메뉴 건너뛰기




Volumn 561, Issue , 2006, Pages 359-389

Direct numerical simulations of bifurcations in an air-filled rotating baroclinic annulus

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; CHAOS THEORY; COMPUTER SIMULATION; STEADY FLOW; VORTEX FLOW;

EID: 33747060717     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006000711     Document Type: Article
Times cited : (29)

References (47)
  • 1
    • 34249988665 scopus 로고
    • Extracting qualitative dynamics from experimental data
    • Broomhead, D. S. & King, G. P. 1986 Extracting qualitative dynamics from experimental data. Physica D 20, 217-236.
    • (1986) Physica D , vol.20 , pp. 217-236
    • Broomhead, D.S.1    King, G.P.2
  • 2
    • 0021470207 scopus 로고
    • Transitions to geostrophic turbulence in a rotating, differentially heated annulus of fluid
    • Buzyna, G., Pfeffer, R. L. & Kung, R. 1984 Transitions to geostrophic turbulence in a rotating, differentially heated annulus of fluid. J. Fluid Mech. 145, 377-403.
    • (1984) J. Fluid Mech. , vol.145 , pp. 377-403
    • Buzyna, G.1    Pfeffer, R.L.2    Kung, R.3
  • 4
    • 0038774633 scopus 로고
    • An experimental study of the effects of the upper boundary condition on the thermal convection in a rotating, differentially heated cylindrical annulus of water
    • Fein, J. 1973 An experimental study of the effects of the upper boundary condition on the thermal convection in a rotating, differentially heated cylindrical annulus of water. Geophys. Fluid Dyn. 5, 213-248.
    • (1973) Geophys. Fluid Dyn. , vol.5 , pp. 213-248
    • Fein, J.1
  • 5
    • 0016956445 scopus 로고
    • An experimental study of the effects of Prandtl number on thermal convection in a rotating, differentially heated cylindrical annulus of fluid
    • Fein, J. S. & Pfeffer, R. L. 1976 An experimental study of the effects of Prandtl number on thermal convection in a rotating, differentially heated cylindrical annulus of fluid. J. Fluid Mech. 75, 81-112.
    • (1976) J. Fluid Mech. , vol.75 , pp. 81-112
    • Fein, J.S.1    Pfeffer, R.L.2
  • 6
    • 0000210248 scopus 로고
    • Thermal convection in a rotating fluid annulus: Effect of viscosity on the transition between axisymmetric and non-axisymmetric flow regimes
    • Fowlis, W. W. & Hide, R. 1965 Thermal convection in a rotating fluid annulus: Effect of viscosity on the transition between axisymmetric and non-axisymmetric flow regimes. J. Atmos. Sci. 22, 541-558.
    • (1965) J. Atmos. Sci. , vol.22 , pp. 541-558
    • Fowlis, W.W.1    Hide, R.2
  • 7
    • 0037868216 scopus 로고    scopus 로고
    • On the origin of time-dependent behaviour in a barotropically unstable shear layer
    • Früh, W.-G. & Nielsen, A. H. 2003 On the origin of time-dependent behaviour in a barotropically unstable shear layer. Nonlin. Proc. Geophys. 10, 289-302.
    • (2003) Nonlin. Proc. Geophys. , vol.10 , pp. 289-302
    • Früh, W.-G.1    Nielsen, A.H.2
  • 8
    • 3142583752 scopus 로고    scopus 로고
    • Wave interactions and the transition to chaos of baroclinic waves in a thermally driven rotating annulus
    • Früh, W.-G. & Read, P. L. 1997 Wave interactions and the transition to chaos of baroclinic waves in a thermally driven rotating annulus. Phil. Trans. R. Soc. Lond. A 355, 101-153.
    • (1997) Phil. Trans. R. Soc. Lond. A , vol.355 , pp. 101-153
    • Früh, W.-G.1    Read, P.L.2
  • 9
    • 0142040534 scopus 로고    scopus 로고
    • Experiments in a barotropic rotating shear layer. I: Instability and steady vortices
    • Früh, W.-G. & Read, P. L. 1999 Experiments in a barotropic rotating shear layer. I: Instability and steady vortices. J. Fluid Mech. 383, 143-173.
