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Volumn 8, Issue 6, 1996, Pages 1531-1552

The emergence of jets and vortices in freely evolving, shallow-water turbulence on a sphere

Author keywords

[No Author keywords available]

Indexed keywords

JETS; SHALLOW WATER; TURBULENCE; VORTICES;

EID: 0029673233     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.868929     Document Type: Article
Times cited : (223)

References (51)
  • 1
    • 0021643806 scopus 로고
    • The emergence of isolated coherent vortices in turbulent flow
    • J. C. McWilliams, "The emergence of isolated coherent vortices in turbulent flow," J. Fluid Mech. 146, 21 (1984).
    • (1984) J. Fluid Mech. , vol.146 , pp. 21
    • McWilliams, J.C.1
  • 2
    • 0022112611 scopus 로고
    • Numerical simulation of two-dimensional turbulence with high-symmetry
    • S. Kida, "Numerical simulation of two-dimensional turbulence with high-symmetry," J. Phys. Soc. Jpn. 54, 2840 (1985).
    • (1985) J. Phys. Soc. Jpn. , vol.54 , pp. 2840
    • Kida, S.1
  • 3
    • 0000477912 scopus 로고
    • Small scale dynamics of high Reynolds number two-dimensional turbulence
    • M. E. Brachet, M. Meneguzzi, and P. L. Sulem, "Small scale dynamics of high Reynolds number two-dimensional turbulence," Phys. Rev. Lett. 57, 683 (1986).
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 683
    • Brachet, M.E.1    Meneguzzi, M.2    Sulem, P.L.3
  • 4
    • 34248173340 scopus 로고
    • Self-similar coherent structures in two-dimensional decaying turbulence
    • R. Benzi, S. Patarnello, and P. Santangelo, "Self-similar coherent structures in two-dimensional decaying turbulence," J. Phys. A Math. Gen. 21, 1221 (1988).
    • (1988) J. Phys. A Math. Gen. , vol.21 , pp. 1221
    • Benzi, R.1    Patarnello, S.2    Santangelo, P.3
  • 5
    • 36549094192 scopus 로고
    • The generation of vortices in high-resolution, two-dimensional decaying turbulence and the influence of initial conditions on the breaking of self-similarity
    • P. Santangelo, R. Benzi, and B. Legras, "The generation of vortices in high-resolution, two-dimensional decaying turbulence and the influence of initial conditions on the breaking of self-similarity," Phys. Fluids A 1, 1027 (1989).
    • (1989) Phys. Fluids A , vol.1 , pp. 1027
    • Santangelo, P.1    Benzi, R.2    Legras, B.3
  • 6
    • 0025503360 scopus 로고
    • The vortices of two-dimensional turbulence
    • J. C. McWilliams, "The vortices of two-dimensional turbulence", J. Fluid Mech. 219, 361 (1990).
    • (1990) J. Fluid Mech. , vol.219 , pp. 361
    • McWilliams, J.C.1
  • 7
    • 36449001824 scopus 로고
    • A simple point vortex model for two-dimensional decaying turbulence
    • R. Benzi, M. Briscolini, M. Colella, and P. Santangelo, "A simple point vortex model for two-dimensional decaying turbulence," Phys. Fluids A 4, 1036 (1992).
    • (1992) Phys. Fluids A , vol.4 , pp. 1036
    • Benzi, R.1    Briscolini, M.2    Colella, M.3    Santangelo, P.4
  • 8
    • 0013728060 scopus 로고
    • Two-dimensional turbulence on the surface of a sphere
    • C-M. Tang and S. Orszag, "Two-dimensional turbulence on the surface of a sphere," J. Fluid Mech 87, 305 (1978).
    • (1978) J. Fluid Mech , vol.87 , pp. 305
    • Tang, C.-M.1    Orszag, S.2
  • 9
    • 0001579004 scopus 로고
