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Volumn 11, Issue 2, 1999, Pages 334-343

The structure of energy conserving low-order models

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EID: 0000977103     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869883     Document Type: Article
Times cited : (50)

References (41)
  • 1
    • 0000762785 scopus 로고
    • Low-order models of atmospheric circulations
    • E. N. Lorenz, "Low-order models of atmospheric circulations," J. Meteorol. Soc. Jpn. 60, 255 (1982).
    • (1982) J. Meteorol. Soc. Jpn. , vol.60 , pp. 255
    • Lorenz, E.N.1
  • 3
    • 0000258818 scopus 로고
    • Scaling and dissipation in the GOY shell model
    • L. Kadanoff, D. Lohse, J. Wang, and R. Benzi, "Scaling and dissipation in the GOY shell model," Phys. Fluids 7, 617 (1995).
    • (1995) Phys. Fluids , vol.7 , pp. 617
    • Kadanoff, L.1    Lohse, D.2    Wang, J.3    Benzi, R.4
  • 5
    • 6244290638 scopus 로고
    • Spatial Fourier modes controlling Navier-Stokes flow
    • Y. M. Treve, "Spatial Fourier modes controlling Navier-Stokes flow," Phys. Scr. T2/1, 100 (1982).
    • (1982) Phys. Scr. , vol.T2-1 , pp. 100
    • Treve, Y.M.1
  • 7
    • 0001512695 scopus 로고
    • Energy conserving Galerkin approximations for 2-D hydrodynamic and MHD Bénard convection
    • Y. M. Treve and O. P. Manley, "Energy conserving Galerkin approximations for 2-D hydrodynamic and MHD Bénard convection," Physica D 4, 319 (1982).
    • (1982) Physica D , vol.4 , pp. 319
    • Treve, Y.M.1    Manley, O.P.2
  • 8
    • 0022777966 scopus 로고
    • Large-scale flow in turbulent convection: A mathematical model
    • L. N. Howard and R. Krishnamurti, "Large-scale flow in turbulent convection: a mathematical model," J. Fluid Mech. 170, 385 (1986).
    • (1986) J. Fluid Mech. , vol.170 , pp. 385
    • Howard, L.N.1    Krishnamurti, R.2
  • 9
    • 0029672417 scopus 로고    scopus 로고
    • Energy-conserving truncations for convection with shear flow
    • J.-L. Thiffeault and W. Horton, "Energy-conserving truncations for convection with shear flow," Phys. Fluids 8, 1715 (1996).
    • (1996) Phys. Fluids , vol.8 , pp. 1715
    • Thiffeault, J.-L.1    Horton, W.2
  • 10
    • 0001170235 scopus 로고
    • Improved low-order model for shear flow driven by Rayleigh-Bénard convection
    • K. B. Hermiz, P. N. Guzdar, and J. M. Finn, "Improved low-order model for shear flow driven by Rayleigh-Bénard convection," Phys. Rev. E 51, 325 (1995).
    • (1995) Phys. Rev. E , vol.51 , pp. 325
    • Hermiz, K.B.1    Guzdar, P.N.2    Finn, J.M.3
  • 11
    • 11944265810 scopus 로고
    • Magnetoconvection dynamics in a stratified layer. II. A low-order model of tilting instability
    • S. R. Lantz, "Magnetoconvection dynamics in a stratified layer. II. A low-order model of tilting instability," Astrophys. J. 441, 925 (1995).
    • (1995) Astrophys. J. , vol.441 , pp. 925
    • Lantz, S.R.1
  • 12
    • 0346945406 scopus 로고    scopus 로고
    • Analysis of shearing instability in convection and magnetoconvection
    • A. M. Rucklidge and P. C. Matthews, "Analysis of shearing instability in convection and magnetoconvection," Nonlinearity 9, 311 (1996).
    • (1996) Nonlinearity , vol.9 , pp. 311
    • Rucklidge, A.M.1    Matthews, P.C.2
  • 13
    • 0002690609 scopus 로고
    • Integral invariants in hydrodynamic systems
    • JA. M. Obukhov, "Integral invariants in hydrodynamic systems," Sov. Phys. Dokl. 14, 32 (1969); "Some general properties of equations describing the dynamics of the atmosphere," Izv., Acad. Sci., USSR, Atmos. Oceanic Phys. 7, 471 (1971).
