메뉴 건너뛰기




Volumn 4, Issue 1, 2005, Pages 159-186

Blinking rolls: Chaotic advection in a three-dimensional flow with an invariant

Author keywords

Chaotic advection; Mixing; Transport; Volume preserving mappings

Indexed keywords

CHAOTIC ADVECTION; TRANSPORT; VOLUME-PRESERVING MAPPINGS;

EID: 33644896581     PISSN: 15360040     EISSN: 15360040     Source Type: Journal    
DOI: 10.1137/040606727     Document Type: Article
Times cited : (20)

References (43)
  • 1
    • 0021443337 scopus 로고
    • Stirring by chaotic advection
    • H. AREF, Stirring by chaotic advection, J. Fluid Mech., 143 (1984), pp. 1-21.
    • (1984) J. Fluid Mech. , vol.143 , pp. 1-21
    • Aref, H.1
  • 2
    • 0036538666 scopus 로고    scopus 로고
    • The development of chaotic advection
    • H. AREF, The development of chaotic advection, Phys. Fluids, 14 (2002), pp. 1315-1325.
    • (2002) Phys. Fluids , vol.14 , pp. 1315-1325
    • Aref, H.1
  • 4
    • 0002223933 scopus 로고
    • Normal form theory for volume-preserving maps
    • A. BAZZANI, Normal form theory for volume-preserving maps, Z. Angew. Math. Phys., 44 (1993), pp. 147-172.
    • (1993) Z. Angew. Math. Phys. , vol.44 , pp. 147-172
    • Bazzani, A.1
  • 5
    • 0005184819 scopus 로고    scopus 로고
    • Perturbation theory for volume-preserving maps: Application to the magnetic field lines in plasma physics
    • Analysis and Modelling of Discrete Dynamical Systems, Gordon and Breach, Amsterdam
    • A. BAZZANI AND A. DI SEBASTIANO, Perturbation theory for volume-preserving maps: Application to the magnetic field lines in plasma physics., in Analysis and Modelling of Discrete Dynamical Systems, Adv. Discrete Math. Appl. 1, Gordon and Breach, Amsterdam, 1998, pp. 283-300.
    • (1998) Adv. Discrete Math. Appl. , vol.1 , pp. 283-300
    • Bazzani, A.1    Di Sebastiano, A.2
  • 6
    • 34250588943 scopus 로고
    • Surface transformations and their dynamical applications
    • G. BIRKHOFF, Surface transformations and their dynamical applications, Acta Math., 43 (1920), pp. 1-119.
    • (1920) Acta Math. , vol.43 , pp. 1-119
    • Birkhoff, G.1
  • 7
    • 33644930418 scopus 로고    scopus 로고
    • personal communication
    • P. BOYLAND, personal communication, 2003.
    • (2003)
    • Boyland, P.1
  • 8
    • 0008264223 scopus 로고
    • Ocean stirring and chaotic low-order dynamics
    • M. BROWN AND K. SMITH, Ocean stirring and chaotic low-order dynamics, Phys. Fluids, 3 (1991), pp. 1186-1192.
    • (1991) Phys. Fluids , vol.3 , pp. 1186-1192
    • Brown, M.1    Smith, K.2
  • 9
    • 0001218019 scopus 로고
    • Convection in a rotating layer-simple case of turbulence
    • F. BUSSE AND K. E. HEIKES, Convection in a rotating layer-simple case of turbulence, Science, 208 (1980), pp. 173-175.
    • (1980) Science , vol.208 , pp. 173-175
    • Busse, F.1    Heikes, K.E.2
  • 11
    • 0030153058 scopus 로고    scopus 로고
    • Chaotic advection in three dimensional unsteady incompressible laminar flow
    • J. CARTWRIGHT, M. FEINGOLD, AND O. PIRO, Chaotic advection in three dimensional unsteady incompressible laminar flow, J. Fluid Mech., 316 (1996), pp. 259-284.
