Experimental measurements of spectral subgrid-scale Prandtl number in a heated turbulent wake flow, EDQNM predictions and 4/3-law

References

• Leonard , A. 1974 . Energy cascade in large-eddy simulations of turbulent fluid flows . Advances in Geophysics , 18 : 237 – 248 . [CSA]
   Google Scholar
• Lesieur , M. and Metais , O. 1996 . New trends in large-eddy simulations of turbulence . Annual Review of Fluid Mechanics , 28 : 45 – 82 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Piomelli , U. 1999 . Large-eddy simulation: achievements and challenges . Progress in Aerospace Science , 35 : 335 – 362 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Meneveau , C. and Katz , J. 2000 . Scale-invariance and turbulence models for large-eddy simulation . Annual Review of Fluid Mechanics , 32 : 1 – 32 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Sagaut , P. 2005 . Large-Eddy Simulation for Incompressible Flows. Scientific Computation , 3rd edn. , Berlin : Springer .
   Google Scholar
• Smagorinsky , J. 1963 . General circulation experiments with the primitive equations: I. The basic experiment . Monthly Weather Review , 91 : 99 – 116 . [CSA]
   Google Scholar
• Kraichnan , R. H. 1959 . The structure of isotropic turbulence at very high Reynolds numbers . Journal of Fluid Mechanics , 5 : 497 – 543 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Kraichnan , R. H. 1961 . Dynamics of nonlinear stochastic systems . Journal of Mathematical Physics , 2 : 124 [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Kraichnan , H. 1976 . Eddy viscosity in two and three dimensions . Journal of the Atmospheric Sciences , 33 : 1521 – 1536 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Chollet , J. P. and Lesieur , M. 1982 . Modélisation sous maille des flux de quantité de mouvement et de chaleur en turbulence tridimensionnelle isotrope . La Météorologie , 29–30 : 183 – 191 . [CSA]
   Google Scholar
• Lesieur , M. 1990 . Turbulence in Fluids , Dordrecht : Kluwer .
   Google Scholar
• Lesieur , M. 1997 . Turbulence in Fluids , Third Revised and Enlarged Edition , Dordrecht : Kluwer .
   Google Scholar
• Cerutti , S. , Meneveau , C. and Knio , O. M. 2000 . Spectral and hyper eddy viscosity in high-Reynolds-number turbulence . Journal of Fluid Mechanics , 421 : 307 – 338 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Orszag , S. A. 1970 . Analytical theories of turbulence . Journal of Fluid Mechanics , 41 : 363 – 386 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Leslie , D. C. and Quarini , G. L. 1979 . The application of turbulence theory to the formulation of subgrid modelling procedures . Journal of Fluid Mechanics , 91 : 65 – 91 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Lesieur , M. , Comte , P. , Lamballais , E. , Metais , O. and Silvestrini , G. 1997 . Large-eddy simulations of shear flows . Journal of the Engineering Mathematics , 32 : 195 – 215 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Chollet , J. P. and Lesieur , M. 1981 . Parameterization of small scales of three-dimensional isotropic turbulence utilizing spectral closures . Journal of the Atmospheric Sciences , 38 : 2747 – 2757 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Domaradski , J. , Metcalfe , R. , Rogallo , R. and Riley , J. 1987 . Analysis of subgrid-scale eddy viscosity with use of results from direct numerical simulation . Physical Review Letters , 58 : 547 – 550 . [CSA] [CROSSREF]
   Google Scholar
• Langford , J. A. and Moser , R. D. 1999 . Optimal LES formulations for isotropic turbulence . Journal of Fluid Mechanics , 398 : 321 – 346 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Moin , P. , Squires , W. , Cabot , W. and Lee , S. 1991 . A dynamic subgrid-scale model for compressible turbulence and scalar transport . Physics of Fluids , 11 : 2746 – 2757 . [CSA]
   Google Scholar
• Zhou , H. , Cui , G. , Zhang , Z. and Shao , L. 2002 . Dependence of turbulent scalar flux on molecular Prandtl number . Physics of Fluids , 14 : 2388 – 2394 . [CSA] [CROSSREF]
   Google Scholar
• Meneveau , C. 1994 . Statistics of turbulence subgrid-scale stresses: Necessary conditions and experimental tests . Physics of Fluids , 6 : 815 – 833 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Comte-Bellot , G. and Corrsin , S. 1966 . The use of a contraction to improve the isotropy of grid generated turbulence . Journal of Fluid Mechanics , 25 : 657 – 682 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Comte-Bellot , G. and Corrsin , S. 1971 . Simple Eulerian time correlation of full-and narrow-band velocity signals in grid-generated, ‘isotropic’ turbulence . Journal of Fluid Mechanics , 48 : 273 – 337 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Kang , H. S. and Meneveau , C. 2002 . Universality of LES model parameters across a turbulent wake behind a heated cylinder . Journal of Turbulence , 3 : 32 [CSA] [CROSSREF]
   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 – 119 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Cerutti , S. and Meneveau , C. 2000 . Statistics of filtered velocity in grid and wake turbulence . Physics of Fluids , 12 : 1143 – 1165 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Kang , H. S. and Meneveau , C. 2001 . Passive scalar anisotropy in a heated turbulent wake: new observations and implications for large-eddy simulations . Journal of Fluid Mechanics , 442 : 161 – 170 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Kang , H. S. , Chester , S. and Meneveau , C. 2003 . Decaying turbulence in an active-grid-generated flow and comparison with large-eddy simulation . Journal of Fluid Mechanics , 480 : 129 – 160 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Tennekes , H. and Lumley , J. L. 1972 . A First Course in Turbulence , Cambridge, MA : MIT Press .
   Google Scholar
• Lindborg , E. 1999 . Correction to the four-fifths law due to variations of the dissipation . Physics of Fluids , 11 : 510 – 512 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Batchelor , G. K. 1953 . The Theory of Homogeneous Turbulence , Cambridge : Cambridge University Press .
   Google Scholar
• Pope , S. B. 2000 . Turbulent Flows , Cambridge : Cambridge University Press .
   Google Scholar
• Sreenivasan , K. R. 1991 . On the local isotropy of passive scalars in turbulent shear flows . Proceedings of the Royal Society of London , 434 : 165 – 182 . [CSA]
   Google Scholar
• Antonia , R. A. , Xu , G. and Zhou , T. 1999 . Reynolds number dependence of low-order turbulent temperature structure functions . Europhysics Letter , 48 : 43 – 48 . [CSA] [CROSSREF]
   Google Scholar
• Danaila , L. and Mydlarski , L. 2001 . Effect of gradient production on scalar fluctuations in decaying grid turbulence . Physical Review E , 64 Art. No. 016316[CSA] [CROSSREF]
   Google Scholar
• Kraichnan , R. H. 1971 . Inertial-range transfer in two-and three-dimensional turbulence . Journal of Fluid Mechanics , 47 : 525 [CSA] [CROSSREF]
   Google Scholar
• Herring , J. R. , Schertzer , D. , Lesieur , M. , Newman , G. R. , Chollet , J. P. and Larcheveque , M. 1982 . A comparative-assessment of spectral closures as applied to passive scalar diffusion . Journal of Fluid Mechanics , 124 : 411 – 437 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar