메뉴 건너뛰기




Volumn 5, Issue 1, 2005, Pages 103-124

On the double cascades of energy and enstrophy in two-dimensional turbulence Part 2. Approach to the KLB limit and interpretation of experimental evidence

Author keywords

2d turbulence; Energy; Enstrophy; QG turbulence

Indexed keywords


EID: 15844425232     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2005.5.103     Document Type: Article
Times cited : (30)

References (93)
  • 1
    • 5844372131 scopus 로고
    • Spontaneous breaking of reflexional symmetry in real quasi-two- dimensional turbulence: Stochastic travelling waves and helical solitons in atmosphere and laboratory
    • A.Bershadskii, E.Kit, and A. Tsinober, Spontaneous breaking of reflexional symmetry in real quasi-two-dimensional turbulence: stochastic travelling waves and helical solitons in atmosphere and laboratory, Proc. R. Soc. Lond. A 441 (1993), 147-155.
    • (1993) Proc. R. Soc. Lond. A , vol.441 , pp. 147-155
    • Bershadskii, A.1    Kit, E.2    Tsinober, A.3
  • 2
    • 36849111955 scopus 로고
    • Computation of the energy spectrum in homogeneous, two dimensional turbulence
    • G.K. Batchelor, Computation of the energy spectrum in homogeneous, two dimensional turbulence, Phys. Fluids Suppl. II 12 (1969), 233-239.
    • (1969) Phys. Fluids Suppl. II , vol.12 , pp. 233-239
    • Batchelor, G.K.1
  • 3
    • 0034178086 scopus 로고    scopus 로고
    • Influence of friction on the direct cascade of the two dimensional forced turbulence
    • D. Bernard, Influence of friction on the direct cascade of the two dimensional forced turbulence, Europhys. Lett. 50 (2000), 333-339.
    • (2000) Europhys. Lett. , vol.50 , pp. 333-339
    • Bernard, D.1
  • 4
    • 0001891382 scopus 로고    scopus 로고
    • Inverse energy cascade in two dimensional turbulence: Deviations from gaussian behavior
    • G. Boffetta, A. Celani, and M. Vergassola, Inverse energy cascade in two dimensional turbulence: deviations from gaussian behavior, Phys. Rev. E 61 (2000), 29-32.
    • (2000) Phys. Rev. E , vol.61 , pp. 29-32
    • Boffetta, G.1    Celani, A.2    Vergassola, M.3
  • 5
    • 0000039195 scopus 로고
    • Spectrum exponents of the enstrophy cascade in stationary two dimensional homogeneous turbulence
    • V. Borue, Spectrum exponents of the enstrophy cascade in stationary two dimensional homogeneous turbulence, Phys. Rev. Letters 71 (1993), 3967-3970.
    • (1993) Phys. Rev. Letters , vol.71 , pp. 3967-3970
    • Borue, V.1
  • 6
    • 0000489924 scopus 로고
    • Inverse energy cascade in stationary two dimensional homogeneous turbulence
    • _, Inverse energy cascade in stationary two dimensional homogeneous turbulence, Phys. Rev. Letters 72 (1994), 1475-1478.
    • (1994) Phys. Rev. Letters , vol.72 , pp. 1475-1478
  • 7
    • 0000746028 scopus 로고    scopus 로고
    • Spectra in helical three-dimensional homogeneous isotropic turbulence
    • V. Borue and S.A.Orzag, Spectra in helical three-dimensional homogeneous isotropic turbulence, Phys. Rev. E 55 (1997), 7005-7009.
    • (1997) Phys. Rev. E , vol.55 , pp. 7005-7009
    • Borue, V.1    Orzag, S.A.2
  • 8
    • 0030380813 scopus 로고    scopus 로고
    • A wavenumber partitioning scheme for two-dimensional statistical closures
    • J. Bowman, A wavenumber partitioning scheme for two-dimensional statistical closures, J. Sci. Comp. 11 (1996), 343-367.
    • (1996) J. Sci. Comp. , vol.11 , pp. 343-367
    • Bowman, J.1
  • 9
    • 0000418287 scopus 로고    scopus 로고
    • Spectral reduction: A statistical description of turbulence
    • J.C. Bowman, B.A. Shadwick, and P.J. Morrison, Spectral reduction: a statistical description of turbulence, Phys. Rev. Letters 83 (1999), 5491-5494.