    • (1996) J. Fluid Mech. , vol.316 , pp. 259-284
    • Cartwright, J.1    Feingold, M.2    Piro, O.3
  • 12
    • 0001832324 scopus 로고
    • Passive scalars and three-dimensional Liouvillian maps
    • J. H. E. CARTWRIGHT, M. O. FEINGOLD, AND O. PIRO, Passive scalars and three-dimensional Liouvillian maps, Phys. D, 76 (1994), pp. 22-33.
    • (1994) Phys. D , vol.76 , pp. 22-33
    • Cartwright, J.H.E.1    Feingold, M.O.2    Piro, O.3
  • 14
    • 0002232810 scopus 로고
    • A simple global characterization for normal forms of singular vector fields
    • C. ELPHICK, E. TIRAPEGUI, M. BRACHET, P. COULLET, AND G. IOOSS, A simple global characterization for normal forms of singular vector fields, Phys. D, 29 (1987), pp. 95-127.
    • (1987) Phys. D , vol.29 , pp. 95-127
    • Elphick, C.1    Tirapegui, E.2    Brachet, M.3    Coullet, P.4    Iooss, G.5
  • 15
    • 0000743859 scopus 로고
    • Passive scalars, three-dimensional volume-preserving maps, and chaos
    • M. FEINGOLD, L. KADANOFF, AND O. PIRO, Passive scalars, three-dimensional volume-preserving maps, and chaos, J. Statist. Phys., 50 (1988), pp. 529-565.
    • (1988) J. Statist. Phys. , vol.50 , pp. 529-565
    • Feingold, M.1    Kadanoff, L.2    Piro, O.3
  • 17
    • 4243659456 scopus 로고    scopus 로고
    • Lagrangian chaos and correlated Levy flights in a non-Beltrami flow: Transient versus long-term transport
    • M. FOGLEMAN, M. FAWCETT, AND T. SOLOMON, Lagrangian chaos and correlated Levy flights in a non-Beltrami flow: Transient versus long-term transport, Phys. Rev. E (3), 63 (2001), pp. 1-4.
    • (2001) Phys. Rev. E (3) , vol.63 , pp. 1-4
    • Fogleman, M.1    Fawcett, M.2    Solomon, T.3
  • 18
    • 0032584576 scopus 로고    scopus 로고
    • Visualization of three-dimensional chaos
    • G. FOUNTAIN, F. KHAKHAR, AND J. OTTINO, Visualization of three-dimensional chaos, Science, 281 (1998), pp. 683-686.
    • (1998) Science , vol.281 , pp. 683-686
    • Fountain, G.1    Khakhar, F.2    Ottino, J.3
  • 19
    • 0033838110 scopus 로고    scopus 로고
    • Chaotic mixing in a bounded three-dimensional flow
    • G. O. FOUNTAIN, D. V. KHAKHAR, I. MEZIC, AND J. OTTINO, Chaotic mixing in a bounded three-dimensional flow, J. Fluid Mech., 417 (2000), pp. 265-301.
    • (2000) J. Fluid Mech. , vol.417 , pp. 265-301
    • Fountain, G.O.1    Khakhar, D.V.2    Mezic, I.3    Ottino, J.4
  • 20
    • 0036592352 scopus 로고    scopus 로고
    • Volume-preserving maps with an invariant
    • A. GOMEZ AND J. MEISS, Volume-preserving maps with an invariant, Chaos, 12 (2002), pp. 289-299.
    • (2002) Chaos , vol.12 , pp. 289-299
    • Gomez, A.1    Meiss, J.2
  • 21
    • 0010503563 scopus 로고    scopus 로고
    • Computation of the Lyapunov spectrum for continuous-time dynamical systems and discrete maps
    • S. HABIB, T. JANAKI, G. RANGARAJAN, AND R. D. RYNE, Computation of the Lyapunov spectrum for continuous-time dynamical systems and discrete maps, Phys. Rev. E (3), 60 (1999), pp. 6614-6626.
    • (1999) Phys. Rev. E (3) , vol.60 , pp. 6614-6626
