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Volumn 14, Issue 1, 2012, Pages 32-57

Statistical dynamical closures and subgrid modeling for inhomogeneous QG and 3D turbulence

Author keywords

Inhomogeneous closures; Statistical dynamics; Subgrid modeling; Turbulence

Indexed keywords


EID: 84860660756     PISSN: None     EISSN: 10994300     Source Type: Journal    
DOI: 10.3390/e14010032     Document Type: Article
Times cited : (34)

References (50)
  • 1
    • 57149141228 scopus 로고    scopus 로고
    • Entropy, closures and subgrid modeling
    • Frederiksen, J.S.; O'Kane, T.J. Entropy, closures and subgrid modeling. Entropy 2008, 10, 635-683.
    • (2008) Entropy , vol.10 , pp. 635-683
    • Frederiksen, J.S.1    O'Kane, T.J.2
  • 2
    • 33845238060 scopus 로고    scopus 로고
    • Dynamical subgrid-scale parameterizations from direct numerical simulations
    • Frederiksen, J.S.; Kepert, S.M. Dynamical subgrid-scale parameterizations from direct numerical simulations. J. Atmos. Sci. 2006, 63, 3006-3019.
    • (2006) J. Atmos. Sci. , vol.63 , pp. 3006-3019
    • Frederiksen, J.S.1    Kepert, S.M.2
  • 3
    • 84891211683 scopus 로고
    • The structure of isotropic turbulence at very high Reynolds numbers
    • Kraichnan, R.H. The structure of isotropic turbulence at very high Reynolds numbers. J. Fluid Mech. 1959, 5, 497-453.
    • (1959) J. Fluid Mech. , vol.5 , pp. 497-453
    • Kraichnan, R.H.1
  • 4
    • 0033150002 scopus 로고    scopus 로고
    • Subgrid-scale parameterizations of eddy-topographic force, eddy viscosity and stochastic backscatter for flow over topography
    • Frederiksen, J.S. Subgrid-scale parameterizations of eddy-topographic force, eddy viscosity and stochastic backscatter for flow over topography. J. Atmos. Sci. 1999, 56, 1481-1494.
    • (1999) J. Atmos. Sci. , vol.56 , pp. 1481-1494
    • Frederiksen, J.S.1
  • 5
    • 0000969333 scopus 로고
    • Self-consistent-field approach to turbulence theory
    • Herring, J.R. Self-consistent-field approach to turbulence theory. Phys. Fluid. 1965, 8, 2219-2225.
    • (1965) Phys. Fluid. , vol.8 , pp. 2219-2225
    • Herring, J.R.1
  • 6
    • 0012206981 scopus 로고
    • A local energy-transfer theory of isotropic turbulence
    • McComb, W.D. A local energy-transfer theory of isotropic turbulence. J. Phys. A 1974, 7, 632-649.
    • (1974) J. Phys. A , vol.7 , pp. 632-649
    • McComb, W.D.1
  • 8
    • 0027974861 scopus 로고
    • Closure theories with non-Gaussian restarts for truncated two-dimensional turbulence
    • Frederiksen, J.S.; Davies, A.G.; Bell, R.C. Closure theories with non-Gaussian restarts for truncated two-dimensional turbulence. Phys. Fluid. 1994, 6, 3153-3163.
    • (1994) Phys. Fluid. , vol.6 , pp. 3153-3163
    • Frederiksen, J.S.1    Davies, A.G.2    Bell, R.C.3
  • 9
    • 37649028180 scopus 로고    scopus 로고
    • Time-ordered fluctuation-dissipation relation for incompressible isotropic turbulence
    • 066303
    • Kiyani, K.; McComb, W.D. Time-ordered fluctuation-dissipation relation for incompressible isotropic turbulence. Phys. Rev. E 2004, 70, 066303, 1-4.
    • (2004) Phys. Rev. E , vol.70 , pp. 1-4
    • Kiyani, K.1    McComb, W.D.2
  • 10
    • 0015430969 scopus 로고
    • Test-field model for inhomogeneous turbulence
    • Kraichnan, R.H. Test-field model for inhomogeneous turbulence. J. Fluid Mech. 1972, 56, 287-304.