    • (1999) Phys. Rev. Letters , vol.83 , pp. 5491-5494
    • Bowman, J.C.1    Shadwick, B.A.2    Morrison, P.J.3
  • 11
  • 12
    • 0001030710 scopus 로고
    • Geostrophic turbulence
    • J.G. Charney, Geostrophic turbulence, J. Atmos. Sci. 28 (1971), 1087-1095.
    • (1971) J. Atmos. Sci. , vol.28 , pp. 1087-1095
    • Charney, J.G.1
  • 13
    • 0037331617 scopus 로고    scopus 로고
    • The joint cascade of energy and helicity in three-dimensional turbulence
    • Q. Chen, S. Chen, and G.L. Eyink, The joint cascade of energy and helicity in three-dimensional turbulence, Phys. Fluids 15 (2003), 361-374.
    • (2003) Phys. Fluids , vol.15 , pp. 361-374
    • Chen, Q.1    Chen, S.2    Eyink, G.L.3
  • 14
    • 11744367814 scopus 로고
    • Statistics of a passive scalar advected by a large-scale two dimensional velocity field: Analytic solution
    • M. Chertkov, G. Falkovich, I. Kolokolov, and V. Lebedev, Statistics of a passive scalar advected by a large-scale two dimensional velocity field: analytic solution, Phys. Rev. E 51 (1995), 5609-5627.
    • (1995) Phys. Rev. E , vol.51 , pp. 5609-5627
    • Chertkov, M.1    Falkovich, G.2    Kolokolov, I.3    Lebedev, V.4
  • 15
    • 5244342537 scopus 로고    scopus 로고
    • On the third moments in helical turbulence
    • O.G. Chkhetiani, On the third moments in helical turbulence, JETP Letters 63 (1996), 808-812.
    • (1996) JETP Letters , vol.63 , pp. 808-812
    • Chkhetiani, O.G.1
  • 16
    • 0034952585 scopus 로고    scopus 로고
    • Horizontal velocity structure functions in the upper troposphere and lower stratosphere. 1. Observations
    • J.Y.N. Cho and E. Lindborg, Horizontal velocity structure functions in the upper troposphere and lower stratosphere. 1. Observations, J. Geophys. Res. 106 D10 (2001), 10,223-10,232.
    • (2001) J. Geophys. Res. , vol.106 D10
    • Cho, J.Y.N.1    Lindborg, E.2
  • 17
    • 0034952585 scopus 로고    scopus 로고
    • Horizontal velocity structure functions in the upper troposphere and lower strato-sphere. 2. Theoretical considerations
    • _, Horizontal velocity structure functions in the upper troposphere and lower strato-sphere. 2. Theoretical considerations, J. Geophys. Res. 106 D10 (2001), 10,223-10,241.
    • (2001) J. Geophys. Res. , vol.106 D10
  • 18
    • 0032777319 scopus 로고
    • Horizontal wavenumber spectra of winds, temperature, and trace gases during the Pacific Exploratory Missions: 2. Gravity waves, quasi-two-dimensional turbulence, and vortical modes
    • J.Y.N. Cho, R.E. Newell, and J.D. Barrick, Horizontal wavenumber spectra of winds, temperature, and trace gases during the Pacific Exploratory Missions: 2. Gravity waves, quasi-two-dimensional turbulence, and vortical modes, J. Geophys. Res. 104 D13 (1990), 16297-16308.
    • (1990) J. Geophys. Res. , vol.104 D13 , pp. 16297-16308
    • Cho, J.Y.N.1    Newell, R.E.2    Barrick, J.D.3
  • 20
    • 15844363777 scopus 로고    scopus 로고
    • personal communication
    • S. Danilov, personal communication.
    • Danilov, S.1
  • 21
    • 15844393899 scopus 로고    scopus 로고
    • Non-universal features of forced 2d turbulence in the energy and enstrophy ranges
    • _, Non-universal features of forced 2d turbulence in the energy and enstrophy ranges, Discrete and Continuous Dynamical Systems Series B 5 (2005), 67-78.
    • (2005) Discrete and Continuous Dynamical Systems Series B , vol.5 , pp. 67-78
  • 22
    • 0035363352 scopus 로고    scopus 로고
    • Forced two-dimensional turbulence in spectral and physical space
    • S. Danilov and D. Gurarie, Forced two-dimensional turbulence in spectral and physical space, Phys. Rev. E 63 (2001), 061208.
