Tidally generated internal-wave attractors between double ridges
Name
Peacock_Tidally generated.pdf
Size
1.14 MB
Format
Adobe PDF
Checksum (MD5)
68fab8068f56e639217ef2c603b873b3
Author(s)
Echeverri, Paula
Yokossi, Tite
Peacock, Thomas
Balmforth, Neil J.
Date Issued
January 2011
Journal
Journal of Fluid Mechanics
Publisher
Cambridge University Press
Citation
ECHEVERRI, P., T. YOKOSSI, N. J. BALMFORTH, and T. PEACOCK. Tidally Generated Internal-wave Attractors Between Double Ridges. Journal of Fluid Mechanics 669 (February 11, 2011): 354-374. Copyright © Cambridge University Press 2011
Version
Final published version
Abstract
A study is presented of the generation of internal tides by barotropic tidal flow over topography in the shape of a double ridge. An iterative map is constructed to expedite the search for the closed ray paths that form wave attractors in this geometry. The map connects the positions along a ray path of consecutive reflections from the surface, which is double-valued owing to the presence of both left- and right-going waves, but which can be made into a genuine one-dimensional map using a checkerboarding algorithm. Calculations are then presented for the steady-state scattering of internal tides from the barotropic tide above the double ridges. The calculations exploit a Green function technique that distributes sources along the topography to generate the scattering, and discretizes in space to calculate the source density via a standard matrix inversion. When attractors are present, the numerical procedure appears to fail, displaying no convergence with the number of grid points used in the spatial discretizations, indicating a failure of the Green function solution. With the addition of dissipation into the problem, these difficulties are avoided, leading to convergent numerical solutions. The paper concludes with a comparison between theory and a laboratory experiment.
MIT Department
Massachusetts Institute of Technology. Department of Economics
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1017/S0022112010005069
