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8. Mixing by Internal Tides, Internal Waves and Solitons

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Colosi, J., R.C, Beardsley, J.F. Lynch, G. Gawarkiewicz, C.-S. Chiu, and A. Scotti, 2001. Observations of Internal Waves on the outer New England Continental shelf during the summer Shelfbreak PRIMER study. Journal of Geophysical Research, 106, 9587-9601.

Cummins, P. F., D. Masson, and M.G.G. Foreman, 2000. Stratification and mean flow effects on diurnal tidal currents off Vancouver Island. Journal of Physical Oceanography, 30, 15-30.

Cummins, P. F. and L.-Ya. Oey, 1997. Simulation of barotropic and baroclinic tides off northern British Columbia. Journal of Physical Oceanography, 27, 762-781.

Daifuku, P. R., and R. C. Beardsley, 1983. The K1 tide on the continental shelf from Nova Scotia to Cape Hatteras. Journal of Physical Oceanography, 13, 3-17.

Dale, A.C., D.S. Ullman, J.A. Barth and D.Herbert, 2003. The front on the northern flank of Georges Bank in spring: 1. Tidal and subtidal variability.  Journal of Geophysical Research-Oceans 108 (C11), 8009.

Dias, J., 2006. Internal tide spatial variability off western Portugal detected by current meter observations. Geophysical Research Letters, 33, L06613.

Dmitrenko, I. A., J. Hölemann, S. A. Kirillov, S. L. Berezovskaya, H. Eicken, D. A. Ivanova and H.Kassens, 2002. Transformation of baroclinic tidal internal waves under the influence of ice cover on the Laptev Sea shelf. Transactions (Doklady) of the Russia Academy of Sciences/Earth Science Section, 385, 609-613.

Duda, T.F., J.F. Lynch, J.D. Irish, R.C. Beardsley, S.R. Ramp, C.S. Chiu, T.Y. Tang and Y.J. Yang, 2004. Internal tide and nonlinear internal wave behavior at the continental slope in the northern South China Sea. IEEE Journal of Oceanic Engineering, 29, 1105-1130.

Ericksen, C.C., 1998. Internal wave reflection and mixing at Fieberling Guyot. Jounal of Geophysical Research, 103, 2977-2994.

Fang, W.D., P. Shi, X.M. Long and Q.W. Mao, 2005. Internal solitons in the northern South China Sea from in situ observations. Chinese Science Bulletin, 50, 1627-1631.

Foreman, M.G.G., G. Sutherland and P.F. Cummins, 2004. M2 tidal dissipation around Vancouver Island: an inverse approach. Continental Shelf Research, 24, 2167-2185.

Garrett, C., 2003. Internal Tides and Ocean Mixing.  Science 301,1858-1859.

Garrett, C. and E. Kunze, 2007. Internal tide generation in the Deep Ocean. Annual Review of Fluid Mechanics, 39, 57-87.

Garrett, C. and D. Gilbert, 1988. Estimates of vertical mixing by internal waves reflected off sloping topography. In: Small-Scale Turbulence and Mixing in the Ocean, J.C.J. Nihoul and B.M. Janard, editors, Elsevier Science, New York.

Gerkama, T., 1996. A unified model for the generation and fission of internal tides in a rotating ocean. Journal of Marine Research 54, 421-450.

Gerkema, T., F.-P.A.Lam and L.R.M. Maas, 2004. Internal tides in the Bay of Biscay: conversion rates and seasonal effects. Deep-Sea Research II, 51, 2995-3008.

Giese, G.S., D.C. Chapman, M.G. Collins, R. Encarnacion and G. Jacinto, 1998. The coupling between harbor seiches at Palawan Island and Sulu Sea internal solitons. Journal of Physical Oceanography, 28, 2418-2426.

Griffin, D. A. and P. H. Leblond, 1990. Estuary/ocean exchange controlled by spring-neap tidal mixing. Estuarine, Coastal and Shelf Science, 30, 275-297.

Griffin, D. A. and J. H. Middleton, 1992. Upwelling and internal tides over the inner New South Wales continental-shelf. Journal of Geophysical Research, 97, 14389-14405.

Ha, S.-J. and G. E. Swaters, 2006. Finite-amplitude baroclinic instability of time-varying abyssal currents. Journal of Physical Oceanography, 36, 122-139.

Heathershaw, A.D., A.L.New and P.D. Edwards, 1987. Internal tides and sediment transport at the shelf break in the Celtic Sea.  Continental Shelf Research 7, 485-517.

Helfrich, K.R. and W.K. Melville, 2006. Long nonlinear internal waves. Annual Review of Fluid Mechanics, 38, 395-425.