    • (1972) J. Fluid Mech. , vol.56 , pp. 287-304
    • Kraichnan, R.H.1
  • 11
    • 33644596201 scopus 로고    scopus 로고
    • Inhomogeneous closure and statistical mechanics for Rossby wave turbulence over topography
    • Frederiksen, J.S.; O'Kane, T.J. Inhomogeneous closure and statistical mechanics for Rossby wave turbulence over topography. J. Fluid Mech. 2005, 539, 137-165.
    • (2005) J. Fluid Mech. , vol.539 , pp. 137-165
    • Frederiksen, J.S.1    O'Kane, T.J.2
  • 12
    • 2142811137 scopus 로고    scopus 로고
    • The QDIA and regularized QDIA closures for inhomogeneous turbulence over topography J
    • O'Kane, T.J.; Frederiksen, J.S. The QDIA and regularized QDIA closures for inhomogeneous turbulence over topography J. Fluid. Mech. 2004, 65, 133-165.
    • (2004) Fluid. Mech. , vol.65 , pp. 133-165
    • O'Kane, T.J.1    Frederiksen, J.S.2
  • 13
    • 0034351202 scopus 로고    scopus 로고
    • Dynamics and spectra of cumulant update closures for two-dimensional turbulence
    • Frederiksen, J.S; Davies, A.G. Dynamics and spectra of cumulant update closures for two-dimensional turbulence. Geophys. Astrophys. Fluid Dynam. 2000, 92, 197-231.
    • (2000) Geophys. Astrophys. Fluid Dynam. , vol.92 , pp. 197-231
    • Frederiksen, J.S.1    Davies, A.G.2
  • 14
  • 15
    • 0021785265 scopus 로고
    • An efficient non-Markovian theory of non-equilibrium dynamics
    • Rose, H.A. An efficient non-Markovian theory of non-equilibrium dynamics. Physica D 1985, 14, 216-226.
    • (1985) Physica D , vol.14 , pp. 216-226
    • Rose, H.A.1
  • 16
    • 40949091545 scopus 로고    scopus 로고
    • A comparison of statistical dynamical and ensemble prediction methods during blocking
    • O'Kane, T.J.; Frederiksen, J.S. A comparison of statistical dynamical and ensemble prediction methods during blocking. J. Atmos. Sci. 2008, 65, 426-447.
    • (2008) J. Atmos. Sci. , vol.65 , pp. 426-447
    • O'Kane, T.J.1    Frederiksen, J.S.2
  • 17
    • 57149126050 scopus 로고    scopus 로고
    • Comparison of statistical dynamical, square root and ensemble Kalman filters
    • O'Kane, T.J.; Frederiksen, J.S. Comparison of statistical dynamical, square root and ensemble Kalman filters. Entropy 2008, 10, 684-721.
    • (2008) Entropy , vol.10 , pp. 684-721
    • O'Kane, T.J.1    Frederiksen, J.S.2
  • 18
    • 57149122617 scopus 로고    scopus 로고
    • Statistical dynamical subgrid-scale parameterizations for geophysical flows
    • O'Kane, T.J.; Frederiksen, J.S. Statistical dynamical subgrid-scale parameterizations for geophysical flows. Phys. Scr. 2008, T132, 014033.
    • (2008) Phys. Scr. , vol.T132 , pp. 014033
    • O'Kane, T.J.1    Frederiksen, J.S.2
  • 19
    • 0016984033 scopus 로고
    • Eddy viscosity in two and three dimensions
    • Kraichnan, R.H. Eddy viscosity in two and three dimensions. J. Atmos. Sci. 1976, 33, 1521-1536.
    • (1976) J. Atmos. Sci. , vol.33 , pp. 1521-1536
    • Kraichnan, R.H.1
  • 20
    • 0013728596 scopus 로고
    • Eddy diffusivity, eddy noise and subgrid-scale modelling
    • Rose, H.A. Eddy diffusivity, eddy noise and subgrid-scale modelling. J. Fluid Mech. 1977, 81, 719-734.
    • (1977) J. Fluid Mech. , vol.81 , pp. 719-734
    • Rose, H.A.1
  • 21
    • 36549092100 scopus 로고
    • Stochastic backscatter in a subgrid-scale model: Plane shear mixing layer
    • Leith, C.E. Stochastic backscatter in a subgrid-scale model: Plane shear mixing layer. Phys. Fluid. Fluid Dynam. 1990, 2, 297-299.
