Time-dependent isotropic turbulence

References

• Rubinstein R Rumsey C Salas M Thomas J L 2001 Turbulence modelling workshop ICASE Interim Report 37 NASA/CR–2001–21–841
   Google Scholar
• Rubinstein R Clark T T Reassessment of the classical turbulence closures Theor. Comput. Fluid Dyn. submitted
   Google Scholar
• Canuto , V M and Dubovikov , M S . 1997 . A dynamical model for turbulence: I. General formalism . Phys. Fluids , 8 : 571 – 613 .
   Web of Science ®Google Scholar
• Yoshizawa , A . 1994 . Nonequilibrium effect of the turbulent–energy–production process on the inertial–range energy spectrum . Phys. Rev. , E 49 : 4065 – 71 .
   Google Scholar
• Tennekes H Lumley J L 1972 A First Course in Turbulence Cambridge MA MIT Press
   Google Scholar
• Clark , T T and Zemach , C . 1995 . A spectral model applied to homogeneous turbulence . Phys. Fluids , 7 : 1674 – 94 .
   Web of Science ®Google Scholar
• Besnard , D , Harlow , F and RauenzahnCZemach , C . 1996 . Spectral transport model for turbulence . Theor. Comput. Fluid Dyn. , 8 : 1 – 35 .
   Web of Science ®Google Scholar
• Speziale , C G and Bernard , P . 1992 . The energy decay in self–preserving isotropic turbulence revisited . J. Fluid Mech. , 241 : 645 – 67 .
   Web of Science ®Google Scholar
• Oberlack , M . 1999 . Similarity in non–rotating and rotating turbulent pipe flows . J. Fluid Mech. , 379 : 1 – 22 .
   Web of Science ®Google Scholar
• Batchelor G K 1948 The Theory of Homogeneous Turbulence Cambridge Cambridge University Press
   Google Scholar
• Kraichnan , R H . 1959 . The structure of turbulence at very high Reynolds number . J. Fluid Mech. , 5 : 497 – 543 .
   Web of Science ®Google Scholar
• Bernard P Thangam S Speziale C G 1991 The role of vortex stretching in turbulence modelling ICASE/LaRC Workshop on Transition and Turbulence
   Google Scholar
• Yoshizawa , A . 1987 . Statistical modelling of a transport equation for the kinetic energy dissipation rate . Phys. Fluids , 30 : 628 – 31 .
   Web of Science ®Google Scholar
• Schiestel , R . 1987 . Multiple time scale modelling of turbulent flows in one point closures . Phys. Fluids , 30 : 722
   Web of Science ®Google Scholar
• Dejoan , A and Schiestel , R . 2002 . LES of unsteady turbulence via a one–equation subgrid–scale transport model . Int. J. Heat Fluid Flow , 23 : 398 – 412 .
   Web of Science ®Google Scholar
• Rubinstein , R and Zhou , Y . 2003 . Schiestel's derivation of the epsilon equation and two–equation modelling of rotating turbulence . Comput. Math. Appl. , 46 : 633 – 8 .
   Web of Science ®Google Scholar
• Frish U 1991 Turbulence, the Legacy of A N Kolmogorov Cambridge Cambridge University Press
   Google Scholar
• Kaneda Y 2001 private communication
   Google Scholar
• Kraichnan , R H . 1965 . Lagrangian–history closure approximation for turbulence . Phys. Fluids , 8 : 575 – 98 .
   Web of Science ®Google Scholar
• Kaneda , Y . 1981 . Renormalized expansions in the theory of turbulence with the use of the Lagrangian position function . J. Fluid Mech. , 107 : 131 – 45 .
   Web of Science ®Google Scholar
• Kraichnan , R H . 1971 . An almost–Markovian Galilean–invariant turbulence model . J. Fluid Mech. , 47 : 513 – 24 .
   Web of Science ®Google Scholar
• Livescu , D , Jaberi , F A and Madnia , C K . 2000 . Passive scalar–wake behind a line source in grid turbulence . J. Fluid Mech. , 416 : 117 – 49 .
   Web of Science ®Google Scholar
• Machiels , L . 1997 . Predictability of small–scale motion in isotropic fluid turbulence . Phys. Rev. Lett. , 79 : 3411 – 4 .
   Web of Science ®Google Scholar
• McComb , W D and Quinn , A P . 2003 . Two–point, two–time closures applied to forced isotropic turbulence . Physica , A 317 : 487 – 508 .
   Google Scholar
• Orszag S A 1972 The Statistical Theory of Turbulence Cambridge Cambridge University Press
   Google Scholar
• Yoshizawa , A . 1984 . Statistical analysis of the deviation of the Reynolds stress from its eddy viscosity representation . Phys. Fluids , 27 ( 1377 )
   Google Scholar