Abstract
Experiments were performed to investigate the generation of internal waves induced by a barotropic tidal flow over continental shelf/slope topography in a two-layer stratified fluid. The interaction of the barotropic tide with the continental slope resulted in the formation of both linear and nonlinear waveforms, ranging from a linear wave of depression to a highly nonlinear internal bolus. The type of wave response was strongly dependent on the tidal forcing intensity and the position of the density interface relative to the shelf depth. Based on the values of the internal Froude number and the layer depth ratio, we delineate four distinct generation regimes, each with a distinct wave response.
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References
Baines PG, Fang XH (1985) Internal tide generation at a continental shelf/slope junction: a comparison between theory and a laboratory experiment. Dyn Atmos Oceans 9: 297–314. doi:10.1016/0377-0265(85)90025-9
Carter GS, Gregg MC, Lien RC (2005) Internal waves, solitary-like waves, and mixing on the Monterey Bay shelf. Cont Shelf Res 25: 1499–1520. doi:10.1016/j.csr.2005.04.011
Cenedese C, Dalziel S (1998) Concentration and depth fields determined by the light transmitted through a dyed solution. Paper presented at proceedings 8th international symposium on flow visualisation (ISFV ’98), Sorento, Italy, June
Cummins PF, Cherniawski JY, Foreman MGG (2001) North Pacific internal tides from the Aleutian Ridge: altimeter observations and modelling. J Mar Res 59: 167–191. doi:10.1357/002224001762882628
Farmer DM, Armi L (1999) The generation and trapping of solitary waves over topography. Science 283: 188–190. doi:10.1126/science.283.5399.188
Holloway PE (1987) Internal hydraulic jumps and solitons at a shelf break region on the Australian North West Shelf. J Geophys Res 92: 5405–5416. doi:10.1029/JC092iC05p05405
Holloway PE (1994) Observations of internal tide propagation on the Australian North West Shelf. J Phys Oceanogr 24: 1706–1716. doi: 10.1175/1520-0485(1994)024<1706:OOITPO>2.0.CO;2
Holloway PE (2001) A regional model of the semidiurnal internal tide on the Australian North West Shelf. J Geophys Res 106: 19625–19638. doi:10.1029/2000JC000675
Holloway PE, Merrifield MA (1999) Internal tide generation by seamounts, ridges and islands. J Geophys Res 104: 25937–25951. doi:10.1029/1999JC900207
Holloway PE, Pelinovsky E, Talipova T, Barnes B (1997) A nonlinear model of internal tide transformation on the Australian North West Shelf. J Phys Oceanogr 27: 871–896
Horn DA, Imberger J, Ivey GN (2001) The degeneration of large-scale interfacial gravity waves in lakes. J Fluid Mech 434: 181–207. doi:10.1017/S0022112001003536
Kikkert GA (2006) Buoyant jets with two and three-dimensional trajectories. PhD thesis, University of Canterbury, Christchurch, New Zealand
Lansing FS, Maxworthy T (1984) On the generation and evolution of internal gravity waves. J Fluid Mech 145: 127–149. doi:10.1017/S0022112084002846
Lim K, Ivey GN, Jones NL (2008) An experimental study on the tidal generation of internal waves over continental slope. J Fluid Mech (in preparation)
Lueck RG, Mudge TD (1997) Topographically induced mixing around a shallow seamount. Science 276: 1831–1833. doi:10.1126/science.276.5320.1831
Maxworthy T (1979) A note on the internal solitary waves produced by tidal flow over a three-dimensional ridge. J Geophys Res 84: 338–346. doi:10.1029/JC084iC01p00338
Merrifield MA, Holloway G, Johnston TMS (2001) The generation of internal tides at the Hawaiian Ridge. Geophys Res Lett 28: 559–562. doi:10.1029/2000GL011749
Munk W, Wunsch C (1998) Abyssal recipes II: energetics of tidal and wind mixing. Deep-Sea Res 45: 1976–2009
New AL, Pingree RD (1992) Local generation of internal soliton packets in the central Bay of Biscay. Deep-Sea Res 39: 1521–1534. doi:10.1016/0198-0149(92)90045-U
Nokes RI (2005) Imagestream version 5.01: system theory and design. Department of Civil and Natural Resources Engineering, University of Canterbury, Christchurch
Nokes RI (2007) Fluidstream version 7.01: system Theory and design. Department of Civil and Natural Resources Engineering, University of Canterbury, Christchurch
Ramirez C, Renouard D (1998) Generation of internal waves over a shelf. Dyn Atmos Oceans 28: 107–125. doi:10.1016/S0377-0265(98)00048-7
Ray RD, Mitchum GT (1997) Surface manifestation of internal tides in the deep ocean: observations from altimetry and island gauges. Prog Oceanogr 40: 135–162. doi:10.1016/S0079-6611(97)00025-6
Toole JM, Schmitt RW, Polzin KL (1997) Near-boundary mixing above the flanks of a midlatitude seamount. J Geophys Res 102: 947–959. doi:10.1029/96JC03160
Van Gastel P, Ivey GN, Meuleners M, Antenucci JP, Fringer OB (2008) Seasonal variability of the nonlinear internal wave climatology on the Australian North West Shelf. Cont Shelf Res (submitted)
Venayagamoorthy SK, Fringer OB (2007) On the formation and propagation of nonlinear internal boluses across a shelf break. J Fluid Mech 577: 137–159. doi:10.1017/S0022112007004624
Vlasenko V, Staschuk N, Hutter K (2005) Baroclinic tides: theoretical modeling and observational evidence. Cambridge University Press, New York
Wunsch C, Ferrari R (2004) Vertical mixing, energy, and the general circulation of the oceans. Annu Rev Fluid Mech 36: 281–314. doi:10.1146/annurev.fluid.36.050802.122121
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Lim, K., Ivey, G.N. & Nokes, R.I. The generation of internal waves by tidal flow over continental shelf/slope topography. Environ Fluid Mech 8, 511–526 (2008). https://doi.org/10.1007/s10652-008-9085-4
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DOI: https://doi.org/10.1007/s10652-008-9085-4