    • (1990) Phys. Fluid. Fluid Dynam. , vol.2 , pp. 297-299
    • Leith, C.E.1
  • 22
    • 0001957739 scopus 로고
    • General circulation experiments with the primitive equations. I. The basic experiment
    • Smagorinsky, J. General circulation experiments with the primitive equations. I. The basic experiment. Mon. Wea. Rev. 1963, 91, 99-164.
    • (1963) Mon. Wea. Rev. , vol.91 , pp. 99-164
    • Smagorinsky, J.1
  • 23
    • 0018785460 scopus 로고
    • The application of turbulence theory to the formulation of subgrid modelling procedures
    • Leslie, D.C.; Quarini, G.L. The application of turbulence theory to the formulation of subgrid modelling procedures. J. Fluid Mech. 1979, 91, 65-91.
    • (1979) J. Fluid Mech. , vol.91 , pp. 65-91
    • Leslie, D.C.1    Quarini, G.L.2
  • 24
    • 0019728740 scopus 로고
    • Parameterization of small scales of three-dimensional isotropic turbulence utilizing spectral closures
    • Chollet, J.P.; Lesieur, M. Parameterization of small scales of three-dimensional isotropic turbulence utilizing spectral closures. J. Atmos. Sci. 1981, 38, 2747-2757.
    • (1981) J. Atmos. Sci. , vol.38 , pp. 2747-2757
    • Chollet, J.P.1    Lesieur, M.2
  • 25
    • 0001635109 scopus 로고
    • Simulation of the Kolmogorov inertial subrange using an improved subgrid model
    • Chasnov, J.R. Simulation of the Kolmogorov inertial subrange using an improved subgrid model. Phys. Fluid. Fluid Dynam. 1991, 3, 188-200.
    • (1991) Phys. Fluid. Fluid Dynam. , vol.3 , pp. 188-200
    • Chasnov, J.R.1
  • 26
    • 0027529835 scopus 로고
    • An analysis of subgrid-scale interactions in numerically simulated isotropic turbulence
    • Domaradzki, J.A.; Liu, W.; Bracket, M.E. An analysis of subgrid-scale interactions in numerically simulated isotropic turbulence. Phys. Fluid. Fluid Dynam. 1993, 5, 1747-1759.
    • (1993) Phys. Fluid. Fluid Dynam. , vol.5 , pp. 1747-1759
    • Domaradzki, J.A.1    Liu, W.2    Bracket, M.E.3
  • 27
    • 0000820731 scopus 로고
    • Conditional averaging procedure for the elimination of the smallscale modes from incompressible fluid turbulence at high Reynolds numbers
    • McComb, W.D.; Watt, A.G. Conditional averaging procedure for the elimination of the smallscale modes from incompressible fluid turbulence at high Reynolds numbers. Phys. Rev. Lett. 1990, 65, 3281-3284.
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 3281-3284
    • McComb, W.D.1    Watt, A.G.2
  • 28
    • 0035397871 scopus 로고    scopus 로고
    • Conditional mode elimination and the subgridmodelling problem for isotropic turbulence
    • McComb, W.D.; Hunter, A.; Johnson, C. Conditional mode elimination and the subgridmodelling problem for isotropic turbulence. Phys. Fluid. 2001, 13, 2030-2044.
    • (2001) Phys. Fluid. , vol.13 , pp. 2030-2044
    • McComb, W.D.1    Hunter, A.2    Johnson, C.3
  • 29
    • 0035280489 scopus 로고    scopus 로고
    • Conditional mode elimination and scale-invariant dissipation in isotropic turbulence
    • McComb, W.D.; Johnson, C. Conditional mode elimination and scale-invariant dissipation in isotropic turbulence. Physica A 2001, 292, 346-382.
    • (2001) Physica A , vol.292 , pp. 346-382
    • McComb, W.D.1    Johnson, C.2
  • 30
    • 0036503704 scopus 로고    scopus 로고
    • Analysis of spectral eddy viscosity and backscatter in incompressible isotropic turbulence using statistical closure
    • Schilling, O.; Y. Zhou, Y. Analysis of spectral eddy viscosity and backscatter in incompressible isotropic turbulence using statistical closure. Phys. Fluid. 2002, 14, 1244-1258.