    • (1999) J. Fluid Mech. , vol.383 , pp. 143-173
    • Früh, W.-G.1    Read, P.L.2
  • 11
    • 0001665970 scopus 로고
    • Are three-frequency quasi-periodic orbits to be expected in typical nonlinear systems?
    • Grebogi, C., Ott, E. & Yorke, J. A. 1983a Are three-frequency quasi-periodic orbits to be expected in typical nonlinear systems? Phys. Rev. Lett. 51, 339-342.
    • (1983) Phys. Rev. Lett. , vol.51 , pp. 339-342
    • Grebogi, C.1    Ott, E.2    Yorke, J.A.3
  • 12
    • 0012349493 scopus 로고
    • Crises, sudden changes in chaotic attractors, and transient chaos
    • Grebogi, C., Ott, E. & Yorke, J. A. 1983b Crises, sudden changes in chaotic attractors, and transient chaos. Physica D 7, 181-200.
    • (1983) Physica D , vol.7 , pp. 181-200
    • Grebogi, C.1    Ott, E.2    Yorke, J.A.3
  • 13
    • 0007857591 scopus 로고
    • Dimension measurements for geostrophic turbulence
    • Guckenheimer, J. & Buzyna, G. 1983 Dimension measurements for geostrophic turbulence. Phys. Rev. Lett. 51, 1438-1441.
    • (1983) Phys. Rev. Lett. , vol.51 , pp. 1438-1441
    • Guckenheimer, J.1    Buzyna, G.2
  • 15
    • 0043054758 scopus 로고
    • Chebyshev 3-d spectral and 2-d pseudospectral solvers for the Helmholtz equation
    • Haldenwang, P., Labrosse, G., Abboudi, S. & Deville, M. 1984 Chebyshev 3-d spectral and 2-d pseudospectral solvers for the Helmholtz equation. J. Comput. Phys. 55, 115-128.
    • (1984) J. Comput. Phys. , vol.55 , pp. 115-128
    • Haldenwang, P.1    Labrosse, G.2    Abboudi, S.3    Deville, M.4
  • 16
    • 0000314141 scopus 로고
    • An experimental study of thermal convection in a rotating fluid
    • Hide, R. 1958 An experimental study of thermal convection in a rotating fluid. Phil. Trans. Roy. Soc. Lond. A 250, 441-478.
    • (1958) Phil. Trans. Roy. Soc. Lond. A , vol.250 , pp. 441-478
    • Hide, R.1
  • 17
    • 84886841756 scopus 로고
    • Sloping convection in a rotating fluid
    • Hide, R. & Mason, P. J. 1975 Sloping convection in a rotating fluid. Adv. Phys. 24, 47-99.
    • (1975) Adv. Phys. , vol.24 , pp. 47-99
    • Hide, R.1    Mason, P.J.2
  • 18
    • 84963188187 scopus 로고
    • On the transition between axisymmetric and non-axisymmetric flow in a rotating liquid annulus subject to a horizontal temperature gradient
    • Hide, R. & Mason, P. J. 1978 On the transition between axisymmetric and non-axisymmetric flow in a rotating liquid annulus subject to a horizontal temperature gradient. Geophys. Astrophys. Fluid Dyn. 10, 121-156.
    • (1978) Geophys. Astrophys. Fluid Dyn. , vol.10 , pp. 121-156
    • Hide, R.1    Mason, P.J.2
  • 19
    • 84963253984 scopus 로고
    • Characteristics of amplitude vacillation in a differentially heated rotating fluid annulus
    • Hignett, P. 1985 Characteristics of amplitude vacillation in a differentially heated rotating fluid annulus. Geophys. Astrophys. Fluid Dyn. 31, 247-281.
    • (1985) Geophys. Astrophys. Fluid Dyn. , vol.31 , pp. 247-281
    • Hignett, P.1
  • 20
    • 0022196752 scopus 로고
    • A comparison of laboratory measurements and numerical simulations of baroclinic wave flows in a rotating cylindrical annulus
    • Hignett, P., White, A. A., Carter, R. D., Jackson, W. D. N. & Small, R. M. 1985 A comparison of laboratory measurements and numerical simulations of baroclinic wave flows in a rotating cylindrical annulus. Q. J. R. Met. Soc. 111, 131-154.
