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Volumn 12, Issue 3, 2000, Pages 581-588

Point vortex motion on a sphere with solid boundaries

Author keywords

[No Author keywords available]

Indexed keywords

GEOPHYSICAL FLOW; GEOPHYSICAL FLUID DYNAMICS; VORTEX FLOW;

EID: 0034128593     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870263     Document Type: Article
Times cited : (37)

References (37)
  • 1
    • 0020496938 scopus 로고
    • Integrable, chaotic and turbulent vortex motion in two-dimensional flows
    • H. Aref, "Integrable, chaotic and turbulent vortex motion in two-dimensional flows," Annu. Rev. Fluid Mech. 15, 345 (1983).
    • (1983) Annu. Rev. Fluid Mech. , vol.15 , pp. 345
    • Aref, H.1
  • 2
    • 0027009703 scopus 로고
    • Dynamics of singular vortices on a beta-plane
    • G. M. Reznik, "Dynamics of singular vortices on a beta-plane," J. Fluid Mech. 240, 405 (1992).
    • (1992) J. Fluid Mech. , vol.240 , pp. 405
    • Reznik, G.M.1
  • 3
    • 0346053689 scopus 로고    scopus 로고
    • Streamline patterns for integrable vortex motion on a sphere
    • to appear
    • R. Kidambi and P. K. Newton, "Streamline patterns for integrable vortex motion on a sphere," to appear in Physica D, 2000.
    • (2000) Physica D
    • Kidambi, R.1    Newton, P.K.2
  • 4
    • 0016453975 scopus 로고
    • Interaction of vortices in a fluid on the surface of a rotating sphere
    • S. Friedlander, "Interaction of vortices in a fluid on the surface of a rotating sphere," Tellus XXVII, 15 (1975).
    • (1975) Tellus , vol.27 , pp. 15
    • Friedlander, S.1
  • 5
    • 0017559109 scopus 로고
    • Dynamics of vorticity at a sphere
    • V. A. Bogomolov, "Dynamics of vorticity at a sphere," Fluid Dyn. 6, 863 (1977).
    • (1977) Fluid Dyn. , vol.6 , pp. 863
    • Bogomolov, V.A.1
  • 6
    • 0006828675 scopus 로고
    • Two dimensional fluid dynamics on a sphere
    • V. A. Bogomolov, "Two dimensional fluid dynamics on a sphere," Izv. Atmos. Ocean. Phys. 15, 18 (1979).
    • (1979) Izv. Atmos. Ocean. Phys. , vol.15 , pp. 18
    • Bogomolov, V.A.1
  • 7
    • 0039535791 scopus 로고
    • On the motion of a vortex on a rotating sphere
    • V. A. Bogomolov, "On the motion of a vortex on a rotating sphere," Izv. Atmos. Ocean. Phys. 21, 298 (1985).
    • (1985) Izv. Atmos. Ocean. Phys. , vol.21 , pp. 298
    • Bogomolov, V.A.1
  • 9
    • 38249030211 scopus 로고
    • The topology of reduced phase spaces of the motion of vortices on a sphere
    • F. Kirwan, "The topology of reduced phase spaces of the motion of vortices on a sphere," Physica D 30, 99 (1988).
    • (1988) Physica D , vol.30 , pp. 99
    • Kirwan, F.1
  • 10
    • 0002430089 scopus 로고
    • The roll-up of vorticity strips on the surface of a sphere
    • D. G. Dritschel and L. M. Polvani, "The roll-up of vorticity strips on the surface of a sphere," J. Fluid Mech. 234, 47 (1992).
    • (1992) J. Fluid Mech. , vol.234 , pp. 47
    • Dritschel, D.G.1    Polvani, L.M.2
  • 11
    • 0027509008 scopus 로고
    • Wave and vortex dynamics on the surface of a sphere
    • L. M. Polvani and D. G. Dritschel, "Wave and vortex dynamics on the surface of a sphere," J. Fluid Mech. 255, 35 (1993).
    • (1993) J. Fluid Mech. , vol.255 , pp. 35
    • Polvani, L.M.1    Dritschel, D.G.2
  • 12
    • 0000134383 scopus 로고    scopus 로고