    • (2002) Phys. Fluid. , vol.14 , pp. 1244-1258
    • Schilling, O.Y.1    Zhou, Y.2
  • 31
    • 0031395074 scopus 로고    scopus 로고
    • Eddy viscosity and stochastic backscatter parameterizations on the sphere for atmospheric circulation models
    • Frederiksen, J.S.; Davies, A.G. Eddy viscosity and stochastic backscatter parameterizations on the sphere for atmospheric circulation models. J. Atmos. Sci. 1997, 54, 2475-2492.
    • (1997) J. Atmos. Sci. , vol.54 , pp. 2475-2492
    • Frederiksen, J.S.1    Davies, A.G.2
  • 32
    • 73549089938 scopus 로고    scopus 로고
    • Stochastic subgrid parameterizations for simulations of atmospheric baroclinic flows
    • Zidikheri, M.J.; Frederiksen, J.S. Stochastic subgrid parameterizations for simulations of atmospheric baroclinic flows. J. Atmos. Sci. 2009, 66, 2844-2856.
    • (2009) J. Atmos. Sci. , vol.66 , pp. 2844-2856
    • Zidikheri, M.J.1    Frederiksen, J.S.2
  • 34
    • 73849107144 scopus 로고    scopus 로고
    • Stochastic subgrid-scale modelling for non-equilibrium geophysical flows
    • Zidikheri, M.J.; Frederiksen, J.S. Stochastic subgrid-scale modelling for non-equilibrium geophysical flows. Phil. Trans. R. Soc. A 2010, 368, 145-160.
    • (2010) Phil. Trans. R. Soc. A , vol.368 , pp. 145-160
    • Zidikheri, M.J.1    Frederiksen, J.S.2
  • 35
  • 36
    • 0035086606 scopus 로고    scopus 로고
    • A nonlinear dynamical perspective on model error: A proposal for nonlocal stochastic-dynamic parameterization in weather and climate prediction models
    • Palmer, T.N. A nonlinear dynamical perspective on model error: A proposal for nonlocal stochastic-dynamic parameterization in weather and climate prediction models. Quart. J. R. Met. Soc. 2001, 127, 279-304.
    • (2001) Quart. J. R. Met. Soc. , vol.127 , pp. 279-304
    • Palmer, T.N.1
  • 37
    • 33748790664 scopus 로고    scopus 로고
    • Subscale forcing in a global atmospheric circulation model and stochastic parameterisation
    • Seiffert, R.; Blender, R.; Fraedrich, K. Subscale forcing in a global atmospheric circulation model and stochastic parameterisation. Quart. J. R. Met. Soc. 2006, 132, 1-17.
    • (2006) Quart. J. R. Met. Soc. , vol.132 , pp. 1-17
    • Seiffert, R.1    Blender, R.2    Fraedrich, K.3
  • 38
    • 31544461628 scopus 로고    scopus 로고
    • A kinetic energy backscatter algorithm for use in ensemble prediction systems
    • Shutts, G.J. A kinetic energy backscatter algorithm for use in ensemble prediction systems. Quart. J. R. Met. Soc. 2005, 131, 3079-3102.
    • (2005) Quart. J. R. Met. Soc. , vol.131 , pp. 3079-3102
    • Shutts, G.J.1
  • 39
    • 69849107882 scopus 로고    scopus 로고
    • A spectral stochastic kinetic energy backscatter scheme and its impact on flow-dependent predictability in the ECMWF ensemble prediction system
    • Berner, J.; Shutts, G.; Leutbecher, M.; Palmer, T.N. A spectral stochastic kinetic energy backscatter scheme and its impact on flow-dependent predictability in the ECMWF ensemble prediction system. J. Atmos. Sci. 2009, 66, 603-626.
    • (2009) J. Atmos. Sci. , vol.66 , pp. 603-626
    • Berner, J.1    Shutts, G.2    Leutbecher, M.3    Palmer, T.N.4
  • 40
    • 45149100332 scopus 로고    scopus 로고
    • Impact of quasistochastic cellular automaton backscatter on the systematic error and seasonal prediction skill of a global climate model
    • Berner, J.; F.J. Doblas-Reyes, F.J.; Palmer, T.N.; Shutts, G.; Weisheimer, W. Impact of quasistochastic cellular automaton backscatter on the systematic error and seasonal prediction skill of a global climate model. Phil. Trans. R. Soc. A 2008, 366, 2561-2579.