    • (1985) Q. J. R. Met. Soc. , vol.111 , pp. 131-154
    • Hignett, P.1    White, A.A.2    Carter, R.D.3    Jackson, W.D.N.4    Small, R.M.5
  • 21
    • 0019896504 scopus 로고
    • The mathematical theory of frontogenesis
    • Hoskins, B. J. 1982 The mathematical theory of frontogenesis. Annu. Rev. Fluid Mech. 14, 131-154.
    • (1982) Annu. Rev. Fluid Mech. , vol.14 , pp. 131-154
    • Hoskins, B.J.1
  • 22
    • 0032531353 scopus 로고    scopus 로고
    • An improved projection scheme applied to pseudospectral methods for the incompressible Navier-Stokes equations
    • Hugues, S. & Randriamampianina, A. 1998 An improved projection scheme applied to pseudospectral methods for the incompressible Navier-Stokes equations. Intl J. Numer. Meth. Fluids 28, 501-521.
    • (1998) Intl J. Numer. Meth. Fluids , vol.28 , pp. 501-521
    • Hugues, S.1    Randriamampianina, A.2
  • 23
    • 84987111540 scopus 로고
    • A combined laboratory and numerical study of fully developed steady baroclinic waves in a cylindrical annulus
    • James, I. N., Jonas, P. R. & Farnell, L. 1981 A combined laboratory and numerical study of fully developed steady baroclinic waves in a cylindrical annulus. Q. J. R. Met. Soc. 107, 51-78.
    • (1981) Q. J. R. Met. Soc. , vol.107 , pp. 51-78
    • James, I.N.1    Jonas, P.R.2    Farnell, L.3
  • 24
    • 33747073893 scopus 로고
    • Laboratory experiments and numerical calculations of baroclinic waves resulting from potential vorticity gradients at low Taylor number
    • Jonas, P. R. 1980 Laboratory experiments and numerical calculations of baroclinic waves resulting from potential vorticity gradients at low Taylor number. Geophys. Astrophys. Fluid Dyn. 15, 297-315.
    • (1980) Geophys. Astrophys. Fluid Dyn. , vol.15 , pp. 297-315
    • Jonas, P.R.1
  • 25
    • 84886828157 scopus 로고
    • Some effects of boundary conditions and fluid properties on vacillation in thermally driven rotating flow in an annulus
    • Jonas, P. R. 1981 Some effects of boundary conditions and fluid properties on vacillation in thermally driven rotating flow in an annulus. Geophys. Astrophys. Fluid Dyn. 18, 1-23.
    • (1981) Geophys. Astrophys. Fluid Dyn. , vol.18 , pp. 1-23
    • Jonas, P.R.1
  • 26
    • 0038097797 scopus 로고
    • Convection in a rotating, laterally heated annulus. The wave number transitions
    • Koschmieder, E. L. & White, H. D. 1981 Convection in a rotating, laterally heated annulus. The wave number transitions. Geophys. Astrophys. Fluid Dyn. 18, 279-299.
    • (1981) Geophys. Astrophys. Fluid Dyn. , vol.18 , pp. 279-299
    • Koschmieder, E.L.1    White, H.D.2
  • 27
    • 0038165878 scopus 로고    scopus 로고
    • Double Hopf bifurcations in the differentially heated rotating annulus
    • Lewis, G. M. & Nagata, W. 2003 Double Hopf bifurcations in the differentially heated rotating annulus. SIAM J. Appl. Maths 63, 1029-1055.
    • (2003) SIAM J. Appl. Maths , vol.63 , pp. 1029-1055
    • Lewis, G.M.1    Nagata, W.2
  • 28
    • 5044232361 scopus 로고    scopus 로고
    • Linear stability analysis for the differentially heated rotating annulus
    • Lewis, G. M. & Nagata, W. 2004 Linear stability analysis for the differentially heated rotating annulus. Geophys. Astrophys. Fluid Dyn. 98, 129-152.
