메뉴 건너뛰기




Volumn 3, Issue 2, 2003, Pages 145-162

On the differences between 2D and QG turbulence

Author keywords

2D turbulence; Energy; Enstrophy; Power laws; QG turbulence; Spectrum; Surface quasigeostrophy

Indexed keywords


EID: 0041884727     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (24)

References (62)
  • 1
    • 0019637009 scopus 로고
    • A study of barotropic model flows: Intermittency, waves, and predictability
    • C. Basdevant, B. Legras, R. Sadourny, and M. Beland, A study of barotropic model flows: intermittency, waves, and predictability, J. Atmos. Sci., 38, 1981, 2305-2326.
    • (1981) J. Atmos. Sci. , vol.38 , pp. 2305-2326
    • Basdevant, C.1    Legras, B.2    Sadourny, R.3    Beland, M.4
  • 3
    • 84987145665 scopus 로고
    • The quasigeostrophic equations: Approximation, predictability and equilibrium spectra of solutions
    • A.F. Bennett and P.E. Kloeden, The quasigeostrophic equations: approximation, predictability and equilibrium spectra of solutions, Quart. J. Roy. Met. Soc., 107, 1981a, 121-136.
    • (1981) Quart. J. Roy. Met. Soc. , vol.107 , pp. 121-136
    • Bennett, A.F.1    Kloeden, P.E.2
  • 5
    • 84976137479 scopus 로고
    • The periodic quasigeostrophic equations: Existence and uniqueness of strong solutions
    • A.F. Bennett and P.E. Kloeden, The periodic quasigeostrophic equations: existence and uniqueness of strong solutions, Proceedings of Royal Society of Edinburgh, 91A, 1982, 105-203.
    • (1982) Proceedings of Royal Society of Edinburgh , vol.91 A , pp. 105-203
    • Bennett, A.F.1    Kloeden, P.E.2
  • 6
    • 0010414321 scopus 로고
    • Uniform potential vorticity flow: Part I. Theory of wave interactions and two-dimensional turbulence
    • W. Blumen, Uniform potential vorticity flow: Part I. Theory of wave interactions and two-dimensional turbulence, J. Atmos. Sci., 35, 1978a, 774-783.
    • (1978) J. Atmos. Sci. , vol.35 , pp. 774-783
    • Blumen, W.1
  • 7
    • 0042094383 scopus 로고
    • Uniform potential vorticity flow: Part II. A model of wave interactions
    • W. Blumen, Uniform potential vorticity flow: Part II. A model of wave interactions, J. Atmos. Sci., 35, 1978b, 784-789.
    • (1978) J. Atmos. Sci. , vol.35 , pp. 784-789
    • Blumen, W.1
  • 8
    • 0021083938 scopus 로고
    • Large-scale two-dimensional turbulence in the atmosphere
    • G.J. Boer, and T.G. Shepherd, Large-scale two-dimensional turbulence in the atmosphere, J. Atmos. Sci., 40, 1983, 164-184.
    • (1983) J. Atmos. Sci. , vol.40 , pp. 164-184
    • Boer, G.J.1    Shepherd, T.G.2
  • 9
    • 0029656713 scopus 로고    scopus 로고
    • On inertial-range scaling laws
    • J.C. Bowman, On inertial-range scaling laws, J. Fluid Mech., 306, 1996, 167-181.
    • (1996) J. Fluid Mech. , vol.306 , pp. 167-181
    • Bowman, J.C.1
  • 10
    • 0002931588 scopus 로고
    • The dynamics of long waves in a baroclinic westerly current
    • J.G. Charney, The dynamics of long waves in a baroclinic westerly current, J. Meteor., 4, 1947, 135-163.
    • (1947) J. Meteor. , vol.4 , pp. 135-163
    • Charney, J.G.1
  • 11
    • 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
  • 12
    • 0001765019 scopus 로고
    • Nonlinear cascade of atmospheric energy and enstrophy
    • T.C. Chen, and A. Wiin-Nielsen, Nonlinear cascade of atmospheric energy and enstrophy, Tellus, 28, 1978, 313-322.
    • (1978) Tellus , vol.28 , pp. 313-322
    • Chen, T.C.1    Wiin-Nielsen, A.2
  • 13
    • 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, 10223-10232.
    • (2001) J. Geophys. Res. , vol.106 , Issue.D10 , pp. 10223-10232
    • Cho, J.Y.N.1    Lindborg, E.2
  • 15
    • 0032777319 scopus 로고    scopus 로고
    • Horizontal wavenumber spectra of winds, temperature, and trace gases during the Pacific Exploratory Missions. Part II: Gravity waves, quasi-two-dimensional turbulence, and vertical modes
