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Effects of an along-shelf current on the generation of internal tides near the critical latitude

Published online by Cambridge University Press:  15 December 2021

Yangxin He Open the ORCID record for Yangxin He [Opens in a new window]  and
Kevin G. Lamb Open the ORCID record for Kevin G. Lamb [Opens in a new window]
Yangxin He*
Affiliation:
Department of Applied Math, University of Waterloo, Waterloo, ON N2L 3G1, Canada
Kevin G. Lamb*
Affiliation:
Department of Applied Math, University of Waterloo, Waterloo, ON N2L 3G1, Canada
*
†Email addresses for correspondence: y67he@uwaterloo.ca, kglamb@uwaterloo.ca
†Email addresses for correspondence: y67he@uwaterloo.ca, kglamb@uwaterloo.ca
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Abstract

The effects of along-shelf barotropic geostrophic currents on internal wave generation by the $K_1$ tide interacting with a shelf at near-critical latitudes are investigated. The horizontal shear of the background current results in a spatially varying effective Coriolis frequency which modifies the slope criticality and potentially creates blocking regions where freely propagating internal tides cannot exist. This paper is focused on the barotropic to baroclinic energy conversion rate, which is affected by a combination of three factors: slope criticality, size and location of the blocking region where the conversion rate is extremely small and the internal tide (IT) beam patterns. All of these are sensitive to the current parameters. In our parameter space, the current can increase the conversion rate up to 10 times.

JFM classification

Geophysical and Geological Flows: Internal waves Geophysical and Geological Flows: Waves in rotating fluids Geophysical and Geological Flows: Stratified flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 932 , 10 February 2022 , A55
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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