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Original Articles

Turbulence topologies predicted using large eddy simulations

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Article: N34 | Published online: 30 Oct 2009

References

  • Perry , A. E. and Chong , M. S. 1987 . A description of eddying motions and flow patterns using critical-point concepts . Annual Review of Fluid Mechanics , 19 : 125 – 155 . [CSA]
  • Chong , M. S. , Perry , A. E. and Cantwell , B. J. 1990 . A general classification of three-dimensional flow fields . Physics of Fluids A , 2 : 765 – 777 . [CSA] [CROSSREF]
  • Chen , J. H. , Chong , M. S. , Soria , J. , Sondergaard , R. , Perry , A. E. , Rogers , M. , Moser , R. and Cantwell , B. J. 1990 . “ A study of the topology of dissipating motions in direct numerical simulations of time-developing compressible and incompressible mixing layers ” . In Proc. CTR Summer Program , 139 – 164 . Stanford, CA : Center for Turbulence Research, Stanford University .
  • Cantwell , B. J. 1992 . Exact solution of a restricted Euler equation for the velocity gradient tensor . Physics of Fluids A , 4 : 782 – 793 . [CSA] [CROSSREF]
  • Cantwell , B. J. 1993 . On the behavior of velocity gradient tensor invariants in direct numerical simulations of turbulence . Physics of Fluids A , 5 : 2008 – 2013 . [CSA] [CROSSREF]
  • Vieillefosse , P. 1984 . Internal motion of a small element of fluid in an inviscid flow . Physica A , 125 : 150 – 162 . [CSA] [CROSSREF]
  • Chacin , J. M. and Cantwell , B. J. 2000 . Dynamics of a low Reynolds number turbulent boundary layer . Journal of Fluid Mechanocs , 404 : 87 – 115 . [CSA] [CROSSREF]
  • Chertkov , M. , Pumir , A. and Shraiman , B. I. 1999 . Lagrangian tetrad dynamics and the phenomenology of turbulence . Physics of Fluids , 11 : 2394 – 2410 . [CSA] [CROSSREF]
  • Girimaji , S. S. and Speziale , C. G. 1995 . A modified restricted Euler equation for turbulent flows with mean velocity gradients . Physics of Fluids , 7 : 1438 – 1446 . [CSA] [CROSSREF]
  • Martín , J. , Dopazo , C. and Valiño , L. 1998 . Dynamics of the velocity gradient invariants in turbulence: restricted Euler and linear diffusion models . Physics of Fluids , 10 : 2012 – 2025 . [CSA] [CROSSREF]
  • Martín , J. , Ooi , A. , Chong , M. S. and Soria , J. 1998 . Dynamics of the velocity gradient tensor invariants in isotropic turbulence . Physics of Fluids , 10 : 2336 – 2346 . [CSA] [CROSSREF]
  • Soria , J. , Sondergaard , R. , Cantwell , B. J. , Chong , M. S. and Perry , A. E. 1994 . A study of the fine-scale motions of incompressible time-developing mixing layers . Physics of Fluids , 6 : 871 – 884 . [CSA] [CROSSREF]
  • Chacín , J. M. , Cantwell , B. J. and Kline , S. J. 1996 . Study of turbulent boundary layer structure using the invariants of the velocity gradient tensor . Experimental Thermal and Fluid Science , 13 : 308 – 317 . [CSA] [CROSSREF]
  • Blackburn , H. M. , Mansour , N. N. and Cantwell , B. J. 1996 . Topology of fine-scale motions in turbulent channel flow . Journal of Fluid Mechanics , 310 : 269 – 292 . [CSA]
  • Ooi , A. , Martín , J. , Soria , J. and Chong , M. S. 1999 . A study of the evolution and characteristics of the invariants of the velocity-gradient tensor in isotropic turbulence . Journal of Fluid Mechanics , 381 : 141 – 174 . [CSA] [CROSSREF]
