Note on the Beam Structure in Step-Trapped Internal Tides

Author:

Sanders Paul A.1,Dorrestijn Martijn D.1,Gerkema Theo2ORCID

Affiliation:

1. a Department of Applied Physics, Eindhoven University of Technology, Eindhoven, Netherlands

2. b Department of Estuarine and Delta Systems, NIOZ Royal Netherlands Institute for Sea Research, Yerseke, Netherlands

Abstract

Abstract The along-slope propagation of subinertial trapped internal tides is studied for the configuration of a simple step. It is revealed that they form a beam structure in the along-slope direction that is evanescent above the top of the step; these beams lack strict periodicity in the along-slope direction. As in classical internal Kelvin waves, they become less sharp away from the step, as higher modes decay more rapidly in the cross-slope direction. We discuss implications for abyssal mixing and outline the necessary ingredients for their generation.

Publisher

American Meteorological Society

Reference10 articles.

1. On the failure of Laplace’s tidal equations to model subinertial motions at a discontinuity in depth;Chapman, D. C.,1982

2. Small-amplitude coastally trapped disturbances and the reduced-gravity shallow-water approximation;Durran, D. R.,2000

3. On the generation of bottom-trapped internal tides;Falahat, S.,2015

4. Gerkema, T., 2019: An Introduction to Tides. Cambridge University Press, 214 pp.

5. Coastally trapped waves in the atmosphere;Gill, A. E.,1977

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