    • (2001) Phys. Rev. E , vol.63 , pp. 061208
    • Danilov, S.1    Gurarie, D.2
  • 23
    • 4243674321 scopus 로고    scopus 로고
    • Non-universal features of forced two dimensional turbulence in the energy range
    • _, Non-universal features of forced two dimensional turbulence in the energy range, Phys. Rev. E 63 (2001), 020203.
    • (2001) Phys. Rev. E , vol.63 , pp. 020203
  • 24
    • 0018673867 scopus 로고
    • Stratospheric spectra resembling turbulence
    • E.M. Dewan, Stratospheric spectra resembling turbulence, Science 204 (1979), 832-835.
    • (1979) Science , vol.204 , pp. 832-835
    • Dewan, E.M.1
  • 25
    • 0035277843 scopus 로고    scopus 로고
    • Cascades in helical turbulence
    • P.D. Divletsen and P. Giuliani, Cascades in helical turbulence, Phys. Rev. E 63 (2001), 036304.
    • (2001) Phys. Rev. E , vol.63 , pp. 036304
    • Divletsen, P.D.1    Giuliani, P.2
  • 26
    • 0035505072 scopus 로고    scopus 로고
    • Dissipation in helical turbulence
    • _, Dissipation in helical turbulence, Phys. Fluids 13 (2001), 3508-3509.
    • (2001) Phys. Fluids , vol.13 , pp. 3508-3509
  • 27
    • 0001571746 scopus 로고
    • Exact results on scaling exponents in the two dimensional enstrophy cascade
    • G.L Eyink, Exact results on scaling exponents in the two dimensional enstrophy cascade, Phys. Rev. E 74 (1995), 3800-3803.
    • (1995) Phys. Rev. E , vol.74 , pp. 3800-3803
    • Eyink, G.L.1
  • 28
    • 0001773215 scopus 로고    scopus 로고
    • Exact results on stationary turbulence in two dimensions: Consequences of vorticity conservation
    • _, Exact results on stationary turbulence in two dimensions: Consequences of vorticity conservation, Physica D 91 (1996), 97-142.
    • (1996) Physica D , vol.91 , pp. 97-142
  • 29
    • 33845758718 scopus 로고    scopus 로고
    • Eyink replies
    • _, Eyink replies, Phys. Rev. Letters 76 (1996), 1975.
    • (1996) Phys. Rev. Letters , vol.76 , pp. 1975
  • 30
    • 0035402942 scopus 로고    scopus 로고
    • Dissipation in turbulent solutions of 2d Euler equations
    • _, Dissipation in turbulent solutions of 2d Euler equations, Nonlinearity 14 (2001), 787-802
    • (2001) Nonlinearity , vol.14 , pp. 787-802
  • 31
    • 15844370065 scopus 로고    scopus 로고
    • personal communication
    • _, personal communication.
  • 33
    • 0000261731 scopus 로고
    • Non-local vorticity cascade in two dimensions
    • G. Falkovich and V. Lebedev, Non-local vorticity cascade in two dimensions, Phys. Rev. E, 423 (1994), 1800-1803.
    • (1994) Phys. Rev. E , vol.423 , pp. 1800-1803
    • Falkovich, G.1    Lebedev, V.2
  • 34
    • 0001649917 scopus 로고
    • Universal direct cascade in two dimensional turbulence
    • _, Universal direct cascade in two dimensional turbulence, Phys. Rev. E, 50 (1994), 3883-3899.
    • (1994) Phys. Rev. E , vol.50 , pp. 3883-3899
  • 35
    • 33845801525 scopus 로고    scopus 로고
    • Comment on: Exact results on scaling exponents in the two dimensional enstrophy cascade
    • _, Comment on: Exact results on scaling exponents in the two dimensional enstrophy cascade, Phys. Rev. Letters, 76 (1996), 1974.
    • (1996) Phys. Rev. Letters , vol.76 , pp. 1974
  • 36
    • 0000155620 scopus 로고
    • On the changes in the spectral distribution of kinetic energy for two dimensional non-divergent flow
    • R. Fjortoft, On the changes in the spectral distribution of kinetic energy for two dimensional non-divergent flow, Tellus, 5 (1953), 225-230.
    • (1953) Tellus , vol.5 , pp. 225-230
    • Fjortoft, R.1
  • 37
    • 0021476801 scopus 로고
    • Numerical simulation of the inverse cascade in two dimensional turbulence
    • U. Frisch and P.L. Sulem, Numerical simulation of the inverse cascade in two dimensional turbulence, Phys. Fluids, 27 (1984), 1921-1923.
