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Volumn 11, Issue 6, 1999, Pages 1469-1483

Fully nonlinear three-dimensional convection in a rapidly rotating layer

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EID: 0001203204     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870010     Document Type: Article
Times cited : (34)

References (29)
  • 2
    • 0347512592 scopus 로고
    • Cellular convection with finite amplitude in a rotating fluid
    • G. Veronis, "Cellular convection with finite amplitude in a rotating fluid," J. Fluid Mech. 5, 401 (1959).
    • (1959) J. Fluid Mech. , vol.5 , pp. 401
    • Veronis, G.1
  • 3
    • 0008877754 scopus 로고
    • W. Arter [Phys. Lett. 97A, 171 (1983)] shows that even weakly nonlinear square pattern convection can have chaotic streamlines.
    • (1983) Phys. Lett. , vol.97 A , pp. 171
    • Arter, W.1
  • 4
    • 0028680851 scopus 로고
    • Strongly nonlinear convection cells in a rapidly rotating fluid layer
    • A. P. Bassom and K. Zhang, "Strongly nonlinear convection cells in a rapidly rotating fluid layer," Geophys. Astrophys. Fluid Dyn. 76, 223 (1994).
    • (1994) Geophys. Astrophys. Fluid Dyn. , vol.76 , pp. 223
    • Bassom, A.P.1    Zhang, K.2
  • 5
    • 0000665352 scopus 로고    scopus 로고
    • A new class of equations for rotationally constrained flows
    • K. Julien, E. Knobloch, and J. Werne, "A new class of equations for rotationally constrained flows," Theor. Comput. Fluid Dyn. 11, 251 (1998).
    • (1998) Theor. Comput. Fluid Dyn. , vol.11 , pp. 251
    • Julien, K.1    Knobloch, E.2    Werne, J.3
  • 6
    • 0030238389 scopus 로고    scopus 로고
    • Rapidly rotating turbulent Rayleigh-Bénard convection
    • K. Julien, S. Legg, J. McWilliams, and J. Werne, "Rapidly rotating turbulent Rayleigh-Bénard convection," J. Fluid Mech. 322, 243 (1996).
    • (1996) J. Fluid Mech. , vol.322 , pp. 243
    • Julien, K.1    Legg, S.2    McWilliams, J.3    Werne, J.4
  • 7
    • 0031193794 scopus 로고    scopus 로고
    • Fully nonlinear oscillatory convection in a rotating layer
    • K. Julien and E. Knobloch, "Fully nonlinear oscillatory convection in a rotating layer," Phys. Fluids 9, 1906 (1997).
    • (1997) Phys. Fluids , vol.9 , pp. 1906
    • Julien, K.1    Knobloch, E.2
  • 8
    • 35949005714 scopus 로고
    • Pattern selection in rotating convection with experimental boundary conditions
    • T. Clune and E. Knobloch, "Pattern selection in rotating convection with experimental boundary conditions," Phys. Rev. E 47, 2536 (1993).
    • (1993) Phys. Rev. E , vol.47 , pp. 2536
    • Clune, T.1    Knobloch, E.2
  • 10
    • 0031079991 scopus 로고    scopus 로고
    • The horizontal scale of rotating convection in the geostrophic regime
    • S. Sakai, "The horizontal scale of rotating convection in the geostrophic regime," J. Fluid Mech. 333, 85 (1997).
    • (1997) J. Fluid Mech. , vol.333 , pp. 85
    • Sakai, S.1
  • 12
    • 0040390106 scopus 로고
    • 2 symmetry
    • edited by E. Allgower, K. Bohmer, and M. Golubitsky Birkhäuser, Basel
    • 2 symmetry," in Bifurcation and Symmetry, edited by E. Allgower, K. Bohmer, and M. Golubitsky (Birkhäuser, Basel, 1992), pp. 241-252.
    • (1992) Bifurcation and Symmetry , pp. 241-252
    • Knobloch, E.1    Silber, M.2
  • 13
    • 84963486637 scopus 로고
    • Travelling wave convection in a rotating layer
    • and Ref. 8
    • To the authors' knowledge, only the coefficients a, b have been calculated for rotating convection at finite Ta. See E. Knobloch and M. Silber, "Travelling wave convection in a rotating layer," Geophys. Astrophys. Fluid Dyn. 51, 195 (1990), and Ref. 8.
    • (1990) Geophys. Astrophys. Fluid Dyn. , vol.51 , pp. 195
    • Knobloch, E.1    Silber, M.2
  • 14
    • 0001749553 scopus 로고
    • Hopf bifurcation on a square lattice
    • M. Silber and E. Knobloch, "Hopf bifurcation on a square lattice," Nonlinearity 4, 1063 (1991).
    • (1991) Nonlinearity , vol.4 , pp. 1063
    • Silber, M.1    Knobloch, E.2
  • 15
    • 0039876144 scopus 로고
    • Oscillatory convection in a rotating layer
    • E. Knobloch and M. Silber, "Oscillatory convection in a rotating layer," Physica D 63, 213 (1993).
