 3 : 1760
  • Kim , W.-W. and Menon , S. 1999 . A new incompressible solver for large-eddy simulations . International Journal of Numerical Fluid Mechanics , 31 : 983
  • Meneveau , C. , Lund , T. S. and Cabot , W. 1994 . A lagrangian dynamic sub grid scale model of turbulence, CTR , 271 Annual Research Briefs .
  • Clark , R. A. , Ferziger , J. H. and Reynolds , W. C. 1979 . Evaluation of sub-grid scale models using an accurately simulated turbulent flow . Journal of Fluid Mechanics , 91 : 1
  • Bardina , J. , Ferziger , J. H. and Reynolds , W. C. 1980 . Improved subgrid scale models for large eddy simulations AIAA Paper 80-1357
  • Liu , S. , Meneveau , C. and Katz , J . 1994 . On the properties of similarity subgrid scale models as deduced from measurements in a turbulent jet . Journal of Fluid Mechanics , 275 : 83
  • Horiuti , K. 1989 . The role of the bardina model in large eddy simulations of turbulent channel flows . Physics Fluids A , 1 : 426
  • Ferziger , J. H. 1998 . “ Direct and large eddy simulation of turbulence ” . In Numerical methods in fluid mechanics, 16 , Edited by: Vincent , A . Université de Montréal AMS . CRM Proceedings and Lecture Noters
  • Sarghini , F , Piomelli , U. and Balaras , E. 1999 . Scale-similar models for large eddy simulations . Physics of Fluids , 11 : 1596
  • Persson , T. , Liefvendahl , M. , Bensow , R. and Fureby , C. 2005 . Numerical investigation of the flow over an axisymmetric hill using LES, DES and RANS . Journal of Turbulence , 7 : 4
  • Stolz , S. , Adams , N. A. and Kleiser , L. 2001 . An approximate deconvolution model for large-eddy simulation with application to incompressible wall bounded flows . Physics of Fluids , 13 : 997
  • Deardorff , J. W. 1973 . The use of subgrid transport equations in a three-dimensional model of atmospherical turbulence . Transactions of the ASME. Journal of Fluids Engineering , 95 : 429
  • Lund , T. S. and Novikov , E. A. 1992 . Parameterization of subgrid scale stress by the velocity gradient tensor , 27 – 43 . Annual Research Briefs – Center for Turbulent Research .
  • Misra , A. and Pullen , D. L. 1997 . A vortex based subgrid stress model for large eddy simulation . Physics of Fluids , 9 : 2443
  • Domaradzki , J. A. and Loh , K. C. 1999 . The subgrid scale estimation model in the physical space representation . Physics of Fluids , 11 : 2330
  • Kemenov , K. and Menon , S. 2003 . A two-level simulation of high-reynolds number non-homogeneous turbulent flows AIAA 2003–0084
  • Fureby , C. and Tabor , G. 1997 . Mathematical and physical constraints on large eddy simulations . Theoretical and Computational Fluid Dynamics , 9 : 85
  • Vreman , B. , Geurts , B. and Kuerten , H. 1994 . Realizability conditions for the turbulent stress tensor in large eddy simulation . Journal of Fluid Mechanics , 278 : 351
  • Smith , G. F. 1971 . On isotropic functions of symmetric tensors, skew symmetric tensors and vectors . International Journal of Engineering Science , 9 : 899
  • Domaradzki , J. A. , Liu , W. and Brachet , M. E. 1993 . An analysis of subgrid scale interactions in numerically simulated isotropic turbulence . Physics of Fluids A , 5 : 1747
  • Domaradzki , J. A. , Liu , W. , Härtel , C. and Kleiser , L. 1994 . Energy transfer in numerically simulated wall-bounded turbulent flows . Physics of Fluids , 6 : 1583
  • O'Neil , J. and Meneveau , C. 1997 . Subgrid scale stresses and their modeling in a turbulent plane wake . Journal of Fluid Mechanics , 349 : 253
  • Liu , S. , Katz , J. and Meneveau , C. 1999 . Evolution and modeling of subgrid scales during rapid straining of turbulence . Journal of Fluid Mechanics , 387 : 281
  • Horiuti , K. 1997 . Bacward scatter of sungrid scale energy in wall bounded turbulence and free shear flow . Journal of the Physical Society of Japan , 66 : 91
  • Layton , W. J. 2001 . Analysis of a scale similarity model of the motion of large eddies in turbulent flows . Journal of Mathematical Analysis and Applications , 264 : 546
  • Guermond , J.-L. , Oden , J. T. and Prudhomme , S. 2004 . Mathematical perspectives on large eddy simulation models for turbulent flows . Journal of Mathematical Fluid Mechanics , 6 : 194
  • Germano , M. 1986 . A proposal for a redefinition of the turbulent stresses in the filtered Navier–Stokes equations . Physics of Fluids , 29 : 2323
  • Bertero , M. and Boccacci , P. 1998 . Inverse Problems in Imaging , Bristol : IOP Publishing .
  • Van Cittert , P. H. 1931 . Zum Einfluss der Spaltbreite auf die Intensitätsverteilung in Spektrallinien II . Zeitschrift für Physik , 69 : 298
  • Weller , H. G. , Tabor , G. , Jasak , H. and Fureby , C. 1997 . A tensorial approach to cfd using object oriented techniques . Computers in Physics , 12 : 629
  • Issa , R. I. 1986 . Solution of the implicitly discretised fluid flow equations by operator splitting . Journal of Computational Physics , 62 : 40
  • Grinstein , F. F. and Fureby , C. 2007 . On flux limiting based implicit large eddy simulation . Journal of Fluids Engineering , 2007
  • Fureby , C. 2007 . On LES and DES of wall bounded flows . Ercoftac Bull , March Issue
  • Brachet , M. E. , Meiron , D. L. , Orszag , S. A. , Nickel , B. G. , Morg , R. H. and Frisch , U. 1983 . Small-scale structure of the Taylor-Green vortex . Journal of Fluid Mechanics , 130 : 411
  • Brachet , M. E. 1991 . Direct numerical simulation of three-dimensional turbulence in the Taylor-Green vortex . Fluid Dynamics Research , 8 : 1
  • Frisch , U. 1995 . Turbulence , 57 Cambridge : Cambridge University Press . Chapter 5
  • Drikakis , D. , Fureby , C. , Grinstein , F. F. and Youngs , D. 2006 . Simulations of transition and turbulence decay in the Taylor-Green vortex with the miles approach . Journal of Turbulence , 8 : 1
  • Bensow , R. E. and Larsson , M. G. 2007 . “ Vorticity-strain residual-based turbulence modeling of the Taylor-Green vortex ” . In International Journal of Numerical Methods in Fluids
  • Moser , R. D. , Kim , J. and Mansour , N. N. 1999 . Direct numerical simulation of turbulent channel flow up to Re t = 590 . Physics of Fluids , 11 : 943
  • Wei , T and Willmarth , W. W. 1989 . Reynolds number effects on the structure of a turbulent channel flow . Journal of Fluid Mechanics , 204 : 57

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.