    • (2004) Geophys. Astrophys. Fluid Dyn. , vol.98 , pp. 129-152
    • Lewis, G.M.1    Nagata, W.2
  • 29
    • 0002179740 scopus 로고
    • Two-parameter study of the routes to chaos
    • Libchaber, A., Fauve, S. & Laroche, C. 1983 Two-parameter study of the routes to chaos. Physica D 7, 73-84.
    • (1983) Physica D , vol.7 , pp. 73-84
    • Libchaber, A.1    Fauve, S.2    Laroche, C.3
  • 30
    • 0034528393 scopus 로고    scopus 로고
    • Generation of inertia-gravity waves in a baroclinically unstable fluid
    • Lovegrove, A. F., Read, P. L. & Richards, C. J. 2000 Generation of inertia-gravity waves in a baroclinically unstable fluid. Q. J. R. Met. Soc. 126, 3233-3254.
    • (2000) Q. J. R. Met. Soc. , vol.126 , pp. 3233-3254
    • Lovegrove, A.F.1    Read, P.L.2    Richards, C.J.3
  • 31
    • 0036558939 scopus 로고    scopus 로고
    • Transition vers la turbulence géostrophique pour un écoulement d'air en cavité tournante différentiellement chauffée
    • Maubert, P. & Randriamampianina, A. 2002 Transition vers la turbulence géostrophique pour un écoulement d'air en cavité tournante différentiellement chauffée. C. R. Méc. 330, 365-370.
    • (2002) C. R. Méc. , vol.330 , pp. 365-370
    • Maubert, P.1    Randriamampianina, A.2
  • 32
    • 0142214785 scopus 로고    scopus 로고
    • Phénomènes de vacillation d'amplitude pour un écoulement d'air en cavité tournante différentiellement chauffée
    • Maubert, P. & Randriamampianina, A. 2003 Phénomènes de vacillation d'amplitude pour un écoulement d'air en cavité tournante différentiellement chauffée. C. R. Méc. 331, 673-678.
    • (2003) C. R. Méc. , vol.331 , pp. 673-678
    • Maubert, P.1    Randriamampianina, A.2
  • 33
    • 0026303540 scopus 로고
    • Hysteresis and the transition between axisymmetrical flow and wave flow in the baroclinic annulus
    • Miller, T. L. & Butler, K. A. 1991 Hysteresis and the transition between axisymmetrical flow and wave flow in the baroclinic annulus. J. Atmos. Sci. 48, 811-823.
    • (1991) J. Atmos. Sci. , vol.48 , pp. 811-823
    • Miller, T.L.1    Butler, K.A.2
  • 35
    • 0007754638 scopus 로고
    • Time-dependent modes of thermally-driven rotating fluids
    • Pfeffer, R. L., Buzyna, G. & Kung, R. 1980 Time-dependent modes of thermally-driven rotating fluids. J. Atmos. Sci. 37, 2129-2149.
    • (1980) J. Atmos. Sci. , vol.37 , pp. 2129-2149
    • Pfeffer, R.L.1    Buzyna, G.2    Kung, R.3
  • 37
    • 0020002828 scopus 로고
    • Dynamics and symmetry: Predictions for modulated waves in rotating fluids
    • Rand, D. 1982 Dynamics and symmetry: Predictions for modulated waves in rotating fluids. Arch. Rat. Mech. Anal. 79, 705-720.
    • (1982) Arch. Rat. Mech. Anal. , vol.79 , pp. 705-720
    • Rand, D.1
  • 38
    • 0342689580 scopus 로고    scopus 로고
    • A numerical study of the effects of Coriolis and centrifugal forces on buoyancy driven flows in a vertical rotating annulus
    • In (ed. G. De Vahl Davis & E. Leonardi), Begell House
    • Randriamampianina, A., Leonardi, E. & Bontoux, P. 1998 A numerical study of the effects of Coriolis and centrifugal forces on buoyancy driven flows in a vertical rotating annulus. In Advances in Computational Heat Transfer (ed. G. De Vahl Davis & E. Leonardi), pp. 322-329. Begell House.