    • J.Y.N. Cho, R.E. Newell, J.D. Barrick, Horizontal wavenumber spectra of winds, temperature, and trace gases during the Pacific Exploratory Missions. Part II: Gravity waves, quasi-two-dimensional turbulence, and vertical modes, J. Geophys. Res., 104, 1999b, 16297-16308.
    • (1999) J. Geophys. Res. , vol.4 , pp. 16297-16308
    • Cho, J.Y.N.1    Newell, R.E.2    Barrick, J.D.3
  • 16
    • 0019637009 scopus 로고
    • A study of barotropic model flows: Intermittency, waves, and predictability
    • C. Basdevant, B. Legras, R. Sadourny, and M. Beland, A study of barotropic model flows: intermittency, waves, and predictability, J. Atmos. Sci., 38, 1981, 2305-2326.
    • (1981) J. Atmos. Sci. , vol.38 , pp. 2305-2326
    • Basdevant, C.1    Legras, B.2    Sadourny, R.3    Beland, M.4
  • 17
    • 21844522201 scopus 로고
    • Onsager's conjecture on the energy conservation for solutions of Euler's equation
    • P. Constantin, W. E, E.S. Titi, Onsager's conjecture on the energy conservation for solutions of Euler's equation, Commun. Math. Phys., 165, 1994a, 207-209.
    • (1994) Commun. Math. Phys. , vol.165 , pp. 207-209
    • Constantin, P.1    Titi, E.S.2
  • 18
    • 0043172071 scopus 로고
    • Formation of strong fronts in the 2-D quasi-geostrophic thermal active scalar
    • P. Constantin, A. Majda, and E. Tabak, Formation of strong fronts in the 2-D quasi-geostrophic thermal active scalar, Nonlinearity, 7, 1994b, 1495-1533.
    • (1994) Nonlinearity , vol.7 , pp. 1495-1533
    • Constantin, P.1    Majda, A.2    Tabak, E.3
  • 19
    • 0032264533 scopus 로고    scopus 로고
    • Nonexistence of simple hyperbolic blow-up for the quasigeostrophic equation
    • D. Cordoba, Nonexistence of simple hyperbolic blow-up for the quasigeostrophic equation, Ann. of Math. (2), 148, 1998, 1135-1152.
    • (1998) Ann. of Math. (2) , vol.148 , pp. 1135-1152
    • Cordoba, D.1
  • 20
    • 0001773215 scopus 로고
    • Exact results on stationary turbulence in 2D: Consequence of vorticity conservation
    • G.L. Eyink, Exact results on stationary turbulence in 2D: consequence of vorticity conservation, Physica D, 91, 1994, 97-142.
    • (1994) Physica D , vol.91 , pp. 97-142
    • Eyink, G.L.1
  • 21
    • 0000155620 scopus 로고
    • On the changes in the spectral distribution of kinetic energy for two-dimensional non-divergent flow
    • R. Fjørtoft, 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
    • Fjørtoft, R.1
  • 22
    • 3142566296 scopus 로고
    • A numerical study of two-dimensional turbulence
    • B. Fornberg, A numerical study of two-dimensional turbulence, J. Comput. Phys., 25, 1977, 1-31.
    • (1977) J. Comput. Phys. , vol.25 , pp. 1-31
    • Fornberg, B.1
  • 26
    • 0018967220 scopus 로고
    • Statistical theory of quasi-geostrophic turbulence
    • J.R. Herring, Statistical theory of quasi-geostrophic turbulence, J. Atmos. Sci, 37, 1980,969-977.
    • (1980) J. Atmos. Sci , vol.37 , pp. 969-977
    • Herring, J.R.1
  • 27
    • 0042101202 scopus 로고    scopus 로고
    • A case study of two-dimensional stratified turbulence
    • U. Högström, A.-S. Smedman, and H. Bergström, A case study of two-dimensional stratified turbulence, J. Atmos. Sci. 56, 1999, 959-976.
    • (1999) J. Atmos. Sci. , vol.56 , pp. 959-976
    • Högström, U.1    Smedman, A.-S.2    Bergström, H.3
  • 28
    • 0002101294 scopus 로고
    • Atmospheric frontogenesis models: Mathematical formulation and solutions
    • B. Hoskins and F. Bretherton, Atmospheric frontogenesis models: mathematical formulation and solutions, J. Atmos. Sci., 29, 1972, 11-27.
    • (1972) J. Atmos. Sci. , vol.29 , pp. 11-27
    • Hoskins, B.1    Bretherton, F.2
  • 29
    • 0002894836 scopus 로고
    • The local structure of turbulence in incompressible viscous fluid over very large Reynolds numbers, and Dissipation of energy into locally isotropic turbulence
    • Turbulence and stochastic processes: Kolmogorov's ideas 50 years on
