Journal of Fluid Mechanics

Papers

Internal tide generation by arbitrary two-dimensional topography

PAULA ECHEVERRIa1 c1 and THOMAS PEACOCKa1

a1 Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA

Abstract

To date, analytical models of internal tide generation by two-dimensional ridges have considered only idealized shapes. Here, we advance the Green function approach to address the generation of internal tides by two-dimensional topography of arbitrary shape, employing the Wentzel-Kramers-Brillouin (WKB) approximation to consider the impact of non-uniform stratifications. This allows for a more accurate analytical estimation of tidal conversion rates. Studies of single and double ridges reveal that the conversion rate and the nature of the radiated internal tide can be sensitive to the topographic shape, particularly around criticality and when there is interference between wave fields generated by neighbouring ridges. The method is then applied to the study of two important internal tide generation sites, the Hawaiian and Luzon Ridges, where it captures key features of the generation process.

(Received August 24 2009)

(Revised April 19 2010)

(Accepted April 19 2010)

(Online publication June 30 2010)

Key words:

  • internal waves;
  • stratified flows;
  • topographic effects

Correspondence:

c1 Email address for correspondence: pauleche@gmail.com

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