Transformation properties of dynamic subgrid-scale models in a frame of reference undergoing rotation

REFERENCES

• Bardina , J. 1983 . “ Improved turbulence models based on large eddy simulation of homogeneous, incompressible turbulent flows ” . Stanford, California : Stanford University . Ph.D. dissertation
   Google Scholar
• Bardina , J. , Ferziger , J. H. and Rogallo , R. S. 1985 . Effect of rotation on isotropic turbulence: computation and modeling . Journal of Fluid Mechanics , 154 : 321 [CSA]
   Web of Science ®Google Scholar
• Bershadskii , A. , Kit , E. and Tsinober , A. 1993 . Spontaneous breaking of reflectional symmetry in real quasi-two-dimensional turbulence: Stochastic traveling waves and helical solitons in atmosphere laboratory . Proc. R. Soc. London Ser. A , 441 : 147 [CSA]
   Google Scholar
• Chasnov , J. R. 1991 . Simulation of the Kolmogorov inertial subrange using an improved subgrid model . Physics of Fluids A , 3 : 188 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Clark , R. A. , Ferziger , J. H. and Reynolds , W. C. 1979 . Evaluation of subgrid-scale models using an accurately simulated turbulent flow . Journal of Fluid Mechanics , 91 : 1 [CSA]
   Web of Science ®Google Scholar
• Domaradzki , J. A. and Yee , P. P. 2000 . The subgrid-scale estimation model for high Reynolds number turbulence . Physics of Fluids , 12 : 193 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Domaradzki , J. A. and Horiuti , K. 2001 . Similarity modeling on an expanded mesh applied to rotating turbulence . Physics of Fluids , 13 : 3510 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Ferziger , J. H. 1977 . Large eddy numerical simulations of turbulent flows . AIAA Journal , 15 : 1261 [CSA]
   Google Scholar
• Fureby , C. and Tabor , G. 1997 . Mathematical and physical constraints on large-eddy simulations . Theoret. Comput. Fluid Dynamics , 9 : 85 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Germano , M. 1986 . A proposal for a redefinition of the turbulent stresses in the filtered Navier–Stokes equations . Physics of Fluids , 29 : 2323 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Germano , M. 1992 . Turbulence: the filtering approach . Journal of Fluid Mechanics , 238 : 325 [CSA]
   Web of Science ®Google Scholar
• Germane , M. , Piomelli , U. , Moin , P. and Cabot , W. H. 1991 . A dynamic subgrid-scale eddy viscosity model . Physics of Fluids A , 3 : 1760 [CROSSREF] [CSA]
   Google Scholar
• Geurts , B. J. 1997 . Inverse modeling for large-eddy simulation . Physics of Fluids , 9 : 3585 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Horiuti , K. 1993 . A proper velocity scale for modeling subgrid-scale eddy viscosity in large eddy simulation . Physics of Fluids A , 5 : 146 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Horiuti , K. 1997a . Backward scatter of subgrid-scale energy in wall-bounded and free shear turbulence . J. Phys. Soc. Japan , 66 : 91 [CROSSREF] [CSA]
   Google Scholar
• Horiuti , K. 1997b . A new dynamic two-parameter mixed model for large-eddy simulation . Physics of Fluids , 9 : 3443 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Horiuti , K. 1999 . Assessment of the generalized scale-similarity model in homogeneous turbulence subjected to rotation . Recent Advances in DNS and LES, Proc. 2nd AFOSR Conference . 1999 . Edited by: Knight , D. pp. p. 179 Dordrecht : Kluwer .
