The Regularized Dia Closure for Two-Dimensional Turbulence

References

• Bazdenkov , SV and Kukharkin , NN . 1993 . “On the variational method of closure in the theory of turbulence” . Phys. Fluids A , 5 : 2248
   Google Scholar
• Frederiksen , JS . 1999 . “Subgrid-scale parameterisations of eddy-topographic force, eddy viscosity and stochastic backscatter for flow over topography” . J. Atmos. Sci. , 56 : 1481
   Web of Science ®Google Scholar
• Frederiksen , JS and Davies , AG . 1997 . “Eddy viscosity and stochastic backscatter parameterizations on the sphere for atmospheric circulation models” . J. Atmos. Sci. , 54 : 2475
   Web of Science ®Google Scholar
• Frederiksen , JS and Davies , AG . 2000 . “Dynamics and spectra of cumulant update closures for two-dimensional turbulence” . Geophys. Astrophys. Fluid Dynam. , 92 : 197
   Web of Science ®Google Scholar
• Frederiksen , JS , Davies , AG and Bell , RC . 1994 . “Closure theories with non-Gaussian restarts for truncated two-dimensional turbulence” . Phys. Fluids , 6 : 3153
   Web of Science ®Google Scholar
• Frederiksen , JS , Dix , MR and Davies , AG . 2003 . “The effects of closure-based eddy diffusion on the climate and spectra of a GCM” . Tellus , 55A : 31
   Google Scholar
• Gotoh , T , Kaneda , Y and Bekki , N . 1988 . “Numerical integration of the Lagrangian renormalized approximation” . J. Phys. Soc. Japan , 57 : 866
   Google Scholar
• Gotoh , T , Nagaki , J and Kaneda , Y . 2000 . “Passive scalar spectrum in the viscous-convective range in two-dimensional steady turbulence” . Phys. Fluids , 12 : 155
   Web of Science ®Google Scholar
• Herring , JR . 1965 . “Self-consistent-field approach to turbulence theory” . Phys. Fluids , 8 : 2219
   Web of Science ®Google Scholar
• Herring , JR and Kerr , RM . 1993 . “Development of enstrophy and spectra in numerical turbulence” . Phys. Fluids A , 5 : 2792
   Web of Science ®Google Scholar
• Herring , JR and Kraichnan , RH . 1979 . “A numerical comparison of velocity-based and strain-based Lagrangian-history turbulence approximations” . J. Fluid Mech. , 91 : 581
   Web of Science ®Google Scholar
• Herring , JR , Orszag , SA , Kraichnan , RH and Fox , DG . 1974 . “Decay of two-dimensional homogeneous turbulence” . J. Fluid Mech. , 66 : 417
   Web of Science ®Google Scholar
• Holloway , G . 1978 . “A spectral theory of nonlinear barotropic motion above irregular topography” . J. Phys. Oceanog , 8 : 414
   Web of Science ®Google Scholar
• Kaneda , Y . 1981 . “Renormalised expansions in the theory of turbulence with the use of the Lagrangian position function” . J. Fluid Mech. , 107 : 131
   Web of Science ®Google Scholar
• Koshyk , JN , Hamilton , K and Mahlman , JD . 1999 . “Simulation of the k −5/3 mesoscale spectral regime in the GFDL SKYHI general circulation model” . Geophys. Res. Lett. , 26 : 843
   Web of Science ®Google Scholar
• Kraichnan , RH . 1959a . “The structure of isotropic turbulence at very high Reynolds numbers” . J. Fluid Mech. , 5 : 477
   Web of Science ®Google Scholar
• Kraichnan , RH . 1959b . “Classical fluctuation-relaxation theorem” . Phys. Rev. , 113 : 1181
   Web of Science ®Google Scholar
• Kraichnan , RH . 1964a . “Decay of isotropic turbulence in the direct-interaction approximation” . Phys. Fluids , 7 : 1030
   Web of Science ®Google Scholar
• Kraichnan , RH . 1964b . “Kolmogorov's hypothesis and Eulerian turbulence theory” . Phys. Fluids , 7 : 1723
   Web of Science ®Google Scholar
• Kraichnan , RH . 1965 . “Lagrangian-history closure approximation for turbulence” . Phys. Fluids , 8 : 575
   Web of Science ®Google Scholar
• Kraichnan , RH . 1971 . “An almost-Markovian Galilean-invariant turbulence model” . J. Fluid Mech. , 47 : 513
   Web of Science ®Google Scholar
• Kraichnan , RH . 1972 . “Test-field model for inhomogeneous turbulence” . J. Fluid Mech. , 56 : 287
   Web of Science ®Google Scholar
• Kraichnan , RH . 1977 . “Eulerian and Lagrangian renormalization in turbulence theory” . J. Fluid Mech. , 83 : 349
   Web of Science ®Google Scholar
• Kraichnan , RH and Herring , JR . 1978 . “A strain-based Lagrangian-history turbulence theory” . J. Fluid Mech. , 88 : 355
   Web of Science ®Google Scholar
• Leith , CE . 1971 . “Atmospheric predictability and two-dimensional turbulence” . J. Atmos. Sci. , 28 : 145
   Web of Science ®Google Scholar
• Leslie DC Developments in the Theory of Turbulence p. 368 Clarendon Press Oxford 1973
   Google Scholar
• Martin , PC , Siggia , ED and Rose , HA . 1973 . “Statistical dynamics of classical systems” . Phys. Rev. A , 8 : 423
   Web of Science ®Google Scholar
• McComb , WD . 1974 . “A local energy-transfer theory of isotropic turbulence” . J. Phys. A , 7 : 632
   Google Scholar
• McComb WD The Physics of Fluid Turbulence p. 572 Clarendon Oxford 1990
   Google Scholar
• McComb , WD and Quinn , AP . 2003 . “Two-point, two-time closures applied to forced isotropic turbulence” . Physica A , 317 : 487
   Web of Science ®Google Scholar
• McComb , WD , Filipiak , MJ and Shanmugasundaram , V . 1992 . “Rederivation and further assessment of the LET theory of isotropic turbulence, as applied to passive scalar convection” . J. Fluid Mech. , 245 : 279
   Web of Science ®Google Scholar
• Nastrom , GD and Gage , KS . 1985 . “A climatology of atmospheric wavenumber spectra of wind and temperature observed by commercial aircraft” . J. Atmos. Sci. , 42 : 950
   Web of Science ®Google Scholar
• O’Kane TJ Frederiksen JS “The QDIA and regularized QDIA closures for inhomogeneous turbulence over topography” 2003 Submitted to J. Fluid Mech
   Google Scholar
• Orszag , SA . 1970 . “Analytical theories of turbulence” . J. Fluid Mech. , 41 : 363
   Web of Science ®Google Scholar
• Rose , HA . 1985 . “An efficient non-Markovian theory of non-equilibrium dynamics” . Physica D , 14 : 216
   Web of Science ®Google Scholar
• Toth , T and Kalnay , E . 1997 . “Ensemble forecasting at NCEP and the breeding method” . Mon. Wea. Rev. , 125 : 3297
   Web of Science ®Google Scholar