    • (1998) Advances in Computational Heat Transfer , pp. 322-329
    • Randriamampianina, A.1    Leonardi, E.2    Bontoux, P.3
  • 39
    • 0036568498 scopus 로고    scopus 로고
    • A spectral projection method for the simulation of complex three-dimensional rotating flows
    • Raspo, I., Hugues, S., Serre, E., Randriamampianina, A. & Bontoux, P. 2002 A spectral projection method for the simulation of complex three-dimensional rotating flows. Computers Fluids. 31, 745-767.
    • (2002) Computers Fluids , vol.31 , pp. 745-767
    • Raspo, I.1    Hugues, S.2    Serre, E.3    Randriamampianina, A.4    Bontoux, P.5
  • 40
    • 0035685484 scopus 로고    scopus 로고
    • Transition to geostrophic turbulence in the laboratory, and as a paradigm in atmospheres and oceans
    • Read, P. L. 2001 Transition to geostrophic turbulence in the laboratory, and as a paradigm in atmospheres and oceans. Surveys in Geophys. 22, 265-317.
    • (2001) Surveys in Geophys. , vol.22 , pp. 265-317
    • Read, P.L.1
  • 41
    • 0026796877 scopus 로고
    • Quasi-periodic and chaotic flow regimes in a thermally-driven, rotating fluid annulus
    • Read, P. L., Bell, M. J., Johnson, D. W. & Small, R. M. 1992 Quasi-periodic and chaotic flow regimes in a thermally-driven, rotating fluid annulus. J. Fluid Mech. 238, 599-632.
    • (1992) J. Fluid Mech. , vol.238 , pp. 599-632
    • Read, P.L.1    Bell, M.J.2    Johnson, D.W.3    Small, R.M.4
  • 42
    • 0031899416 scopus 로고    scopus 로고
    • Wave interactions and baroclinic chaos: A paradigm for long timescale variability in planetary atmospheres
    • Read, P. L., Collins, M., Früte W.-G., Lewis, S. R. & Lovegrove, A. F. 1998 Wave interactions and baroclinic chaos: A paradigm for long timescale variability in planetary atmospheres. Chaos, Solitons Fractals 9, 231-249.
    • (1998) Chaos, Solitons Fractals , vol.9 , pp. 231-249
    • Read, P.L.1    Collins, M.2    Früte, W.-G.3    Lewis, S.R.4    Lovegrove, A.F.5
  • 43
    • 0025656779 scopus 로고
    • An instability of mature cold fronts
    • Schär, C. & Davies, H. C. 1990 An instability of mature cold fronts. J. Atmos. Sci. 47, 929-950.
    • (1990) J. Atmos. Sci. , vol.47 , pp. 929-950
    • Schär, C.1    Davies, H.C.2
  • 45
    • 0001182405 scopus 로고
    • A pseudospectral solution of vorticity-streamfunction equations using the influence matrix technique
    • In (ed. K. W. Morton & M. J. Baines), Clarendon
    • Vanel, J. M., Peyret, R. & Bontoux, P. 1986 A pseudospectral solution of vorticity-streamfunction equations using the influence matrix technique. In Numerical Methods in Fluid Dynamics II (ed. K. W. Morton & M. J. Baines), pp. 463-475. Clarendon.
    • (1986) Numerical Methods in Fluid Dynamics II , pp. 463-475
    • Vanel, J.M.1    Peyret, R.2    Bontoux, P.3
  • 46
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • Wolf, A., Swift, J. B., Swinney, H. L. & Vastano, J. A. 1985 Determining Lyapunov exponents from a time series. Physica D 16, 285-317.
    • (1985) Physica D , vol.16 , pp. 285-317
    • Wolf, A.1    Swift, J.B.2    Swinney, H.L.3    Vastano, J.A.4
  • 47
    • 0025448213 scopus 로고
    • Spectral methods for simulations of transition and turbulence
    • Zang, T. A. 1990 Spectral methods for simulations of transition and turbulence. Comput. Meth. Appl. Mech. Engng 80, 209-221.
    • (1990) Comput. Meth. Appl. Mech. Engng , vol.80 , pp. 209-221
    • Zang, T.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.