    • (1969) Sov. Phys. Dokl. , vol.14 , pp. 32
    • Obukhov, J.A.M.1
  • 14
    • 1342267837 scopus 로고
    • Some general properties of equations describing the dynamics of the atmosphere
    • JA. M. Obukhov, "Integral invariants in hydrodynamic systems," Sov. Phys. Dokl. 14, 32 (1969); "Some general properties of equations describing the dynamics of the atmosphere," Izv., Acad. Sci., USSR, Atmos. Oceanic Phys. 7, 471 (1971).
    • (1971) Izv., Acad. Sci., USSR, Atmos. Oceanic Phys. , vol.7 , pp. 471
  • 15
    • 0043144464 scopus 로고
    • On simple models for simulation of nonlinear processes in convection and turbulence
    • A. M. Obukhov and F. V. Dolzhansky, "On simple models for simulation of nonlinear processes in convection and turbulence," Geophys. Fluid Dyn. 6, 195 (1975).
    • (1975) Geophys. Fluid Dyn. , vol.6 , pp. 195
    • Obukhov, A.M.1    Dolzhansky, F.V.2
  • 16
    • 0000674042 scopus 로고
    • Nonlinear systems that are superpositions of gyrostats
    • A. Gluhovsky, "Nonlinear systems that are superpositions of gyrostats," Sov. Phys. Dokl. 27, 823 (1982).
    • (1982) Sov. Phys. Dokl. , vol.27 , pp. 823
    • Gluhovsky, A.1
  • 17
    • 0001083659 scopus 로고
    • Sur la théorie des variations des latitudes
    • V. Volterra, "Sur la théorie des variations des latitudes," Acta Math. 22, 201 (1899).
    • (1899) Acta Math. , vol.22 , pp. 201
    • Volterra, V.1
  • 19
    • 2142790461 scopus 로고
    • On systems of coupled gyrostats in problems of geophysical hydrodynamics
    • A. Gluhovsky, "On systems of coupled gyrostats in problems of geophysical hydrodynamics," Izv., Acad. Sci., USSR, Atmos. Oceanic Phys. 22, 543 (1986).
    • (1986) Izv., Acad. Sci., USSR, Atmos. Oceanic Phys. , vol.22 , pp. 543
    • Gluhovsky, A.1
  • 20
    • 0031466448 scopus 로고    scopus 로고
    • An interpretation of atmospheric low-order models
    • A. Gluhovsky and E. Agee, "An interpretation of atmospheric low-order models," J. Atmos. Sci. 54, 768 (1997).
    • (1997) J. Atmos. Sci. , vol.54 , pp. 768
    • Gluhovsky, A.1    Agee, E.2
  • 21
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • E. N. Lorenz, "Deterministic nonperiodic flow," J. Atmos. Sci. 20, 130 (1963).
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130
    • Lorenz, E.N.1
  • 22
    • 0009511560 scopus 로고
    • A model for magnetohydrodynamic convection relevant to the solar dynamo problem
    • R. G. Kennett, "A model for magnetohydrodynamic convection relevant to the solar dynamo problem," Stud. Appl. Math. 55, 65 (1976).
    • (1976) Stud. Appl. Math. , vol.55 , pp. 65
    • Kennett, R.G.1
  • 23
    • 38249011629 scopus 로고
    • Nonequilibrium phase transition in a system with chaotic dynamics. The ABCDE model
    • R. Friedrich and H. Haken, "Nonequilibrium phase transition in a system with chaotic dynamics. The ABCDE model," Phys. Lett. A 164, 299 (1992).
    • (1992) Phys. Lett. A , vol.164 , pp. 299
    • Friedrich, R.1    Haken, H.2
  • 26
    • 0000670926 scopus 로고
    • Finite amplitude free convection as an initial value problem-I
    • B. Saltzman, "Finite amplitude free convection as an initial value problem-I," J. Atmos. Sci. 19, 329 (1962).
    • (1962) J. Atmos. Sci. , vol.19 , pp. 329
    • Saltzman, B.1
  • 27
    • 0000433525 scopus 로고
    • Available potential energy and the maintenance of the general circulation
    • E. N. Lorenz, "Available potential energy and the maintenance of the general circulation," Tellus 7, 157 (1955).
    • (1955) Tellus , vol.7 , pp. 157
    • Lorenz, E.N.1
  • 29
    • 0002020829 scopus 로고
    • Analogy between higher instabilities in fluids and lasers
    • H. Haken, "Analogy between higher instabilities in fluids and lasers," Phys. Lett. A 53, 77 (1975).