    • (1984) Phys. Fluids , vol.27 , pp. 1921-1923
    • Frisch, U.1    Sulem, P.L.2
  • 38
    • 0018304075 scopus 로고
    • -5/3 law inertial range in mesoscale two-dimensional turbulence
    • -5/3 law inertial range in mesoscale two-dimensional turbulence, J. Atmos. Sci., 36 (1979), 1950-1954.
    • (1979) J. Atmos. Sci. , vol.36 , pp. 1950-1954
    • Gage, K.S.1
  • 39
    • 0022841259 scopus 로고
    • Theoretical interpretation of atmospheric wavenumber spectra of wind and temperature observed by commercial aircraft during GASP
    • K.S. Gage and G.D. Nastrom, Theoretical interpretation of atmospheric wavenumber spectra of wind and temperature observed by commercial aircraft during GASP, J. Atmos. Sci., 43 (1986), 729-740.
    • (1986) J. Atmos. Sci. , vol.43 , pp. 729-740
    • Gage, K.S.1    Nastrom, G.D.2
  • 40
    • 15844416308 scopus 로고    scopus 로고
    • On the double cascades of energy and enstrophy in two dimensional turbulence. Part 1. Theoretical formulation
    • E. Gkioulekas and K.K. Tung, On the double cascades of energy and enstrophy in two dimensional turbulence. Part 1. Theoretical formulation, Discrete and Continuous Dynamical Systems Series B, 5 (2005), 79-102.
    • (2005) Discrete and Continuous Dynamical Systems Series B , vol.5 , pp. 79-102
    • Gkioulekas, E.1    Tung, K.K.2
  • 41
    • 0003174791 scopus 로고    scopus 로고
    • Exact relationship for third-order structure functions in helical flows
    • T. Gornez, H. Politano, and A. Pouquet, Exact relationship for third-order structure functions in helical flows, Phys. Rev. E, 61 (2000), 5321-5325.
    • (2000) Phys. Rev. E , vol.61 , pp. 5321-5325
    • Gornez, T.1    Politano, H.2    Pouquet, A.3
  • 42
    • 0022044586 scopus 로고
    • Comparison of direct numerical simulation of two dimensional turbulence with two point closure: The effects of intermittency
    • J.R. Herring and J.C. McWilliams, Comparison of direct numerical simulation of two dimensional turbulence with two point closure: the effects of intermittency, J. Fluid. Mech., 153 (1985), 229-242.
    • (1985) J. Fluid. Mech. , vol.153 , pp. 229-242
    • Herring, J.R.1    McWilliams, J.C.2
  • 43
    • 0002424617 scopus 로고
    • Statistical hydromechanics and functionals calculus
    • E. Hopf, Statistical hydromechanics and functionals calculus, J. Ratl. Mech. Anal., 1 (1952), 87-123.
    • (1952) J. Ratl. Mech. Anal. , vol.1 , pp. 87-123
    • Hopf, E.1
  • 44
    • 0035073397 scopus 로고    scopus 로고
    • Energy spectrum in the enstrophy transfer range of two-dimensional forced turbulence
    • T. Ishihira and Y. Kancda, Energy spectrum in the enstrophy transfer range of two-dimensional forced turbulence, Phys. Fluids, 13 (2001), 544-547.
    • (2001) Phys. Fluids , vol.13 , pp. 544-547
    • Ishihira, T.1    Kancda, Y.2
  • 45
    • 0035340851 scopus 로고    scopus 로고
    • -3 energy spectrum in stationary two-dimensional homogeneous turbulence
    • -3 energy spectrum in stationary two-dimensional homogeneous turbulence, Phys. Fluids, 13 (2001), 1431-1439.
    • (2001) Phys. Fluids , vol.13 , pp. 1431-1439
    • Kaneda, Y.1    Ishihira, T.2
  • 46
    • 0035864503 scopus 로고    scopus 로고
    • The horizontal kinetic energy spectrum and spectral budget simulated by a high-resolution troposphere-stratosphere mesosphere GCM
    • J.N. Koshyk and K. Hamilton, The horizontal kinetic energy spectrum and spectral budget simulated by a high-resolution troposphere-stratosphere mesosphere GCM, J. Atmos. Sci., 58 (2001), 329-348.
    • (2001) J. Atmos. Sci. , vol.58 , pp. 329-348
    • Koshyk, J.N.1    Hamilton, K.2
  • 47
    • 0033117731 scopus 로고    scopus 로고
    • -5/3 mesoscale spectral regime in the GFDL SKYHI general circulation model
    • -5/3 mesoscale spectral regime in the GFDL SKYHI general circulation model, Geophys. Res. Lett., 26 (1999), 843-846.