Henderschott, M. C., 1981. Long waves and ocean tides. In: Evolution of Physical Oceanography, Scientific Surveys in Honor of Henry Stommel, B.A. Warren and C.I. Wunsch, editors, the MIT Press, Cambridge, Massachusetts; 292-341.

Holligan, P.M., R.D. Pingree and G.T.Mardell, 1985. Oceanic solitons, nutrient pulses and phytoplankton growth.  Nature 314, 348-350.

Holloway, P.E., 1987. Internal hydraulic jump and solitons at a shelf break region on the Australian north west shelf. Journal of Geophysical Research, 92, 5405-5416.

Holloway, P. E., 1999. Modeling internal tide generation and evolution into internal solitary waves on the Australian North West Shelf. In: Dynamics of oceanic Internal Gravity Waves II, Proceedings "Aha Huliko'a Hawaiian Winter Workshop", University of Hawaii at Manoa.

Holloway, P. E., 2001. A regional model of the semidiurnal internal tide on the Australian North West Shelf. Journal of Geophysical Research, 106, 19625-19638.

Holloway, P. E. and B. Barnes, 1998. A numerical investigation into the bottom boundary layer flow and vertical structure of internal waves on a continental slope. Continental Shelf Research, 18, 31-65.

Holloway, P.E., P.G. Chatwin and P. Craig, 2001. Internal tide observations from the Australian north west shelf in summer 1995. Journal of Physical Oceanography, 31, 1182-1199.

Holloway, P. E. and M. A. Merrifield, 1999. Internal tide generation by seamounts, ridges, and islands. Journal of Geophysical Research, 104, 25937-25951.

Holloway, P. E. and M. A. Merrifield, 2003. On the spring-neap variability and age of the internal tide at the Hawaiian Ridge. Journal of Geophysical Research-Oceans, 108, 9.

Holloway, P., E. Pelinovsky and T. Talipova, 2001. Internal tide transformation and oceanic internal solitary waves. In: Environmental Stratified Flows, Kluwer, Boston, Chapter 2, 29-60.

Inall, M.E., T.P. Rippeth and T.J. Sherwin, 2000. Impact of nonlinear waves on the dissipation of internal tidal energy at a shelf break. Journal of Geophysical Research, 105, 8687-8706.

Inall, M.E., G.I.Shapiro and T.J. Sherwin, 2001. Mass transport by non-linear internal waves on the Malin Shelf. Continental Shelf Research 21, 1449-1472.

Jayne, S.R., and L.C. St.Laurent, 2001. Parameterizing tidal dissipation over rough topography. Geophysical Research Letters. 28, 811-814.

Johnston, T. M. S., M. A. Merrifield and P. E. Holloway, 2003 . Internal tide scattering at the Line Islands ridge. Journal of Geophysical Research-Oceans, 108, 15.

Kawamura, Y. and Y. Kitade, 2007. Effects of scattering and resonance on energy dissipation of an internal tide in a narrow shelf. Journal of Oceanography, 63, 15-25.

Klymak, J. M. and M.C. Gregg, 2004. Tidally generated turbulence over the Knight Inlet sill. Journal of Physical Oceanography, 34, 1135-1151.

Kulikov, E.A., A.B. Ravinovich, and E.K. Karmack, 2004. Barotropic and baroclinic tidal currents on the Mackenzie shelf break in the southeastern Beaufort Sea. Journal of Geophysical Research-Oceans, 109 (C5), C05020.

Lamb, K., 1997. Particle transport by nonbreaking, solitary internal waves. Journal of Geophysical Research 102, 18641-18660.

Lamb, K. G., 2002. A numerical investigation of solitary internal waves with trapped cores formed via shoaling. Journal of Fluid Mechanics, 451, 109-144.

Ledwell, J.R., E.T. Montgomery, K.L. Polzin, L.C. St Laurent, R.W. Schmitt, and J.M. Toole, 2000. Evidence for enhanced mixing over rough topography in the abyssal ocean. Nature, 403, 179-182.

Lee, J.H., I. Lozovatsky, S.T.Jang, C.J. Jang, C.S. Hong and H.J.S. Fernando, 2006. Episodes of nonlinear internal waves in the northern East China Sea. Geophysical Research Letters, 33, L18601.

Lerczak, J.A., M.C. Hendershott and C.D. Winant, 2001. Observations and modeling of coastal internal waves driven by a diurnal sea breeze. Journal of Geophysical Research, 106, 19715-19729.

Liu, A.K., H.S. Chang, M.K. Hsu and N.K. Liang, 1998. Evolution of nonlinear internal waves in the East and South China Seas. Journal of Geophysical Research, 103, 7995-8008.