   Google Scholar
• Horiuti , K. 2003 . Roles of nonaligned eigenvectors of strain-rate and subgrid-scale stress tensors in turbulence generation . Journal of Fluid Mechanics , 491 : 65 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Horiuti , K. and Itami , T. 1998 . Truncation error analysis of the rotational form for the convective terms in the Navier—Stokes equation . J. Comp. Phys , 145 : 671 [CROSSREF] [CSA]
   Google Scholar
• Jacquin , L. , Leuchter , O. , Cambon , C. and Mathieu , J. 1990 . Homogeneous turbulence in the presence of rotation . Journal of Fluid Mechanics , 220 : 1 [CSA]
   Web of Science ®Google Scholar
• Kosović , B. 1997 . Subgrid-scale modeling for the large-eddy simulation of high-Reynolds-number boundary layers . Journal of Fluid Mechanics , 336 : 151 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Lamballais , E. , Métais , O. and Lesieur , M. 1998 . Spectral-dynamic model for large-eddy simulations of turbulent rotating channel flow . Theoretical and Computational Fluid Dynamics , 12 : 149 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Lilly , D. K. 1992 . A proposed modification of the Germano subgrid-scale closure method . Physics of Fluids A , 4 : 633 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• 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 [CSA]
   Web of Science ®Google Scholar
• Lumley , J. L. 1970 . Toward a turbulent constitutive equation . Journal of Fluid Mechanics , 41 : 413 [CSA]
   Web of Science ®Google Scholar
• Mahalov , A. and Zhou , Y. 1996 . Analytical and phenomenological studies of rotating turbulence . Physics of Fluids , 8 : 2138 [CROSSREF] [CSA]
   Google Scholar
• Meneveau , C. and Katz , J. 1999 . Dynamic testing of subgrid-scale models in large eddy simulation based on the Germano identity . Physics of Fluids , 11 : 245 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Piomelli , U. and Chasnov , J. R. 1996 . “ Large-eddy simulations: theory and applications ” . In Transition and turbulence modeling , Edited by: Henningson , D. , Hallback , M. , Alfreddson , H. and Johansson , A. p. 269 Kluwer Academic Publishers : Dordrecht .
   Google Scholar
• Piomelli , U. and Liu , J. 1995 . Large-eddy simulation of rotating channel flows using a localized dynamic model . Physics of Fluids , 7 : 839 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Salvetti , M. V. and Banerjee , S. 1995 . A priori tests of a new dynamic subgrid-scale model for finite-difference large-eddy simulations . Physics of Fluids , 7 : 2831 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Shah , K. B. and Ferziger , J. H. 1995 . “ A new non-eddy viscosity subgrid-scale model and its application to channel flow ” . In Annual Research Briefs , p. 73 Center for Turbulence Research 1995, NASA Ames-Stanford University . 1995
   Google Scholar
• Smagorinsky , J. 1963 . General circulation experiments with the primitive equations. I. The basic experiment . Monthly Weather Review , 91 : 99 [CSA]
   Google Scholar
• Speziale , C. G. 1979 . Invariance of turbulent closure models . Physics of Fluids , 22 : 1033 [CROSSREF] [CSA]
   Google Scholar
• Speziale , C. G. 1985a . Galilean invariance of subgrid-scale stress in large eddy simulation . Journal of Fluid Mechanics , 156 : 55 [CSA]
   Web of Science ®Google Scholar
• Speziale , C. G. 1985b . Subgrid-scale stress models for the large eddy simulation of rotating turbulent flows . Geophys. Astrophys. Fluid Dynamics , 33 : 199 [CSA]
   Web of Science ®Google Scholar
• Speziale , C. G. 1991 . Analytical methods for the development of Reynolds-stress closures in turbulence . Annu. Rev. Fluid Mech. , 23 : 107 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Squires , K. D. and Piomelli , U. 1995 . “ Dynamic modeling of rotating turbulence ” . In Turbulent Shear Flows , Edited by: Durst , F. , Kasagi , N. , Launder , B. E. , Schmidt , F. W. and Whitelaw , J. H. Vol. 9 , 73 New York : Springer Verlag .
   Google Scholar
• Stolz , S. and Adams , N. A. 1999 . An approximate deconvolution procedure for large-eddy simulation . Physics of Fluids , 11 : 1699 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Vreman , B. , Geurts , B. and Kuerten , H. 1994 . On the formulation of the dynamic mixed subgrid-scale model . Physics of Fluids , 6 : 4057 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Yeung , P. K. and Zhou , Y. 1998 . Numerical study of rotating turbulence with external forcing . Physics of Fluids , 10 : 2895 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Zang , Y. , Street , R. L. and Koseff , J. 1993 . A dynamic mixed subgrid-scale model and its application to turbulent recirculating flows . Physics of Fluids A , 5 : 3186 [CROSSREF] [CSA]
   Web of Science ®Google Scholar