    • (1999) Geophys. Res. Lett. , vol.26 , pp. 843-846
    • Koshyk, J.N.1    Hamilton, K.2    Mahlman, J.D.3
  • 48
    • 36849114603 scopus 로고
    • Inertial ranges in two dimensional turbulence
    • R.H. Kraichnan, Inertial ranges in two dimensional turbulence, Phys. Fluids, 10 (1967), 1417-1423.
    • (1967) Phys. Fluids , vol.10 , pp. 1417-1423
    • Kraichnan, R.H.1
  • 49
    • 0000377671 scopus 로고
    • An almost Markovian Galilean invariant turbulence model
    • _, An almost Markovian Galilean invariant turbulence model, J. Fluid. Mech., 47 (1971), 513 524.
    • (1971) J. Fluid. Mech. , vol.47 , pp. 513524
  • 50
    • 84908820517 scopus 로고
    • Inertial range transfer in two and three dimensional turbulence
    • _, Inertial range transfer in two and three dimensional turbulence, J. Fluid. Mech., 47 (1971), 525-535.
    • (1971) J. Fluid. Mech. , vol.47 , pp. 525-535
  • 51
    • 36849098456 scopus 로고
    • Diffusion approximation for two dimensional turbulence
    • C.E. Leith, Diffusion approximation for two dimensional turbulence, Phys. Fluids, 11 (1968), 671-673.
    • (1968) Phys. Fluids , vol.11 , pp. 671-673
    • Leith, C.E.1
  • 52
    • 0020969393 scopus 로고
    • Stratified turbulence and the mesoscale variability of the atmosphere
    • D.K. Lilly, Stratified turbulence and the mesoscale variability of the atmosphere, J. Atmos. Sci., 40 (1983), 749-761.
    • (1983) J. Atmos. Sci. , vol.40 , pp. 749-761
    • Lilly, D.K.1
  • 53
    • 0024785234 scopus 로고
    • Two dimensional turbulence generated by energy sources at two scales
    • _, Two dimensional turbulence generated by energy sources at two scales, J. Atmos. Sci., 46 (1989), 2026-2030.
    • (1989) J. Atmos. Sci. , vol.46 , pp. 2026-2030
  • 54
    • 0032673434 scopus 로고    scopus 로고
    • Can the atmospheric kinetic energy spectrum be explained by two dimensional turbulence?
    • E. Lindborg, Can the atmospheric kinetic energy spectrum be explained by two dimensional turbulence?, J. Fluid. Mech.,388 (1999), 259-288.
    • (1999) J. Fluid. Mech. , vol.388 , pp. 259-288
    • Lindborg, E.1
  • 55
    • 0034115058 scopus 로고    scopus 로고
    • The kinetic energy spectrum of two dimensional enstrophy turbulence cascade
    • E. Lindborg and K. Alvelius, The kinetic energy spectrum of two dimensional enstrophy turbulence cascade, Phys. Fluids, 12 (2000), 945-947.
    • (2000) Phys. Fluids , vol.12 , pp. 945-947
    • Lindborg, E.1    Alvelius, K.2
  • 56
    • 2442437173 scopus 로고    scopus 로고
    • Cornerstones of a theory of anomalous scaling in turbulence
    • V.S. L'vov and I. Procaccia, Cornerstones of a theory of anomalous scaling in turbulence, Physica Scripta T64 (1996), 131-135.
    • (1996) Physica Scripta , vol.T64 , pp. 131-135
    • L'vov, V.S.1    Procaccia, I.2
  • 57
    • 0001650431 scopus 로고    scopus 로고
    • Exact resummations in the theory of hydrodynamic turbulence. III. Scenarios for anomalous scaling and intermittency
    • _, Exact resummations in the theory of hydrodynamic turbulence. III. Scenarios for anomalous scaling and intermittency, Phys. Rev. E, 53 (1996), 3468-3490.
    • (1996) Phys. Rev. E , vol.53 , pp. 3468-3490
  • 58
    • 7244245377 scopus 로고    scopus 로고
    • Fusion rules in turbulent systems with flux equilibrium
    • _, Fusion rules in turbulent systems with flux equilibrium, Phys. Rev. Letters, 76 (1996), 2898-2901.