    • A numerical experiment on two-dimensional decaying turbulence on a rotating sphere
    • S. Yoden and M. Yunada, "A numerical experiment on two-dimensional decaying turbulence on a rotating sphere," J. Atmos. Sci. 50, 631 (1993).
    • (1993) J. Atmos. Sci. , vol.50 , pp. 631
    • Yoden, S.1    Yunada, M.2
  • 10
    • 0027508824 scopus 로고
    • The vortex property of two-dimensional turbulence
    • D. G Dritschel, "The vortex property of two-dimensional turbulence," Phys. Fluids A 5, 984 (1993).
    • (1993) Phys. Fluids A , vol.5 , pp. 984
    • Dritschel, D.G.1
  • 11
    • 0016519236 scopus 로고
    • Waves and turbulence on the β-plane
    • P. B. Rhines, "Waves and turbulence on the β-plane," J. Fluid Mech. 69, 417 (1975).
    • (1975) J. Fluid Mech. , vol.69 , pp. 417
    • Rhines, P.B.1
  • 12
  • 13
    • 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, 321 (1991).
    • (1991) J. Fluid Mech. , vol.228 , pp. 321
    • Maltrud, M.E.1    Vallis, G.K.2
  • 14
    • 0027871071 scopus 로고
    • Generation of mean flows and jets on a beta plane and over topography
    • G. K. Vallis and M. E. Maltrud, "Generation of mean flows and jets on a beta plane and over topography," J. Phys. Oceanogr. 23, 1346 (1993).
    • (1993) J. Phys. Oceanogr. , vol.23 , pp. 1346
    • Vallis, G.K.1    Maltrud, M.E.2
  • 15
    • 0000236298 scopus 로고
    • Planetary circulations: 1 barotropic representations of Jovian and terrestrial turbulence
    • G. P. Williams, "Planetary circulations: 1 barotropic representations of Jovian and terrestrial turbulence," J. Atmos. Sci. 35, 1399 (1978).
    • (1978) J. Atmos. Sci. , vol.35 , pp. 1399
    • Williams, G.P.1
  • 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, 2305 (1981).
    • (1981) J. Atmos. Sci. , vol.38 , pp. 2305
    • Basdevant, C.1    Legras, B.2    Sadourny, R.3    Beland, M.4
  • 17
    • 0024736250 scopus 로고
    • Wave-vortex dynamics in rotating shallow water
    • M. Farge and R. Sadourny, "Wave-vortex dynamics in rotating shallow water," J. Fluid Mech. 206, 433 (1990).
    • (1990) J. Fluid Mech. , vol.206 , pp. 433
    • Farge, M.1    Sadourny, R.2
  • 18
    • 84963224037 scopus 로고
    • Rotational and gravitational influences on the degree of balance in the shallow water euations
    • M. A. Spall and J. C. McWilliams, "Rotational and gravitational influences on the degree of balance in the shallow water euations," Geophys. Astrophys. Fluid Dyn. 64, 1 (1992).
    • (1992) Geophys. Astrophys. Fluid Dyn. , vol.64 , pp. 1
    • Spall, M.A.1    McWilliams, J.C.2
  • 19
    • 36448999139 scopus 로고
    • The coherent structures of shallow-water turbulence: Deformation-radius effects, cyclone/anticyclone asymmetry and gravity-wave generation
    • L. M. Polvani, J. C. McWilliams, M. A. Spall, and R. Ford, "The coherent structures of shallow-water turbulence: Deformation-radius effects, cyclone/anticyclone asymmetry and gravity-wave generation," Chaos 4, 177 (1994).
    • (1994) Chaos , vol.4 , pp. 177
    • Polvani, L.M.1    McWilliams, J.C.2    Spall, M.A.3    Ford, R.4
  • 20
    • 85033032398 scopus 로고    scopus 로고
    • note
    • Indeed, to the best of our knowledge, a detailed and comprehensive sensitivity study in fully turbulent, decaying situations has never been performed, particularly for the spherical geometry.
