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Experiments on the generation of internal waves over continental shelf topography

Published online by Cambridge University Press:  08 September 2010

K. LIM
Affiliation:
School of Environmental Systems Engineering, University of Western Australia, 35 Stirling Highway, Crawley 6009, Australia
G. N. IVEY
Affiliation:
School of Environmental Systems Engineering, University of Western Australia, 35 Stirling Highway, Crawley 6009, Australia
N. L. JONES*
Affiliation:
School of Environmental Systems Engineering, University of Western Australia, 35 Stirling Highway, Crawley 6009, Australia
*
Email address for correspondence: [email protected]

Abstract

Experiments were performed to examine the generation of internal waves by a barotropic tide forcing a continuously stratified fluid over idealized continental shelf/slope topography. A range of responses was observed, including the generation of both internal wave beams and boundary layer boluses, primarily dependent on the values of both the Reynolds number and the topographic steepness parameter. The formation of beams required a critical bottom slope, whilst for bolus formation a large vertical fluid excursion was necessary. A bolus formed when the non-dimensional vertical excursion parameter ΔhN/W0 > 3.2. Here Δh is the vertical excursion, N is the buoyancy frequency and W0 is the near-bottom vertical velocity associated with the local depth-averaged velocity. We simplified the classification of the observed flow regimes using a generation parameter G, defined as the ratio of a Reynolds number to the topographic steepness parameter. The estimated flow regime boundaries were: for G < 3 only a beam was observed, for 3 < G < 50 there was a transitional regime with both a beam and a bolus observed, for 50 < G < 400 there was another transitional regime with no beam but a bolus observed, and finally for the regime with G > 400 there was no bolus observed. We estimated that approximately 4% of the barotropic energy was converted to baroclinic energy when beams were generated.

Type
Papers
Copyright
Copyright © Cambridge University Press 2010

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References

REFERENCES

Baines, P. G. & Fang, X. H. 1985 Internal tide generation at continental shelf/slope junction: a comparison between theory and laboratory experiment. Dyn. Atmos. Oceans 9, 291314.Google Scholar
Balmforth, N. J., Ierley, G. R. & Young, W. R. 2002 Tidal conversion by subcritical topography. J. Phys. Oceanogr. 32, 29002914.Google Scholar
Bell, T. H. 1975 Topographically generated internal waves in the open ocean. J. Geophys. Res. 80, 320327.Google Scholar
Garrett, C. & Kunze, E. 2007 Internal tide generation in the deep ocean. Annu. Rev. Fluid Mech. 39, 5787.Google Scholar
Gayen, B. & Sarkar, S. 2010 Turbulence during the generation of internal tides on a critical slope. Phys. Rev. Lett. 104, 218502.Google Scholar
Gostiaux, L. & Dauxois, T. 2007 Laboratory experiments on the generation of internal tidal beams over steep slopes. Phys. Fluids 19, 028102.Google Scholar
Guo, Y. & Davies, P. A. 2003 Laboratory modelling experiments on the flow generated by the tidal motion of a stratified ocean over a continental shelf. Cont. Shelf Res. 23, 193212.Google Scholar
Holloway, P. E. 2001 A regional model of the semidiurnal internal tide on the Australian North West Shelf. J. Geophys. Res. 106, 1962519638.Google Scholar
Holloway, P. E., Chatwin, P. G. & Craig, P. 2001 Internal tide observations from the Australian North West Shelf in summer 1995. J. Phys. Oceanogr. 31, 11821199.2.0.CO;2>CrossRefGoogle Scholar
Kundu, P. K. 1990 Fluid Mechanics. Academic Press.Google Scholar
Legg, S. & Huijts, K. M. H. 2006 Preliminary simulations of internal waves and mixing generated by finite amplitude tidal flow over isolated topography. Deep Sea Res. 53, 140156.CrossRefGoogle Scholar
Legg, S. & Klymak, J. 2008 Internal hydraulic jumps and overturning generated by tidal flow over a tall steep ridge. J. Phys. Oceanogr. 38, 19491964.Google Scholar
Lien, R. C. & Gregg, M. C. 2001 Observations of turbulence in a tidal beam and across a coastal ridge. J. Geophys. Res. (Atmos.) 106, 45754591.Google Scholar
Lim, K., Ivey, G. N. & Nokes, R. I. 2008 The generation of internal waves by tidal flow over continental shelf/slope topography. Environ. Fluid Mech. 8, 511526.Google Scholar
Lueck, R. G. & Mudge, T. D. 1997 Topographically induced mixing around a shallow seamount. Science 276, 18311833.CrossRefGoogle Scholar
Mercier, M. J., Martinand, D., Mathur, M., Gostiaux, L., Peacock, T. & Dauxois, T. 2010 New wave generation. J. Fluid Mech. 657, 308334.CrossRefGoogle Scholar
Munk, W. & Wunsch, C. 1998 Abyssal recipes. Part II. Energetics of tidal and wind mixing. Deep-Sea Res. 45, 19772010.Google Scholar
Nokes, R. I. 2007 Fluidstream Version 7.01: System Theory and Design. Department of Civil Engineering, University of Canterbury, Christchurch.Google Scholar
Peacock, T., Echeverri, P. & Balmforth, N. J. 2008 An experimental investigation of internal tide generation by two-dimensional topography. J. Phys. Oceanogr. 38, 235242.CrossRefGoogle Scholar
Toole, J. M., Schmitt, R. W., Polzin, K.L. & Kunze, E. 1997 Near-boundary mixing above the flanks of a mid-latitude seamount. J. Geophys. Res. Oceans 102, 947959.Google Scholar
Van Gastel, P., Ivey, G.N., Meuleners, M., Antenucci, J.P. & Fringer, O. B. 2009 Seasonal variability of the nonlinear internal wave climatology on the Australian North West Shelf. Cont. Shelf Res. 29, 13731383.Google Scholar
Venayagamoorthy, S. K. & Fringer, O. B. 2007 On the formation and propagation of nonlinear internal boluses across a shelf break. J. Fluid Mech. 577, 137159.Google Scholar
Warn-Varnas, A., Hawkins, J., Lamb, K.G., Piacsek, S., Chin-Bing, S., King, D. & Burgos, G. 2010 Solitary wave generation dynamics at Luzon Strait. Ocean Model. 31, 927.Google Scholar
Wunsch, C. & Ferrari, R. 2004 Vertical mixing, energy, and the general circulation of the oceans. Annu. Rev. Fluid Mech. 36, 281314.Google Scholar
Zhang, H. P., King, B. & Swinney, H. L. 2008 Resonant generation of internal waves on a model continental slope. Phys. Rev. Lett. 100, 244504.CrossRefGoogle Scholar