    • A.N. Kolmogorov, The local structure of turbulence in incompressible viscous fluid over very large Reynolds numbers, and Dissipation of energy into locally isotropic turbulence, Proc. Roy. Soc. Lon. A434, Turbulence and stochastic processes: Kolmogorov's ideas 50 years on, 1941, 9-17.
    • (1941) Proc. Roy. Soc. Lon. , vol.A434 , pp. 9-17
    • Kolmogorov, A.N.1
  • 30
    • 36849114603 scopus 로고
    • Inertial ranges in two-dimensional turbulence
    • R.H. Kraichnan, Inertial ranges in two-dimensional turbulence, Phys. of Fluids, 10, 1967, 1417-1423.
    • (1967) Phys. of Fluids , vol.10 , pp. 1417-1423
    • Kraichnan, R.H.1
  • 31
    • 84908820517 scopus 로고
    • Inertial range transfer in two- and three-dimensional turbulence
    • R.H. Kraichnan, 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
    • Kraichnan, R.H.1
  • 32
    • 0035641154 scopus 로고    scopus 로고
    • Interior gradient bounds for the 2D Navier-Stokes system
    • I. Kukavica, Interior gradient bounds for the 2D Navier-Stokes system, Discrete and Continuous Dynamical System-B, 7, 2001, 873-882.
    • (2001) Discrete and Continuous Dynamical System-B , vol.7 , pp. 873-882
    • Kukavica, I.1
  • 33
    • 36849098456 scopus 로고
    • Diffusion approximation for two-dimensional turbulence
    • C.B. Leith, Diffusion approximation for two-dimensional turbulence, Phys. of Fluids, 11, 1968, 671-673.
    • (1968) Phys. of Fluids , vol.11 , pp. 671-673
    • Leith, C.B.1
  • 34
    • 36849096498 scopus 로고
    • Numerical simulation of two-dimensional turbulence
    • D.K. Lilly, Numerical simulation of two-dimensional turbulence, Physics of Fluids Supplement II, 1969, 240-249.
    • (1969) Physics of Fluids Supplement II , pp. 240-249
    • Lilly, D.K.1
  • 35
    • 0001433340 scopus 로고
    • Numerical simulation studies of two-dimensional turbulence: I. Models of statistically steady turbulence
    • D.K. Lilly, Numerical simulation studies of two-dimensional turbulence: I. Models of statistically steady turbulence, Geophys. Fluid Dyn., 3, 1972, 289-319.
    • (1972) Geophys. Fluid Dyn. , vol.3 , pp. 289-319
    • Lilly, D.K.1
  • 36
    • 0020969393 scopus 로고
    • Stratified turbulence and mesoscale variability of the atmosphere
    • D.K. Lilly, Stratified turbulence and 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
  • 37
    • 0024785234 scopus 로고
    • Two-dimensional turbulence generated by energy sources at two scales
    • D.K. Lilly, Two-dimensional turbulence generated by energy sources at two scales, J. Atmos. Sci., 45, 1989, 2026-2030.
    • (1989) J. Atmos. Sci. , vol.45 , pp. 2026-2030
    • Lilly, D.K.1
  • 38
    • 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
  • 39
    • 0034115058 scopus 로고    scopus 로고
    • The kinetic energy spectrum of the two-dimensional enstrophy turbulence cascade
    • E. Lindborg, and K. Alvelius, The kinetic energy spectrum of the two-dimensional enstrophy turbulence cascade, Physics of Fluids, 12, 5, 2000, 945-947.
    • (2000) Physics of Fluids , vol.12 , Issue.5 , pp. 945-947
    • Lindborg, E.1    Alvelius, K.2
  • 40
    • 0030262564 scopus 로고    scopus 로고
    • Nonlinear stability of continuously stratified quasi-geostrophic flow
    • Y. Liu, M. Mu, T.G. Shepherd, Nonlinear stability of continuously stratified quasi-geostrophic flow, J. Fluid Mech., 325, 1996, 419-439.
    • (1996) J. Fluid Mech. , vol.325 , pp. 419-439
    • Liu, Y.1    Mu, M.2    Shepherd, T.G.3
  • 42
    • 0000669501 scopus 로고    scopus 로고
    • A two-dimensional model for quasigeostrophic flow: Comparison with two-dimensional Euler flow
    • A.J. Majda and E.G. Tabak, A two-dimensional model for quasigeostrophic flow: comparison with two-dimensional Euler flow, Physica D, 98, 1996, 515-522.
    • (1996) Physica D , vol.98 , pp. 515-522
    • Majda, A.J.1    Tabak, E.G.2
  • 43
    • 0026190429 scopus 로고
    • Energy spectra and coherent structures in forced two-dimensional and beta-plane turbulence