  • Chong , M. S. , Soria , J. , Perry , A. E. , Chacin , J. , Cantwell , B. J. and Na , Y. 1998 . Turbulence structures of wall-bounded shear flows found using DNS data . Journal of Fluid Mechanics , 357 : 225 – 247 . [CSA] [CROSSREF]
  • Nomura , K. K. and Post , G. K. 1998 . The structure and dynamics of vorticity and rate of strain in incompressible homogeneous turbulence . Journal of Fluid Mechanics , 377 : 65 – 97 . [CSA] [CROSSREF]
  • Nomura , K. K. and Diamessis , P. J. 2000 . The interaction of vorticity and rate-of-strain in homogeneous sheared turbulence . Physics of Fluids , 12 : 846 – 864 . [CSA] [CROSSREF]
  • da Silva , C. B. and Pereira , J. C.F. 2004 . The effect of subgrid-scale models on the vortices computed from large-eddy simulations . Physics of Fluids , 16 : 4506 – 4534 . [CSA] [CROSSREF]
  • van , d er , Bos , F. , Tao , B. , Meneveau , C. and Katz , J. 2002 . Effects of small-scale turbulent motions on the filtered velocity gradient tensor as deduced from holographic particle image velocimetry measurements . Physics of Fluids , 14 : 2456 – 2474 . [CSA] [CROSSREF]
  • Borue , V. and Orszag , S. A. 1998 . Local energy flux and subgrid-scale statistics in three dimensional turbulence . Journal of Fluid Mechanics , 366 : 1 – 31 . [CSA] [CROSSREF]
  • Horiuti , K. 2003 . Roles of non-aligned eigenvectors of strain-rate and subgrid-scale stress tensors in turbulence generation . Journal of Fluid Mechanics , 491 : 65 – 100 . [CSA] [CROSSREF]
  • Tsinober , A. 1998 . Is concentrated vorticity that important? . European Journal of Mechanics B/Fluids , 17 : 421 – 449 . [CSA] [CROSSREF]
  • Angeles , J. 1988 . Rational Kinematics , vol. 34 , New York : Springer-Verlag . (of Springer Tracts in Natural Philosophy)
  • Nicoud , F. and Ducros , F. 1999 . Subgrid-scale stress modelling based on the square of the velocity gradient tensor . Flow, Turbulence and Combustion , 62 : 183 – 200 . [CSA] [CROSSREF]
  • Vreman , A. W. 2004 . An eddy-viscosity subgrid-scale model for turbulent shear flow: algebraic theory and applications . Physics of Fluids , 16 : 3670 – 3681 . [CSA] [CROSSREF]
  • Kobayashi , H. 2005 . The subgrid-scale models based on coherent structures for rotating homogeneous turbulence and turbulent channel flow . Physics of Fluids , 17 ( 045104 ) : 1 – 12 . [CSA]
  • Wang , B. -C. , Yin , J. , Yee , E. and Bergstrom , D. J. Turbulence topologies predicted using a dynamic non-linear subgrid-scale model based on Speziale's quadratic constitutive relation . Proc. 4th Int. Symp. Turbul. Shear Flow Phenom. pp. 1055 – 1060 . Williamsburg, VA
  • Girimaji , S. S. and Pope , S. B. 1990 . A diffusion model for velocity gradients in turbulence . Physics of Fluids A , 2 : 242 – 256 . [CSA] [CROSSREF]
  • Jeong , E. and Girimaji , S. S. 2003 . Velocity-gradient dynamics in turbulence: effect of viscosity and forcing . Theoretical and Computational Fluid Dynamics , 16 : 421 – 432 . [CSA] [CROSSREF]
  • Jiménez , J. , Wary , A. A. , Saffman , P. G. and Rogallo , R. S. 1993 . The structure of intense vorticity in isotropic turbulence . Journal of Fluid Mechanics , 255 : 65 – 90 . [CSA]
  • Tsinober , A. , Ortenberg , M. and Shtilman , L. 1999 . On depression of nonlinearity in turbulence . Physics of Fluids , 11 : 2291 – 2297 . [CSA] [CROSSREF]