    • (1975) Phys. Lett. A , vol.53 , pp. 77
    • Haken, H.1
  • 30
    • 0000432310 scopus 로고
    • Chaos in the segmented disc dynamo
    • E. Knobloch, "Chaos in the segmented disc dynamo," Phys. Lett. A 82, 439 (1981).
    • (1981) Phys. Lett. A , vol.82 , pp. 439
    • Knobloch, E.1
  • 31
    • 2142723411 scopus 로고
    • Structure of Galerkin approximations for Rayleigh-Bénard convection
    • A. Gluhovsky, "Structure of Galerkin approximations for Rayleigh-Bénard convection," Dokl. Acad. Sci. USSR, Earth Sci. Sec. 286, 36 (1986).
    • (1986) Dokl. Acad. Sci. USSR, Earth Sci. Sec. , vol.286 , pp. 36
    • Gluhovsky, A.1
  • 32
    • 0009544363 scopus 로고
    • Modeling of two-dimensional turbulence effects in a cascade system of coupled gyrostats
    • A. Gluhovsky, "Modeling of two-dimensional turbulence effects in a cascade system of coupled gyrostats," Izv., Acad. Sci., USSR, Atmos. Oceanic Phys. 25, 927 (1989).
    • (1989) Izv., Acad. Sci., USSR, Atmos. Oceanic Phys. , vol.25 , pp. 927
    • Gluhovsky, A.1
  • 33
    • 0001277608 scopus 로고
    • The local structure of turbulence in incompressible viscous fluid for very large Reynolds number
    • A. N. Kolmogorov, "The local structure of turbulence in incompressible viscous fluid for very large Reynolds number," Dokl. Akad. Nauk SSSR 30, 301 (1941).
    • (1941) Dokl. Akad. Nauk SSSR , vol.30 , pp. 301
    • Kolmogorov, A.N.1
  • 34
    • 0017443025 scopus 로고
    • Nonlinear cascade models for fully developed turbulence
    • T. L. Bell and M. Nelkin, "Nonlinear cascade models for fully developed turbulence," Phys. Fluids 20, 345 (1977); "Time-dependent scaling relations and a cascade model of turbulence," J. Fluid Mech. 88, 369 (1978).
    • (1977) Phys. Fluids , vol.20 , pp. 345
    • Bell, T.L.1    Nelkin, M.2
  • 35
    • 0018007527 scopus 로고
    • Time-dependent scaling relations and a cascade model of turbulence
    • T. L. Bell and M. Nelkin, "Nonlinear cascade models for fully developed turbulence," Phys. Fluids 20, 345 (1977); "Time-dependent scaling relations and a cascade model of turbulence," J. Fluid Mech. 88, 369 (1978).
    • (1978) J. Fluid Mech. , vol.88 , pp. 369
  • 37
    • 0002438059 scopus 로고
    • On the distribution of energy in the spectrum of turbulent flow
    • A. M. Obukhov, "On the distribution of energy in the spectrum of turbulent flow," Dokl. Akad. Nauk SSSR 32, 22 (1941).
    • (1941) Dokl. Akad. Nauk SSSR , vol.32 , pp. 22
    • Obukhov, A.M.1
  • 38
    • 85034544932 scopus 로고
    • Master's thesis, University of Texas at Austin, Institute for Fusion Studies Report No. 715
    • J.-L. Thiffeault, Master's thesis, University of Texas at Austin, Institute for Fusion Studies Report No. 715, 1995.
    • (1995)
    • Thiffeault, J.-L.1
  • 39
    • 5744226072 scopus 로고
    • Modeling turbulence by systems of coupled gyrostats
    • edited by N. Fitzmaurice et al. Birkhäuser, Boston
    • A. Gluhovsky, "Modeling turbulence by systems of coupled gyrostats," in Nonlinear Waves and Weak Turbulence, edited by N. Fitzmaurice et al. (Birkhäuser, Boston, 1993).
    • (1993) Nonlinear Waves and Weak Turbulence
    • Gluhovsky, A.1
  • 40
    • 0028007829 scopus 로고
    • Chaos in geophysical fluids. I. General introduction
    • R. Hide, "Chaos in geophysical fluids. I. General introduction," Philos. Trans. R. Soc. London, Ser. A 348, 431 (1994).
    • (1994) Philos. Trans. R. Soc. London, Ser. A , vol.348 , pp. 431
    • Hide, R.1


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