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  • Journal of Fluid Mechanics, Volume 636
  • October 2009, pp. 91-108

Low-mode internal tide generation by topography: an experimental and numerical investigation

  • PAULA ECHEVERRI (a1), M. R. FLYNN (a2), KRAIG B. WINTERS (a3) and THOMAS PEACOCK (a4)
  • DOI: http://dx.doi.org/10.1017/S0022112009007654
  • Published online: 25 September 2009
Abstract

We analyse the low-mode structure of internal tides generated in laboratory experiments and numerical simulations by a two-dimensional ridge in a channel of finite depth. The height of the ridge is approximately half of the channel depth and the regimes considered span sub- to supercritical topography. For small tidal excursions, of the order of 1% of the topographic width, our results agree well with linear theory. For larger tidal excursions, up to 15% of the topographic width, we find that the scaled mode 1 conversion rate decreases by less than 15%, in spite of nonlinear phenomena that break down the familiar wave-beam structure and generate harmonics and inter-harmonics. Modes two and three, however, are more strongly affected. For this topographic configuration, most of the linear baroclinic energy flux is associated with the mode 1 tide, so our experiments reveal that nonlinear behaviour does not significantly affect the barotropic to baroclinic energy conversion in this regime, which is relevant to large-scale ocean ridges. This may not be the case, however, for smaller scale ridges that generate a response dominated by higher modes.

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Email address for correspondence: paulae@mit.edu
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D. A. Aguilar & B. R. Sutherland 2006 Internal wave generation from rough topography. Phys. Fluids 18, 066603.


E. Di Lorenzo , W. R. Young & S. G. Llewellyn Smith 2006 Numerical and analytical estimates of M2 tidal conversion at steep oceanic ridges. J. Phys. Oceanogr. 36, 10721084.

G. D. Egbert & R. D. Ray 2000 Significant dissipation of tidal energy in the deep ocean inferred from satellite altimeter data. Nature 405, 775778.


C. Garrett & E. Kunze 2007 Internal tide generation in the deep ocean. Annu. Rev. Fluid Mech. 39, 5787.



E. Kunze & S. G. Llewellyn Smith 2004 The role of small-scale topography in turbulent mixing of the global ocean. Oceanography 17, 5564.

K. G. Lamb 2004 Nonlinear interaction among internal wave beams generated by tidal flow over supercritical topography. Geophys. Res. Lett. 31, L09313.

S. Legg & K. M. H. Huijts 2006 Preliminary simulations of internal waves and mixing generated by finite amplitude tidal flow over isolated topography. Deep-Sea Res. II 53, 140156.


J. D. Nash , M. H. Alford & E. Kunze 2005 Estimating internal wave energy fluxes in the ocean. J. Atmos. Ocean. Technol. 22, 15511570.

G. Oster 1965 Density gradients. Sci. Am. 213, 7076.

T. Peacock , P. Echeverri & N. J. Balmforth 2008 An experimental investigation of internal tide generation by two-dimensional topography. J. Phys. Oceanogr. 38, 235242.

T. Peacock & A. Tabaei 2005 Visualization of nonlinear effects in reflecting internal wave beams. Phys. Fluids 17, 061702.

F. Pétrélis , S. G. Llewellyn Smith & W. R. Young 2006 Tidal conversion at a submarine ridge. J. Phys. Oceanogr. 36, 10531071.

R. D. Ray & G. T. Mitchum 1997 Surface manifestation of internal tides in the deep ocean: osbservations from altimetry and island gauges. Prog. Oceanogr. 40, 135162.

D. L. Rudnick , T. J. Boyd , R. E. Brainard , G. S. Carter , G. D. Egbert , M. C. Gregg , P. E. Holloway , J. M. Klymak , E. Kunze , C. M. Lee , M. D. Levine , D. S. Luther , J. P. Martin , M. A. Merrifield , J. N. Moum , J. D. Nash , R. Pinkel , L. Rainville & T. B. Sanford 2003 From tides to mixing along the Hawaiian ridge. Science 301, 355357.

H. L. Simmons , R. W. Hallberg & B. K. Arbic 2004 Internal wave generation in a global baroclinic tide model. Deep-Sea Res. II 51, 30433068.

E. A. Spiegel & G. Veronis 1960 On the Boussinesq approximation for a compressible fluid. Astrophys. J. 131, 442447.

L. C. Laurent St. & C. Garrett 2002 The role of internal tides in mixing the deep ocean. J. Phys. Oceanogr. 32, 28822899.


H. P. Zhang , B. King & H. L. Swinney 2007 Experimental study of internal gravity waves generated by supercritical topography. Phys. Fluids 19, 096602.

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  • ISSN: 0022-1120
  • EISSN: 1469-7645
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