  • 22
    • 0002354045 scopus 로고
    • Geostrophic turbulence and emergence of eddies beyond the radius of deformation
    • B. Cushman-Roisin and B. Tang. "Geostrophic turbulence and emergence of eddies beyond the radius of deformation," J. Phys. Oceanogr. 20, 97 (1990).
    • (1990) J. Phys. Oceanogr. , vol.20 , pp. 97
    • Cushman-Roisin, B.1    Tang, B.2
  • 23
    • 85033006208 scopus 로고    scopus 로고
    • note
    • 2τ(-)cos δ d δ dλ.
  • 24
    • 85032997973 scopus 로고    scopus 로고
    • J. J. Hack and R. Jakob, NCAR Technical Note NCAR/TN-343+STR, 1992
    • J. J. Hack and R. Jakob, NCAR Technical Note NCAR/TN-343+STR, 1992.
  • 25
    • 85033001943 scopus 로고    scopus 로고
    • note
    • Computations were performed on a 16-processor CRAY-YMP/C90 with a parallelized code.
  • 26
    • 85033027485 scopus 로고    scopus 로고
    • note
    • In the spherical geometry, the total wave number n plays the analogous role of k in the planar geometry.
  • 29
    • 85033013031 scopus 로고    scopus 로고
    • note
    • A fiducial cut in spectral range is made for the slope determination using a "best-fit" procedure on the compensated spectra; an average of the slopes over three frames and three runs are taken. The precise values of the slopes are sensitive to the range examined; however, the emphasis here is on the trends.
  • 30
    • 0028601891 scopus 로고
    • Vortex stripping and the erosion of coherent structures in two-dimensional flows
    • A. Mariotti, B. Legras, and D. G. Dritschel, "Vortex stripping and the erosion of coherent structures in two-dimensional flows," Phys. Fluids 6, 3954 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 3954
    • Mariotti, A.1    Legras, B.2    Dritschel, D.G.3
  • 31
    • 0028976499 scopus 로고
    • High gradient phenomena in two-dimensional vortex interactions
    • H. B. Yao, N. J. Zabusky, and D. G. Dritschel, "High gradient phenomena in two-dimensional vortex interactions," Phys. Fluids 7, 539 (1995).
    • (1995) Phys. Fluids , vol.7 , pp. 539
    • Yao, H.B.1    Zabusky, N.J.2    Dritschel, D.G.3
  • 32
    • 85033008365 scopus 로고    scopus 로고
    • note
    • In this case, the vortex size distribution is different at t=0 due to the difference in γ.
  • 33
    • 0000039195 scopus 로고
    • Spectral exponents of enstrophy cascade in stationary two-dimensional homogeneous turbulence
    • V. Borue, "Spectral exponents of enstrophy cascade in stationary two-dimensional homogeneous turbulence," Phys. Rev. Lett. 71, 3967 (1993).
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 3967
    • Borue, V.1
  • 35
    • 0025448240 scopus 로고
    • Vortex dynamics in a shearing zonal flow
    • P. S. Marcus, "Vortex dynamics in a shearing zonal flow," J. Fluid Mech. 215, 393 (1990).
    • (1990) J. Fluid Mech. , vol.215 , pp. 393
    • Marcus, P.S.1
  • 36
    • 85032997819 scopus 로고    scopus 로고
    • note
    • 0.
  • 37
    • 0000406322 scopus 로고
    • Jets
    • P. B. Rhines, "Jets," Chaos 4, 313 (1994).
    • (1994) Chaos , vol.4 , pp. 313
    • Rhines, P.B.1
  • 38
    • 85033027282 scopus 로고    scopus 로고
    • note
    • This behavior is also observed in the full shallow-water cases.
  • 39
    • 85033009063 scopus 로고    scopus 로고
    • note