    • Habib, S.1    Janaki, T.2    Rangarajan, G.3    Ryne, R.D.4
  • 22
    • 0032209440 scopus 로고    scopus 로고
    • Convection under rotation for Prandtl numbers near 1: Küppers-Lortz instability
    • Y. HU, W. PESCH, G. AHLERS, AND R. ECKE, Convection under rotation for Prandtl numbers near 1: Küppers-Lortz instability, Phys. Rev. E (3), 58 (1998), pp. 5821-5833.
    • (1998) Phys. Rev. E (3) , vol.58 , pp. 5821-5833
    • Hu, Y.1    Pesch, W.2    Ahlers, G.3    Ecke, R.4
  • 23
    • 67649526108 scopus 로고    scopus 로고
    • Invariant manifolds and Lagrangian dynamics in the ocean and atmosphere
    • North-Holland, Amsterdam
    • C. JONES AND S. WINKLER, Invariant manifolds and Lagrangian dynamics in the ocean and atmosphere, in Handbook of Dynamical Systems, Vol. 2, North-Holland, Amsterdam, 2002, pp. 55-92.
    • (2002) Handbook of Dynamical Systems , vol.2 , pp. 55-92
    • Jones, C.1    Winkler, S.2
  • 24
    • 0000550285 scopus 로고
    • Stochastic pathway to anomalous diffusion
    • J. KLAFTER, A. BLUMEN, AND M. SHLESINGER, Stochastic pathway to anomalous diffusion, Phys. Rev. A (3), 35 (1987), pp. 3081-3085.
    • (1987) Phys. Rev. A (3) , vol.35 , pp. 3081-3085
    • Klafter, J.1    Blumen, A.2    Shlesinger, M.3
  • 26
    • 0005205960 scopus 로고
    • Anomalous diffusion and Lévy statistics in intermittent chaotic systems
    • Chaos: The Interplay between Stochastic and Deterministic Behavior, Springer-Verlag, Berlin
    • J. KLAFTER., G. ZUMOFEN, AND M. SHLESINGER., Anomalous diffusion and Lévy statistics in intermittent chaotic systems, in Chaos: The Interplay between Stochastic and Deterministic Behavior, Lecture Notes in Phys. 457, Springer-Verlag, Berlin, 1995, pp. 183-210.
    • (1995) Lecture Notes in Phys. , vol.457 , pp. 183-210
    • Klafter, J.1    Zumofen, G.2    Shlesinger, M.3
  • 28
    • 0014467322 scopus 로고
    • Transition from laminar convection to thermal turbulence in a rotating fluid layer
    • G. KÜPPERS AND D. LORTZ, Transition from laminar convection to thermal turbulence in a rotating fluid layer, J. Fluid Mech., 35 (1969), pp. 609-620.
    • (1969) J. Fluid Mech. , vol.35 , pp. 609-620
    • Küppers, G.1    Lortz, D.2
  • 29
    • 0010159050 scopus 로고    scopus 로고
    • Quadratic volume-preserving maps
    • H. LOMELÍ AND J. MEISS, Quadratic volume-preserving maps, Nonlinearity, 11 (1998), pp. 557-574.
    • (1998) Nonlinearity , vol.11 , pp. 557-574
    • Lomelí, H.1    Meiss, J.2
  • 30
    • 0034147093 scopus 로고    scopus 로고
    • Heteroclinic primary intersections and codimension one Melnikov method for volume-preserving maps
    • H. LOMELÍ AND J. MEISS, Heteroclinic primary intersections and codimension one Melnikov method for volume-preserving maps, Chaos, 10 (2000), pp. 109-121.
    • (2000) Chaos , vol.10 , pp. 109-121
    • Lomelí, H.1    Meiss, J.2
  • 31
    • 0142168384 scopus 로고    scopus 로고
    • Heteroclinic orbits between invariant circles in volume-preserving mappings
    • H. E. LOMELÍ AND J. MEISS, Heteroclinic orbits between invariant circles in volume-preserving mappings, Nonlinearity, 16 (2003), pp. 1573-1595.
