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  • An extended equatorial plane: linear spectrum and resonant triads

    Author(s)
    Bates, Michael
    H. J. Grimshaw, Roger
    Griffith University Author(s)
    Bates, Michael
    Year published
    2014
    Metadata
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    Abstract
    The usual equatorial ߭plane supports a range of wave types, including trapped baroclinic Rossby waves, a Yanai wave and a Kelvin wave, which are known to be important in equatorial wave dynamics, both linear and nonlinear. Here, we extend this model to the whole sphere, using a Mercator projection, in which the Coriolis parameter is retained in full, but the metric coefficients are approximated by their values at the equator. We find that while the trapped baroclinic waves are preserved in this model, the barotropic waves are also trapped, with consequences for nonlinear resonant triad interactions.The usual equatorial ߭plane supports a range of wave types, including trapped baroclinic Rossby waves, a Yanai wave and a Kelvin wave, which are known to be important in equatorial wave dynamics, both linear and nonlinear. Here, we extend this model to the whole sphere, using a Mercator projection, in which the Coriolis parameter is retained in full, but the metric coefficients are approximated by their values at the equator. We find that while the trapped baroclinic waves are preserved in this model, the barotropic waves are also trapped, with consequences for nonlinear resonant triad interactions.
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    Journal Title
    Geophysical and Astrophysical Fluid Dynamics
    Volume
    108
    Issue
    1
    DOI
    https://doi.org/10.1080/03091929.2013.819572
    Subject
    Fluid Physics
    Atmospheric Dynamics
    Physical Oceanography
    Publication URI
    http://hdl.handle.net/10072/67702
    Collection
    • Journal articles

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