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Note on the redistribution and dissipation of tidal energy over mid-ocean ridges Cover

Note on the redistribution and dissipation of tidal energy over mid-ocean ridges

By:  and    
Open Access
|Dec 2015

Figures & Tables

Fig. 1

Horizontal velocity on day 80. Beam 1, beam 2 and beam 3 are associated with frequencies ωM2, ωM2-f and f, respectively. Dots show locations where the zonal velocities are used to estimate the frequency spectra (Fig. 2).

Fig. 2

Frequency spectra of the horizontal velocities sampled at different points in the simulated domain. The locations of the sampled points are listed in the right-upper corner of each panel and are marked in Fig. 1. Approximate 95% confidence intervals are marked with thin red curves and the number of degrees-of-freedom is about 10. Three vertical black lines show the theoretical frequencies (from left to right: f, ωM2-f and ωM2).

Fig. 3

Zonal velocities in different frequency bands on day 80. (a) The total frequency bands, (b) ωM2, (c) ωM2-f and (d) f. Frequency bands are listed in the right-upper corner of each panel. Note the phase change of the zonal velocities near the beams.

Fig. 4

Variances of zonal velocities in different frequency bands after the model reaches a steady-state. (a) The total in all frequency bands, (b) ωM2, (c) ωM2-f and (d) f. In the upper two panels, the values outside of the beams are mainly due to the barotropic M 2 tides. Note the different colour limits for the upper and lower panels.

Fig. 5

Horizontal and vertical energy fluxes. (a) <pu>, (b) <pw>. Here <> represents temporal averaging after the model reaches the steady-state.

Fig. 6

Temporal means of the estimated energy dissipation rates and related quantities. (a) Shear, (b) buoyancy frequency, (c) gradient Richardson number (Ri) and (d) turbulent energy dissipation rate (ɛ).

Fig. 7

Temporal evolution of the different frequency components at a point 200 m above the ridge crest. The four panels from top to bottom are zonal velocity in the total frequency bands, ωM2, ωM2-f and f, respectively. Note the decrease of the amplitude of u at ωM2 and the increase of the amplitudes of u at ωM2-f and f in the first 20 d.

Fig. 8

Temporal evolution of the M 2f beams in the early stage of the simulation.

Fig. 9

Isothermals at hour 12. A lee wave train appears on the left side of the ridge crest.

Language: English
Page range: 27385 - 27385
Submitted on: Jan 24, 2015
Accepted on: Jul 21, 2015
Published on: Dec 1, 2015
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 2015 Xinfeng Liang, Carl Wunsch, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.