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Chaotic stirring in a tidal system.

H Ridderinkhof, J T Zimmerman

    Science (New York, N.Y.)
    |November 13, 1992
    PubMed
    Summary
    This summary is machine-generated.

    Lagrangian chaos was found in Wadden Sea water parcel trajectories due to tidal dynamics. This chaotic stirring enhances rapid water mixing along channels, a phenomenon likely common in shallow tidal seas.

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    Area of Science:

    • Fluid dynamics
    • Oceanography
    • Chaos theory

    Background:

    • Shallow tidal seas exhibit complex water movement patterns.
    • Understanding water parcel trajectories is crucial for ecological and transport studies.

    Purpose of the Study:

    • To investigate the nature of water parcel movement in a two-dimensional tidal model of the Wadden Sea.
    • To identify the underlying mechanisms driving dispersion in tidal systems.

    Main Methods:

    • Analysis of a two-dimensional tidal model.
    • Examination of Lagrangian trajectories.
    • Identification of hyperbolic fixed points and their associated stable/unstable manifolds.
    • Construction of the tidal Poincaré map.

    Main Results:

    • The study reveals Lagrangian chaos in water parcel trajectories.
    • Chaotic stirring arises from the transverse intersection of stable and unstable curves of hyperbolic fixed points.
    • This mechanism is evident in the Lagrangian residual displacement field, termed the tidal Poincaré map.

    Conclusions:

    • The identified tidal dispersion mechanism promotes rapid water exchange along the channel axis.
    • This phenomenon of Lagrangian chaos may be representative of many shallow tidal seas.
    • The findings contribute to understanding mixing processes in coastal marine environments.