    • (1996) Phys. Rev. Letters , vol.76 , pp. 2898-2901
  • 59
    • 0000147745 scopus 로고    scopus 로고
    • Towards a nonperturbative theory of hydrodynamic turbulence: Fusion rules, exact bridge relations, and anomalous viscous scaling functions
    • _, Towards a nonperturbative theory of hydrodynamic turbulence: fusion rules, exact bridge relations, and anomalous viscous scaling functions, Phys. Rev. E, 54 (1996), 6268-6284.
    • (1996) Phys. Rev. E , vol.54 , pp. 6268-6284
  • 60
    • 0347864634 scopus 로고    scopus 로고
    • Viscous lengths in hydrodynamic turbulence are anomalous scaling functions
    • _, Viscous lengths in hydrodynamic turbulence are anomalous scaling functions, Phys. Rev. Letters, 77 (1996), 3541-3544.
    • (1996) Phys. Rev. Letters , vol.77 , pp. 3541-3544
  • 62
    • 0011614892 scopus 로고
    • (G.Comte-Bellot and J. Mathieu, eds.), Springer-Verlag, Berlin
    • H.K. Moffatt, Advances in Turbulence (G.Comte-Bellot and J. Mathieu, eds.), Springer-Verlag, Berlin, 1986, p. 284.
    • (1986) Advances in Turbulence , pp. 284
    • Moffatt, H.K.1
  • 63
    • 21344469178 scopus 로고    scopus 로고
    • Helical scaling in turbulence
    • S.S. Moiseev and O.G. Chkhetiani, Helical scaling in turbulence, JETP, 83 (1996), 192-198.
    • (1996) JETP , vol.83 , pp. 192-198
    • Moiseev, S.S.1    Chkhetiani, O.G.2
  • 64
    • 0000023936 scopus 로고    scopus 로고
    • K spectrum of finite lifetime passive scalars in lagrangian chaotic fluid flow
    • K. Nam, T.M. Antonsen, P.N. Guzdar, and E. Ott, k spectrum of finite lifetime passive scalars in lagrangian chaotic fluid flow, Phys. Rev. Letters, 83 (1999), 3426-3429.
    • (1999) Phys. Rev. Letters , vol.83 , pp. 3426-3429
    • Nam, K.1    Antonsen, T.M.2    Guzdar, P.N.3    Ott, E.4
  • 65
    • 0022266328 scopus 로고
    • A climatology of atmospheric wave number spectra of wind and temperature observed by commercial aircraft
    • G.D. Nastrom and K.S. Gage, A climatology of atmospheric wave number spectra of wind and temperature observed by commercial aircraft, J. Atmos. Sci., 42 (1984), 950-960.
    • (1984) J. Atmos. Sci. , vol.42 , pp. 950-960
    • Nastrom, G.D.1    Gage, K.S.2
  • 67
    • 0000358855 scopus 로고    scopus 로고
    • Experimental observation of two dimensional inverse energy cascade
    • J. Paret and P. Tabeling, Experimental observation of two dimensional inverse energy cascade, Phys. Rev. Letters, 79 (1997), 4162-4165.
    • (1997) Phys. Rev. Letters , vol.79 , pp. 4162-4165
    • Paret, J.1    Tabeling, P.2
  • 68
    • 0000163952 scopus 로고    scopus 로고
    • Intermittency in the two dimensional inverse cascade of energy: Experimental observations
    • _, Intermittency in the two dimensional inverse cascade of energy: experimental observations, Phys. Fluids, 10 (1998), 3126-3136.
    • (1998) Phys. Fluids , vol.10 , pp. 3126-3136
  • 69
    • 41349083329 scopus 로고    scopus 로고
    • Stationary spectrum of vorticity cascade in two dimensional turbulence
    • C. Pasquero and G. Falkovich, Stationary spectrum of vorticity cascade in two dimensional turbulence, Phys. Rev. E, 65 (2002), 056305.
    • (2002) Phys. Rev. E , vol.65 , pp. 056305
    • Pasquero, C.1    Falkovich, G.2
  • 70
    • 15844364897 scopus 로고
    • The effect of initial boundary conditions, upon the formation and development of turbulent structure
    • (J. Lielpeteris and R. Morue, eds.), Kluwer, Dordecht
    • I. Platnieks and S.F. Seluto, The effect of initial boundary conditions, upon the formation and development of turbulent structure., Liquid metal magnetohydrodynamics (J. Lielpeteris and R. Morue, eds.), Kluwer, Dordecht, 1989, pp. 433-439.