    • (2003) Nonlinearity , vol.16 , pp. 1573-1595
    • Lomelí, H.E.1    Meiss, J.2
  • 32
    • 0035374326 scopus 로고    scopus 로고
    • Population dynamics advected by chaotic flows: A discrete-time map approach
    • C. LOPEZ, E. HERNANDEZ-GARCIA, O. PIRO, A. VULPIANI, AND E. ZAMBIANCHI, Population dynamics advected by chaotic flows: A discrete-time map approach, Chaos, 11 (2001), pp. 397-403.
    • (2001) Chaos , vol.11 , pp. 397-403
    • Lopez, C.1    Hernandez-Garcia, E.2    Piro, O.3    Vulpiani, A.4    Zambianchi, E.5
  • 34
    • 11544292141 scopus 로고
    • Stationary convection in a binary mixture
    • E. MOSES AND V. STEINBERG, Stationary convection in a binary mixture, Phys. Rev. A (3), 43 (1991), pp. 707-722.
    • (1991) Phys. Rev. A (3) , vol.43 , pp. 707-722
    • Moses, E.1    Steinberg, V.2
  • 35
    • 0036592281 scopus 로고    scopus 로고
    • Chaotic mixing induced transitions in reaction-diffusion systems
    • Z. NEUFIELD, P. HAYNES, AND T. TEL, Chaotic mixing induced transitions in reaction-diffusion systems, Chaos, 12 (2002), pp. 426-438.
    • (2002) Chaos , vol.12 , pp. 426-438
    • Neufield, Z.1    Haynes, P.2    Tel, T.3
  • 37
    • 0001172550 scopus 로고
    • Diffusion in three-dimensional Liouvillian maps
    • O. PIRO AND M. FEINGOLD, Diffusion in three-dimensional Liouvillian maps, Phys. Rev. Lett., 61 (1988), pp. 1799-1802.
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 1799-1802
    • Piro, O.1    Feingold, M.2
  • 38
    • 0002709176 scopus 로고
    • The break-up of a heteroclinic connection in a volume preserving mapping
    • L. ROM-KEDAR, V. KADANOFF, E. CHING, AND C. AMICK, The break-up of a heteroclinic connection in a volume preserving mapping, Phys. D, 62 (1993), pp. 51-65.
    • (1993) Phys. D , vol.62 , pp. 51-65
    • Rom-Kedar, L.1    Kadanoff, V.2    Ching, E.3    Amick, C.4
  • 40
    • 0035252585 scopus 로고    scopus 로고
    • Attraction of minute particles to invariant regions of volume preserving flows by transients
    • T. SHINBROT, M. ALVAREZ, J. ZALC, AND F. MUZZIO, Attraction of minute particles to invariant regions of volume preserving flows by transients, Phys. Rev. Lett., 86 (2001), pp. 1207-1210.
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 1207-1210
    • Shinbrot, T.1    Alvarez, M.2    Zalc, J.3    Muzzio, F.4
  • 42
    • 0343341618 scopus 로고    scopus 로고
    • Period stabilization in the Busse-Heikes model of the Küppers-Lortz instability
    • R. TORAL, M. SAN MIGUEL, AND R. GALLEGO, Period stabilization in the Busse-Heikes model of the Küppers-Lortz instability, Phys. A, 280 (2000), pp. 315-336.
    • (2000) Phys. A , vol.280 , pp. 315-336
    • Toral, R.1    San Miguel, M.2    Gallego, R.3
  • 43
    • 0001584254 scopus 로고
    • Chaotic domain structure in rotating convection
    • Y. TU AND M. CROSS, Chaotic domain structure in rotating convection, Phys. Rev. Lett., 69 (1992), pp. 2515-2518.
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2515-2518
    • Tu, Y.1    Cross, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.