    • Motion of three point vortices on a sphere
    • R. Kidambi and P. K. Newton, "Motion of three point vortices on a sphere," Physica D 116, 143 (1998).
    • (1998) Physica D , vol.116 , pp. 143
    • Kidambi, R.1    Newton, P.K.2
  • 13
    • 0040127388 scopus 로고    scopus 로고
    • Collision of three vortices on a sphere
    • to appear
    • R. Kidambi and P. K. Newton, "Collision of three vortices on a sphere," to appear in Nuovo Cimento, 2000.
    • (2000) Nuovo Cimento
    • Kidambi, R.1    Newton, P.K.2
  • 14
    • 0032358932 scopus 로고    scopus 로고
    • Point vortices on a sphere: Stability of relative equilibria
    • S. Pekarsky and J. Marsden, "Point vortices on a sphere: stability of relative equilibria," J. Math. Phys. 39, 5894 (1998).
    • (1998) J. Math. Phys. , vol.39 , pp. 5894
    • Pekarsky, S.1    Marsden, J.2
  • 15
    • 0032381533 scopus 로고    scopus 로고
    • Relative equilibria for symmetric n-body problems on the sphere: Inverse and direct results
    • C. C. Lim, "Relative equilibria for symmetric n-body problems on the sphere: Inverse and direct results," Commun. Pure Appl. Math. LI, 341 (1998).
    • (1998) Commun. Pure Appl. Math. , vol.51 , pp. 341
    • Lim, C.C.1
  • 16
    • 0000885028 scopus 로고    scopus 로고
    • Vortex motion on surfaces with constant curvature
    • Y. Kimura, "Vortex motion on surfaces with constant curvature," Proc. R. Soc. London, Ser. A 455, 245 (1999).
    • (1999) Proc. R. Soc. London, Ser. A , vol.455 , pp. 245
    • Kimura, Y.1
  • 17
    • 0010323290 scopus 로고
    • Stability of streets of vortices on surfaces of revolution with a reflection symmetry
    • D. Hally, "Stability of streets of vortices on surfaces of revolution with a reflection symmetry," J. Math. Phys. 21, 211 (1980).
    • (1980) J. Math. Phys. , vol.21 , pp. 211
    • Hally, D.1
  • 18
    • 0019920575 scopus 로고
    • Atmosphere-ocean dynamics
    • Academic, New York
    • A. E. Gill, Atmosphere-Ocean Dynamics, International Geophysics Series Volume 30 (Academic, New York, 1982).
    • (1982) International Geophysics Series , vol.30
    • Gill, A.E.1
  • 19
    • 0039843089 scopus 로고
    • Large long-lived coherent structures out of chaos in planetary atmospheres and oceans
    • Chaos, special focus issue
    • Chaos, special focus issue "Large long-lived coherent structures out of chaos in planetary atmospheres and oceans," Chaos 4 (1994).
    • (1994) Chaos , vol.4
  • 21
    • 0008843915 scopus 로고
    • On the motion of vortices in 2D. I. Existence of the Kirchhoff-Routh function
    • C. C. Lin, "On the motion of vortices in 2D. I. Existence of the Kirchhoff-Routh function," Proc. Natl. Acad. Sci. USA 27, 570 (1941a).
    • (1941) Proc. Natl. Acad. Sci. USA , vol.27 , pp. 570
    • Lin, C.C.1
  • 22
    • 0008843915 scopus 로고
    • On the motion of vortices in 2D. II. Some further investigations of the Kirchhoff-Routh functions
    • C. C. Lin, "On the motion of vortices in 2D. II. Some further investigations of the Kirchhoff-Routh functions," Proc. Natl. Acad. Sci. USA 27, 575 (1941b).
    • (1941) Proc. Natl. Acad. Sci. USA , vol.27 , pp. 575
    • Lin, C.C.1
  • 23
    • 84980081962 scopus 로고
    • The scope of the image method
    • J. B. Keller, "The scope of the image method," Commun. Pure Appl. Math. VI, 505 (1953).