    • (1989) Liquid Metal Magnetohydrodynamics , pp. 433-439
    • Platnieks, I.1    Seluto, S.F.2
  • 71
    • 13644254651 scopus 로고
    • The theory of turbulence in two dimensions
    • A.M. Polyakov, The theory of turbulence in two dimensions, Nuclear Physics B, 396 (1993), 367-385.
    • (1993) Nuclear Physics B , vol.396 , pp. 367-385
    • Polyakov, A.M.1
  • 72
    • 0000455520 scopus 로고
    • Turbulence without pressure
    • _, Turbulence without pressure, Phys. Rev. E, 52 (1995), 6183-6188.
    • (1995) Phys. Rev. E , vol.52 , pp. 6183-6188
  • 73
    • 0016577854 scopus 로고
    • Evolution of high reynolds number two-dimensional turbulence
    • A. Pouquet, M. Lesieur, J.C. Andre, and C. Basdevant, Evolution of high reynolds number two-dimensional turbulence, J. Fluid. Mech., 75 (1975), 305-319.
    • (1975) J. Fluid. Mech. , vol.75 , pp. 305-319
    • Pouquet, A.1    Lesieur, M.2    Andre, J.C.3    Basdevant, C.4
  • 74
    • 0018712536 scopus 로고
    • Geostrophic turbulence
    • P.B. Rhines, Geostrophic turbulence, Ann. Rev. Fluid Mech., 11 (1979), 401-441.
    • (1979) Ann. Rev. Fluid Mech. , vol.11 , pp. 401-441
    • Rhines, P.B.1
  • 75
    • 0015203295 scopus 로고
    • On the spectrum and decay of random two dimensional vorticity distributions at large reynolds number
    • P.G. Saffman, On the spectrum and decay of random two dimensional vorticity distributions at large reynolds number, Stud. Appl. Math., 50 (1971), 377.
    • (1971) Stud. Appl. Math. , vol.50 , pp. 377
    • Saffman, P.G.1
  • 76
    • 0034205194 scopus 로고    scopus 로고
    • Energy spectra of steady two dimensional turbulence flows
    • N. Schorghofer, Energy spectra of steady two dimensional turbulence flows, Phys. Rev. E, 61 (1999), 6572-6577.
    • (1999) Phys. Rev. E , vol.61 , pp. 6572-6577
    • Schorghofer, N.1
  • 77
    • 0001099620 scopus 로고
    • Point vortex simulation of the inverse energy cascade in two dimensional turbulence
    • E.D. Siggia and H. Aref, Point vortex simulation of the inverse energy cascade in two dimensional turbulence, Phys. Fluids, 24 (1981), 171-173.
    • (1981) Phys. Fluids , vol.24 , pp. 171-173
    • Siggia, E.D.1    Aref, H.2
  • 78
    • 5444236105 scopus 로고    scopus 로고
    • -5/3 energy spectrum of the atmospheric turbulence: Quasi-geostrophic two level model simulation
    • -5/3 energy spectrum of the atmospheric turbulence: quasi-geostrophic two level model simulation, J. Atmos. Sci., 61 (2004), 937-942
    • (2004) J. Atmos. Sci. , vol.61 , pp. 937-942
    • Smith, K.S.1
  • 79
    • 0001311276 scopus 로고
    • Bose condensation and small-scale structure generation in a random force driven 2d turbulence
    • L.M. Smith and V. Yakhot, Bose condensation and small-scale structure generation in a random force driven 2d turbulence, Phys. Rev. Letters, 71 (1993), x352-355.
    • (1993) Phys. Rev. Letters , vol.71
    • Smith, L.M.1    Yakhot, V.2
  • 80
    • 0028501559 scopus 로고
    • Finite size effects in forced two dimensional turbulence
    • _, Finite size effects in forced two dimensional turbulence, J. Fluid. Mech., 274 (1994), 115-138.
    • (1994) J. Fluid. Mech. , vol.274 , pp. 115-138
  • 81
    • 0032613364 scopus 로고    scopus 로고
    • Large-scale drag representation in simulations of two dimensional turbulence
    • S. Sukoriansky, B. Galperin, and A. Chekhlov, Large-scale drag representation in simulations of two dimensional turbulence, Phys. Fluids, 11 (1999), 3043-3053.
    • (1999) Phys. Fluids , vol.11 , pp. 3043-3053
    • Sukoriansky, S.1    Galperin, B.2    Chekhlov, A.3
  • 82
    • 0036220726 scopus 로고    scopus 로고
    • Two dimensional turbulence: A physicist approach
    • P. Tabeling, Two dimensional turbulence: a physicist approach, Phys. Rep., 362 (2002), 1-62.