    • M.E. Maltrud, and G.K. Vallis, Energy spectra and coherent structures in forced two-dimensional and beta-plane turbulence, J. Fluid Mech., 228, 1991, 321-342.
    • (1991) J. Fluid Mech. , vol.228 , pp. 321-342
    • Maltrud, M.E.1    Vallis, G.K.2
  • 45
    • 0021126361 scopus 로고
    • Emergence of isolated, coherent vortices in turbulent flow
    • American Institute of Physics
    • J.C. McWilliams, Emergence of isolated, coherent vortices in turbulent flow, Predictability of Fluid Motions, American Institute of Physics, 1984, 205-221.
    • (1984) Predictability of Fluid Motions , pp. 205-221
    • McWilliams, J.C.1
  • 46
    • 0024480052 scopus 로고
    • Statistical properties of decaying geostrophic turbulence
    • J.C. McWilliams, Statistical properties of decaying geostrophic turbulence, J. Fluid Mech. 198, 1989, 199-230.
    • (1989) J. Fluid Mech. , vol.198 , pp. 199-230
    • McWilliams, J.C.1
  • 47
    • 0002493253 scopus 로고    scopus 로고
    • The vortices of homogenous goestrophic turbulence
    • J.C. McWilliams, J.B. Weiss and I. Yavneh, The vortices of homogenous goestrophic turbulence, J. Fluid Mech. 401, 1999, 1-26.
    • (1999) J. Fluid Mech. , vol.401 , pp. 1-26
    • McWilliams, J.C.1    Weiss, J.B.2    Yavneh, I.3
  • 48
    • 0016519237 scopus 로고
    • On energy and enstrophy exchanges in two-dimensional non-divergent flow
    • P.E. Merilees, and T. Warn, On energy and enstrophy exchanges in two-dimensional non-divergent flow, J. Fluid Mech., 69, (1975), 625-630.
    • (1975) J. Fluid Mech. , vol.69 , pp. 625-630
    • Merilees, P.E.1    Warn, T.2
  • 50
    • 0022266328 scopus 로고
    • A climatology of atmospheric wavenumber spectra of wind and temperature observed by commercial aircraft
    • G.D. Nastrom, and K.S. Gage, A climatology of atmospheric wavenumber spectra of wind and temperature observed by commercial aircraft, J. Atmos. Sci., 42, 1985, 950-960.
    • (1985) J. Atmos. Sci. , vol.42 , pp. 950-960
    • Nastrom, G.D.1    Gage, K.S.2
  • 54
    • 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
  • 56
    • 0028501559 scopus 로고
    • Finite-size effects in forced two-dimensional turbulence
    • L.M. Smith, and V. Yakhot, Finite-size effects in forced two-dimensional turbulence, J. Fluid Mech., 274, 1994, 115-138.
    • (1994) J. Fluid Mech. , vol.274 , pp. 115-138
    • Smith, L.M.1    Yakhot, V.2
  • 57
    • 0033368429 scopus 로고    scopus 로고
    • Two-dimensional turbulence properties of the ECMWF reanalyses
    • D.M. Straus, and P. Ditlevsen, Two-dimensional turbulence properties of the ECMWF reanalyses, Tellus, 51A, 1999, 749-772.
    • (1999) Tellus , vol.51 A , pp. 749-772
    • Straus, D.M.1    Ditlevsen, P.2
  • 58
    • 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
  • 59
    • 0035878218 scopus 로고    scopus 로고
    • Remarks on Charney's note on geostrophic turbulence
    • K.K. Tung and W.T. Welch, Remarks on Charney's 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
  • 60
    • 0043096216 scopus 로고    scopus 로고
    • -5/3 energy spectrum of atmospheric turbulence, quasi-geostrophic two-level model simulation
    • -5/3 Energy Spectrum of 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
  • 61
    • 0000481345 scopus 로고
    • On the annual variation and spectral distribution of atmospheric energy
    • A. Wiin-Nielsen, On the annual variation and spectral distribution of atmospheric energy, Tellus, XIX, 1967, 540-559.
    • (1967) Tellus , vol.19 , pp. 540-559
    • Wiin-Nielsen, A.1
  • 62
    • 0042595309 scopus 로고
    • On the motion of various vertical modes of transient, very long waves, part I
    • A. Wiin-Nielsen, On the motion of various vertical modes of transient, very long waves, Part I., Tellus, 23, 1971, 87-98.
    • (1971) Tellus , vol.23 , pp. 87-98
    • Wiin-Nielsen, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.