    • (1953) Commun. Pure Appl. Math. , vol.6 , pp. 505
    • Keller, J.B.1
  • 27
    • 85040958017 scopus 로고
    • Cambridge University Press, Cambridge
    • P. G. Saffman, Vortex Dynamics (Cambridge University Press, Cambridge, 1992).
    • (1992) Vortex Dynamics
    • Saffman, P.G.1
  • 28
    • 0008415423 scopus 로고
    • Advection by a point vortex in a closed domain
    • L. Zannetti and P. Franzese, "Advection by a point vortex in a closed domain," Eur. J. Mech. B/Fluids 12, 43 (1993).
    • (1993) Eur. J. Mech. B/Fluids , vol.12 , pp. 43
    • Zannetti, L.1    Franzese, P.2
  • 29
    • 0005588921 scopus 로고
    • The non-integrability of the restricted problem of two vortices in closed domains
    • L. Zannetti and P. Franzese, "The non-integrability of the restricted problem of two vortices in closed domains," Physica D 76, 99 (1994).
    • (1994) Physica D , vol.76 , pp. 99
    • Zannetti, L.1    Franzese, P.2
  • 30
    • 0028534116 scopus 로고
    • Dynamics of a pair of vortices in a rectangle
    • I. Kunin, F. Hussain, and X. Zhou, "Dynamics of a pair of vortices in a rectangle," Int. J. Eng. Sci. 32, 1835 (1994).
    • (1994) Int. J. Eng. Sci. , vol.32 , pp. 1835
    • Kunin, I.1    Hussain, F.2    Zhou, X.3
  • 31
    • 0030461409 scopus 로고    scopus 로고
    • Motion of a two-dimensional monopolar vortex in a bounded rectangular domain
    • J. H. G. M. van Geffen, V. V. Meleshko, and G. J. F. van Heijst, "Motion of a two-dimensional monopolar vortex in a bounded rectangular domain," Phys. Fluids 8, 2393 (1996).
    • (1996) Phys. Fluids , vol.8 , pp. 2393
    • Van Geffen, J.H.G.M.1    Meleshko, V.V.2    Van Heijst, G.J.F.3
  • 32
    • 0030683740 scopus 로고    scopus 로고
    • Equilibrium configurations of point vortices for channel flow past interior obstacles
    • A. R. Elcrat, C. Hu, and K. G. Miller, "Equilibrium configurations of point vortices for channel flow past interior obstacles," Eur. J. Mech. B/Fluids 16, 277 (1997).
    • (1997) Eur. J. Mech. B/Fluids , vol.16 , pp. 277
    • Elcrat, A.R.1    Hu, C.2    Miller, K.G.3
  • 33
    • 0030131214 scopus 로고    scopus 로고
    • On the motion of three point vortices in a periodic strip
    • H. Aref and M. Stremler, "On the motion of three point vortices in a periodic strip," J. Fluid Mech. 314, 1 (1996).
    • (1996) J. Fluid Mech. , vol.314 , pp. 1
    • Aref, H.1    Stremler, M.2
  • 35
    • 0038943327 scopus 로고
    • Point vortices on a rotating sphere
    • K. V. Klyatskin and G. M. Reznik, "Point vortices on a rotating sphere," Oceanology 29, 12 (1989).
    • (1989) Oceanology , vol.29 , pp. 12
    • Klyatskin, K.V.1    Reznik, G.M.2
  • 36
    • 0032028175 scopus 로고    scopus 로고
    • Barotropic vortex pairs on a rotating sphere
    • M. Dibattista and L. Polvani, "Barotropic vortex pairs on a rotating sphere," J. Fluid Mech. 358, 107 (1998).
    • (1998) J. Fluid Mech. , vol.358 , pp. 107
    • Dibattista, M.1    Polvani, L.2
  • 37
    • 0027464619 scopus 로고
    • A fast contour dynamics method for many-vortex calculations in two-dimensional flows
    • D. G. Dritschel, "A fast contour dynamics method for many-vortex calculations in two-dimensional flows," Phys. Fluids A 5, 173 (1993).
    • (1993) Phys. Fluids A , vol.5 , pp. 173
    • Dritschel, D.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.