    • Recall that a vortex is cyclonic when its vorticity has the same sign as the planetary rotation, and anticyclonic otherwise.
  • 41
    • 0024717511 scopus 로고
    • Two-layer geostrophic vortex dynamics, Part 1, Upper layer V-states and merger
    • L. M. Polvani, N. J. Zabusky, and G. R. Flierl, "Two-layer geostrophic vortex dynamics, Part 1, Upper layer V-states and merger," J. Fluid Mech. 205, 215 (1989).
    • (1989) J. Fluid Mech. , vol.205 , pp. 215
    • Polvani, L.M.1    Zabusky, N.J.2    Flierl, G.R.3
  • 42
    • 0000568186 scopus 로고
    • Weakly decaying turbulence in an equivalent barotropic model
    • V. D. Larichev and J. C. McWilliams, "Weakly decaying turbulence in an equivalent barotropic model," Phys. Fluids A 3, 938 (1991).
    • (1991) Phys. Fluids A , vol.3 , pp. 938
    • Larichev, V.D.1    McWilliams, J.C.2
  • 43
    • 6144280338 scopus 로고
    • Ph.D. thesis, Cambridge University
    • D. W. Waugh, Ph.D. thesis, Cambridge University, 1992.
    • (1992)
    • Waugh, D.W.1
  • 44
    • 85033002985 scopus 로고    scopus 로고
    • note
    • In the nondivergent cases initial balancing is not required, since gravity waves are not present.
  • 45
    • 0000214851 scopus 로고
    • Initialization of primitive equations by the bounded derivative method
    • G. Browning, A. Kasahara, and H-O. Kreiss, "Initialization of primitive equations by the bounded derivative method," J. Atmos. Sci. 37, 1424 (1980).
    • (1980) J. Atmos. Sci. , vol.37 , pp. 1424
    • Browning, G.1    Kasahara, A.2    Kreiss, H.-O.3
  • 46
    • 0000102096 scopus 로고
    • Asymmetric evolution of eddies
    • M. Arai and T. Yamagata, "Asymmetric evolution of eddies," Chaos 4, 163 (1994).
    • (1994) Chaos , vol.4 , pp. 163
    • Arai, M.1    Yamagata, T.2
  • 47
    • 0012446347 scopus 로고
    • A critical review on the dynamics of Jovian atmospheres
    • J.-I. Yano, "A critical review on the dynamics of Jovian atmospheres," Chaos 4, 287 (1994).
    • (1994) Chaos , vol.4 , pp. 287
    • Yano, J.-I.1
  • 48
    • 0002552784 scopus 로고
    • Atmospheric dynamics of the outer planets
    • A. P. Ingersoll, "Atmospheric dynamics of the outer planets," Science 248, 308 (1990).
    • (1990) Science , vol.248 , pp. 308
    • Ingersoll, A.P.1
  • 49
    • 0024924047 scopus 로고
    • Jupiter's Great Red spot as a shallow water system
    • T.E. Dowling and A. P. Ingersoll, "Jupiter's Great Red spot as a shallow water system," J. Atmos Sci. 46, 3256 (1989).
    • (1989) J. Atmos Sci. , vol.46 , pp. 3256
    • Dowling, T.E.1    Ingersoll, A.P.2
  • 50
    • 0003200534 scopus 로고
    • Characteristic zonal winds and long-lived vortices in the atmosphere of the outer planets
    • R. Beebe, "Characteristic zonal winds and long-lived vortices in the atmosphere of the outer planets," Chaos 4, 113 (1994).
    • (1994) Chaos , vol.4 , pp. 113
    • Beebe, R.1
  • 51
    • 0026804723 scopus 로고
    • Quantification of the inelastic interaction of two asymmetric vortices in two-dimensional vortex dynamics
    • D. G. Dritschel and D. W. Waugh, "Quantification of the inelastic interaction of two asymmetric vortices in two-dimensional vortex dynamics," Phys. Fluids A 4, 1737 (1992).
    • (1992) Phys. Fluids A , vol.4 , pp. 1737
    • Dritschel, D.G.1    Waugh, D.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.