    • (2002) Phys. Rep. , vol.362 , pp. 1-62
    • Tabeling, P.1
  • 83
    • 42749107519 scopus 로고    scopus 로고
    • Robustness of the inverse cascade in two dimensional turbulence
    • C.V. Tran and J.C. Bowman, Robustness of the inverse cascade in two dimensional turbulence, Phys. Rev. E, 69 (2004), 036303
    • (2004) Phys. Rev. E , vol.69 , pp. 036303
    • Tran, C.V.1    Bowman, J.C.2
  • 84
    • 0037367621 scopus 로고    scopus 로고
    • On the dual cascade in two dimensional turbulence
    • _, On the dual cascade in two dimensional turbulence, Physica D, 176 (2003), 242-255.
    • (2003) Physica D , vol.176 , pp. 242-255
  • 85
    • 0037092996 scopus 로고    scopus 로고
    • Constraints on the spectral distribution of energy and enstrophy dissipation in forced two dimensional turbulence
    • C.V. Tran and T.G. Shepherd, Constraints on the spectral distribution of energy and enstrophy dissipation in forced two dimensional turbulence, Physica D, 165 (2002), 199-212.
    • (2002) Physica D , vol.165 , pp. 199-212
    • Tran, C.V.1    Shepherd, T.G.2
  • 86
    • 15844406486 scopus 로고    scopus 로고
    • The hydrodynamics of two-dimensional turbulence: Relation between self-similar ranges and anomaly of third moments
    • A.L. Tseskis, The hydrodynamics of two-dimensional turbulence: Relation between self-similar ranges and anomaly of third moments, JETP, 95 (2002), 49-56.
    • (2002) JETP , vol.95 , pp. 49-56
    • Tseskis, A.L.1
  • 87
    • 5444266444 scopus 로고    scopus 로고
    • Reply to comments by K. Shafer Smith
    • K.K. Tung, Reply to comments by K. Shafer Smith, J. Atmos. Sci., 61 (2004), 937-948
    • (2004) J. Atmos. Sci. , vol.61 , pp. 937-948
    • Tung, K.K.1
  • 88
    • 0043096216 scopus 로고    scopus 로고
    • -5/3 energy spectrum of the atmospheric turbulence: Quasi-geostrophic two level model simulation
    • -5/3 energy spectrum of the atmospheric turbulence: quasi-geostrophic two level model simulation, J. Atmos. Sci., 60 (2003), 824-835.
    • (2003) J. Atmos. Sci. , vol.60 , pp. 824-835
    • Tung, K.K.1    Orlando, W.W.2
  • 89
    • 0041884727 scopus 로고    scopus 로고
    • On the differences between 2d and qg turbulence
    • _, On the differences between 2d and qg turbulence, Discrete and Continuous Dynamical Systems Series B, 3 (2003), 145-162.
    • (2003) Discrete and Continuous Dynamical Systems Series B , vol.3 , pp. 145-162
  • 90
    • 0035878218 scopus 로고    scopus 로고
    • Remarks on note on geostrophic turbulence
    • K.K. Tung and W.T. Welch, Remarks on note on geostrophic turbulence, J. Atmos. Sci., 58 (2001), 2009-2012.
    • (2001) J. Atmos. Sci. , vol.58 , pp. 2009-2012
    • Tung, K.K.1    Welch, W.T.2
  • 91
    • 0020463317 scopus 로고
    • A universal spectrum of buoyancy waves in the atmosphere
    • T.E. VanZadt, A universal spectrum of buoyancy waves in the atmosphere, Geophys. Res. Lett., 9 (1982), 575-578.
    • (1982) Geophys. Res. Lett. , vol.9 , pp. 575-578
    • VanZadt, T.E.1
  • 92
    • 6244227310 scopus 로고
    • The nature of triad interactions in homogeneous turbulence
    • F. Waleffe, The nature of triad interactions in homogeneous turbulence, Phys. Fluids A, 4 (1992), 350-363.
    • (1992) Phys. Fluids A , vol.4 , pp. 350-363
    • Waleffe, F.1
  • 93
    • 0000048852 scopus 로고    scopus 로고
    • Two dimensional turbulence in the inverse cascade range
    • V. Yakhot, Two dimensional turbulence in the inverse cascade range, Phys. Rev. E, 60 (1999), 5544-5551.
    • (1999) Phys. Rev. E , vol.60 , pp. 5544-5551
    • Yakhot, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.