    • (2008) Phil. Trans. R. Soc. A , vol.366 , pp. 2561-2579
    • Berner, J.F.J.1    Doblas-Reyes, F.J.2    Palmer, T.N.3    Shutts, G.4    Weisheimer, W.5
  • 41
    • 57149131010 scopus 로고    scopus 로고
    • Impact of atmospheric small-scale fluctuations on climate sensitivity
    • Seiffert, R.; von Storch, J.-S. Impact of atmospheric small-scale fluctuations on climate sensitivity. Geophys. Res. Lett. 2008, 35, L10704.
    • (2008) Geophys. Res. Lett. , vol.35
    • Seiffert, R.1    von Storch, J.-S.2
  • 42
    • 0000452785 scopus 로고
    • A statistical dynamical theory of strongly nonlinear internal gravity waves
    • Carnevale, G.F.; Frederiksen, J.S. A statistical dynamical theory of strongly nonlinear internal gravity waves. Geophys. Astrophys. Fluid Dynam. 1983, 23, 175-207.
    • (1983) Geophys. Astrophys. Fluid Dynam. , vol.23 , pp. 175-207
    • Carnevale, G.F.1    Frederiksen, J.S.2
  • 43
    • 0001067166 scopus 로고
    • The realizable Markovian closure. I. General theory, with application to three-wave dynamics
    • Bowman, J.C.; Krommes, J.A.; Ottaviani, M. The realizable Markovian closure. I. General theory, with application to three-wave dynamics. Phys. Fluid. B 1993, 5, 3558-3589.
    • (1993) Phys. Fluid. B , vol.5 , pp. 3558-3589
    • Bowman, J.C.1    Krommes, J.A.2    Ottaviani, M.3
  • 45
    • 37349080522 scopus 로고    scopus 로고
    • The origin of nonlinear signatures of planetary wave dynamics: Mean phase space tendencies and contributions from non-Gaussianity
    • Franzke, C.; Majda, A.; Branstator, G. The origin of nonlinear signatures of planetary wave dynamics: Mean phase space tendencies and contributions from non-Gaussianity. J. Atmos. Sci. 2007, 64, 3987-4003.
    • (2007) J. Atmos. Sci. , vol.64 , pp. 3987-4003
    • Franzke, C.1    Majda, A.2    Branstator, G.3
  • 46
    • 0042847422 scopus 로고    scopus 로고
    • The seasonal cycle of interannual variability and the dynamical imprint of the seasonally varying mean state
    • Branstator, G.; Frederiksen, J.S. The seasonal cycle of interannual variability and the dynamical imprint of the seasonally varying mean state. J. Atmos. Sci. 2003, 60, 1577-1592.
    • (2003) J. Atmos. Sci. , vol.60 , pp. 1577-1592
    • Branstator, G.1    Frederiksen, J.S.2
  • 47
    • 20444432201 scopus 로고    scopus 로고
    • Seasonal variability of teleconnection patterns
    • Frederiksen, J.S.; Branstator, G. Seasonal variability of teleconnection patterns. J. Atmos. Sci. 2005, 62, 1346-1365.
    • (2005) J. Atmos. Sci. , vol.62 , pp. 1346-1365
    • Frederiksen, J.S.1    Branstator, G.2
  • 48
    • 77949738950 scopus 로고    scopus 로고
    • Low-frequency climate response and fluctuationdissipation theorems: Theory and practice
    • Majda, A.J.; Gershgorin, B.; Yuan, Y. Low-frequency climate response and fluctuationdissipation theorems: Theory and practice. J. Atmos. Sci. 2010, 67, 1186-1201.
    • (2010) J. Atmos. Sci. , vol.67 , pp. 1186-1201
    • Majda, A.J.1    Gershgorin, B.2    Yuan, Y.3
  • 50
    • 0000840262 scopus 로고
    • Statistical dynamics of classical systems
    • Martin, P.C.; Siggia, E.D.; Rose, H.A. Statistical dynamics of classical systems. Phys. Rev. A 1973, 8, 423-437.
    • (1973) Phys. Rev. A , vol.8 , pp. 423-437
    • Martin, P.C.1    Siggia, E.D.2    Rose, H.A.3


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