  • Tsinober , A. 2000 . “ Vortex stretching versus production of strain/dissipation ” . In Turbulence Structure and Vortex Dynamics , Edited by: Hunt , J. C.R. and Vassilicos , J. C. 165 – 191 . Cambridge, UK : Cambridge University Press .
  • Pope , S. B. 2000 . Turbulent Flows , Cambridge, UK : Cambridge University Press .
  • Smagorinsky , J. 1963 . General circulation experiments with the primitive equations, I. The basic experiment . Monthly Weather Review , 91 : 99 – 165 . [CSA]
  • Eyink , G. 1995 . Local energy flux and the refined similarity hypothesis . Journal of Statistical Physics , 78 : 335 – 351 . [CSA] [CROSSREF]
  • Wang , B. -C. and Bergstrom , D. J. 2005 . A dynamic nonlinear subgrid-scale stress model . Physics of Fluids , 17 ( 035109 ) : 1 – 15 . [CSA]
  • Lilly , D. K. 1992 . A proposed modification of the Germano subgrid-scale closure method . Physics of Fluids A , 4 : 633 – 635 . [CSA] [CROSSREF]
  • 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 – 2847 . [CSA] [CROSSREF]
  • Piomelli , U. 1993 . High Reynolds number calculations using the dynamic subgrid-scale stress model . Physics of Fluids A , 5 : 1484 – 1490 . [CSA] [CROSSREF]
  • Sagaut , P. 2002 . Large Eddy Simulation for Incompressible Flows: An Introduction, , 2nd edition , Berlin : Springer .
  • Piomelli , U. and Liu , J. 1995 . Large-eddy simulation of rotating channel flows using a localized dynamic model . Physics of Fluids , 7 : 839 – 848 . [CSA] [CROSSREF]
  • Wang , B. -C. and Bergstrom , D. J. 2005 . A general optimal formulation for the dynamic Smagorinsky subgrid-scale stress model . International Journal for Numerical Methods in Fluids , 49 : 1359 – 1389 . [CSA] [CROSSREF]
  • Speziale , C. G. 1987 . On nonlinear k-l and k-ϵ models of turbulence . Journal of Fluid Mechanics , 178 : 459 – 475 . [CSA]
  • Gatski , T. B. and Speziale , C. G. 1993 . On explicit algebraic stress models for complex turbulent flows . Journal of Fluid Mechanics , 254 : 59 – 78 . [CSA]
  • Diamessis , P. J. and Nomura , K. K. 2000 . Interaction of vorticity, rate-of-strain, and scalar gradient in stratified homogeneous sheared turbulence . Physics of Fluids , 12 : 1166 – 1188 . [CSA] [CROSSREF]
  • Lund , T. S. and Rogers , M. M. 1994 . An improved measure of strain state probability in turbulent flows . Physics of Fluids , 6 : 1838 – 1847 . [CSA] [CROSSREF]
  • Tao , B. , Katz , J. and Meneveau , C. 2002 . Statistical geometry of subgrid-scale stresses determined from holographic particle image velocimetry measurements . Journal of Fluid Mechanics , 457 : 35 – 78 . [CSA] [CROSSREF]
  • Ashurst , W. T. , Kerstein , A. R. , Kerr , R. M. and Gibson , C. H. 1987 . Alignment of vorticity and scalar gradient with strain rate in simulated Navier–Stokes turbulence . Physics of Fluids , 30 : 2343 – 2353 . [CSA] [CROSSREF]
  • Tsinober , A. , Kit , E. and Dracos , T. 1992 . Experimental investigation of the field of velocity gradients in turbulent flows . Journal of Fluid Mechanics , 242 : 169 – 192 . [CSA]
  • Wang , B. -C. , Yee , E. and Bergstrom , D. J. 2006 . Geometrical description of the subgrid-scale stress tensor based on Euler axis/angle . AIAA Journal , (in press)[CSA]

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