    • (1993) Physica D , vol.63 , pp. 213
    • Knobloch, E.1    Silber, M.2
  • 16
    • 0006186264 scopus 로고
    • On the degenerate Hopf bifurcation with O(2) symmetry
    • E. Knobloch, "On the degenerate Hopf bifurcation with O(2) symmetry," Contemp. Math. 56, 193 (1986).
    • (1986) Contemp. Math. , vol.56 , pp. 193
    • Knobloch, E.1
  • 17
    • 0029676563 scopus 로고    scopus 로고
    • Symmetry and instability in rotating hydrodynamic and magnetohydrodynamic flows
    • E. Knobloch, "Symmetry and instability in rotating hydrodynamic and magnetohydrodynamic flows," Phys. Fluids 8, 1446 (1996); A. M. Rucklidge and M. Silber, "Bifurcations of periodic orbits with spatio-temporal symmetries," Nonlinearity 11, 1435 (1998).
    • (1996) Phys. Fluids , vol.8 , pp. 1446
    • Knobloch, E.1
  • 18
    • 0043225288 scopus 로고    scopus 로고
    • Bifurcations of periodic orbits with spatio-temporal symmetries
    • E. Knobloch, "Symmetry and instability in rotating hydrodynamic and magnetohydrodynamic flows," Phys. Fluids 8, 1446 (1996); A. M. Rucklidge and M. Silber, "Bifurcations of periodic orbits with spatio-temporal symmetries," Nonlinearity 11, 1435 (1998).
    • (1998) Nonlinearity , vol.11 , pp. 1435
    • Rucklidge, A.M.1    Silber, M.2
  • 20
    • 0020304319 scopus 로고
    • High order method for the numerical solution of two-point boundary value problems
    • J. R. Cash and A. Singhal, "High order method for the numerical solution of two-point boundary value problems," B.I.T. 22, 184 (1982).
    • (1982) B.I.T. , vol.22 , pp. 184
    • Cash, J.R.1    Singhal, A.2
  • 22
    • 0021390252 scopus 로고
    • Symmetries and pattern selection in Rayleigh-Bénard convection
    • M. Golubitsky, J. W. Swift, and E. Knobloch, "Symmetries and pattern selection in Rayleigh-Bénard convection," Physica D 10, 249 (1984).
    • (1984) Physica D , vol.10 , pp. 249
    • Golubitsky, M.1    Swift, J.W.2    Knobloch, E.3
  • 23
    • 0005143318 scopus 로고
    • Planform selection in rotating convection: Hexagonal symmetry
    • H. F. Goldstein, E. Knobloch, and M. Silber, "Planform selection in rotating convection: Hexagonal symmetry," Phys. Rev. A 46, 4755 (1992).
    • (1992) Phys. Rev. A , vol.46 , pp. 4755
    • Goldstein, H.F.1    Knobloch, E.2    Silber, M.3
  • 24
    • 0000257676 scopus 로고
    • The Hopf bifurcation on a hexagonal lattice
    • M. Roberts, J. W. Swift, and D. H. Wagner, "The Hopf bifurcation on a hexagonal lattice," Contemp. Math. 56, 283 (1986).
    • (1986) Contemp. Math. , vol.56 , pp. 283
    • Roberts, M.1    Swift, J.W.2    Wagner, D.H.3
  • 25
    • 5344252236 scopus 로고
    • Heat transport by turbulent convection
    • L. N. Howard, "Heat transport by turbulent convection," J. Fluid Mech. 17, 405 (1963).
    • (1963) J. Fluid Mech. , vol.17 , pp. 405
    • Howard, L.N.1
  • 26
    • 0032048693 scopus 로고    scopus 로고
    • Strongly nonlinear convection cells in a rapidly rotating fluid layer: The tilted f-plane
    • K. Julien and E. Knobloch, "Strongly nonlinear convection cells in a rapidly rotating fluid layer: The tilted f-plane," J. Fluid Mech. 360, 141 (1998).
    • (1998) J. Fluid Mech. , vol.360 , pp. 141
    • Julien, K.1    Knobloch, E.2
  • 27
    • 0016497618 scopus 로고
    • Modal equations for cellular convection
    • D. O. Gough, E. A. Spiegel, and J. Toomre, "Modal equations for cellular convection," J. Fluid Mech. 68, 695 (1975).
    • (1975) J. Fluid Mech. , vol.68 , pp. 695
    • Gough, D.O.1    Spiegel, E.A.2    Toomre, J.3
  • 28
    • 0016564988 scopus 로고
    • Modal analysis of convection in a rotating fluid
    • L. Baker and E. A. Spiegel, "Modal analysis of convection in a rotating fluid," J. Atmos. Sci. 32, 1909 (1975).
    • (1975) J. Atmos. Sci. , vol.32 , pp. 1909
    • Baker, L.1    Spiegel, E.A.2
  • 29
    • 0039797722 scopus 로고
    • Numerical solutions of single-mode convection equations
    • J. Toomre, D. O. Gough, and E. A. Spiegel, "Numerical solutions of single-mode convection equations," J. Fluid Mech. 79, 1 (1977).
    • (1977) J. Fluid Mech. , vol.79 , pp. 1
    • Toomre, J.1    Gough, D.O.2    Spiegel, E.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.