Liu, A.K., and M.K. Hsu, 2004. Internal wave study in the South China Sea using Synthetic Aperture Radar (SAR). International Journal of Remote Sensing, 25, 1261-1264.

Liu, A.K. S.R. Ramp, Y.H. Zhao, T.Y. Tang, 2004. A case study of internal solitary wave propagation during ASIAEX 2001. IEEE Journal of Oceanic Engineering, 29, 1144-1156.

Loder, J. W., 1980. Topographic rectification of tidal currents on the sides of Georges Bank. Journal of Physical Oceanography, 10, 1399-1416.

Merrifield, M. A. and P. E. Holloway, 2002. Model estimates of M-2 internal tide energetics at the Hawaiian Ridge. Journal of Geophysical Research-Oceans, 107 (C8), 3179.

Merrifield, M. A., P. E. Holloway and T. M. S. Johnston, 2001. The generation of internal tides at the Hawaiian Ridge. Geophysical Research Letters, 28, 559-562.

Monteiro, P.M.S., G. Nelson, A. van der Plas, E. Mabille, G.W. Bailey and E. Klingelhoeffer, 2005. Internal tide - shelf topography interactions as a potential forcing factor governing the large scale sedimentation and burial fluxes of particulate organic matter (POM) in the Benguela upwelling system. Continental Shelf Research, 25, 1864-1876.

Nakamura, T., T. Awaji, T. Hatayama, K. Akitomo, T.Takizawa, T. Kono, Y. Kawasaki and M. Fukasawa, 2000. The generation of large-amplitude unsteady lee waves by subinertial K-1 tidal flow: A possible vertical mixing mechanism in the Kuril Straits. Journal of Physical Oceanography, 30, 1601- 1621.

Nakamura, T., T. Toyoda, Y.Ishikawa and T. Awaji, 2004. Tidal mixing in the Kuril Straits and its impact on ventilation in the North Pacific Ocean. Journal of Oceanography, 60, 411-423.

Nakamura, T., T. Toyoda, Y. Ishikawa and T. Awaji, 2006. Enhanced ventilation in the Okhotsk Sea through tidal mixing at the Kuril Straits. Deep-Sea Research I, 53, 425-448.

Nakamura, T., T. Toyoda, Y. Ishikawa and T. Awaji, 2006. Effects of tidal mixing at the Kuril Straits on North Pacific ventilation: Adjustment of the intermediate layer revealed from numerical experiments. Journal of Geophysical Research-Oceans, 111(C4), C04003.

Navrotsky, V. V., V.L. Izergin and E.P. Pavlova, 2003. Generation of internal waves near the shelf boundary. Doklady Earth Sciences, 389, 84-88.

Navrotsky V.V., I.D. Lozovatsky, E.P. Pavlova and H.J.S. Fernando, 2004. Observations of internal waves and thermocline splitting near a shelf break of the Sea of Japan (East Sea). Continental Shelf Research, 24, 1375–1395.

New, A.L., 1998. Internal tidal mixing in the Bay of Biscay. Deep-Sea Research A, 35, 691-709.

New, A.L. and R.D. Pingree, 1990. Evidence for internal tidal mixing near the shelf break in the Bay of Biscay. Deep-Sea Research A, 37, 1783-1803.

Niwa, Y. and T. Hibiya, 2004. Three-dimensional numerical simulation of M-2 internal tides in the East China Sea. Journal of Geophysical Research-Oceans, 109(C4), C04027.

Novotryasov V. V. and N.S. Vanin, 2002. Low-frequency internal waves in the near-shore zone of the Japan Sea. Izvestiya, Atmospheric and Oceanic Physics, 38, 495-502.

Novotryasov V. V., N.S. Vanin and A.A. Karnaukhov, 2005. Manifestation of nonlinear properties of Kelvin internal waves in the coastal zone of the Sea of Japan. Izvestiya, Atmospheric and Oceanic Physics, 41, 611-619.

Orr, M.H., and P.C. Mignerey, 2003. Nonlinear internal waves in the South China Sea: Observation of the conversion of depression internal waves to elevation internal waves. Journal of Geophysical Research-Oceans, 108(C3), 3064,

Park, J.H., M. Andres, P.J. Martin, M. Wimbush and D. Watts, 2006. Second-mode internal tides in the East China Sea deduced from historical hydrocasts and a model. Geophysical Research Letter, 33, L05602.

Pingree, R.D., D.K. Griffiths and G.T.Mardell, 1984. The structure of the internal tide at the Celtic Sea shelf break. Journal of the Marine Biological Association of the UK 64, 99-113.

Pingree, R.D., and G.T. Mardell, 1981. Slope turbulence, internal waves and phytoplankton growth at the Celtic Sea shelf-break. Phil. Trans. R. Soc. Lond. A302, 663–682.

Pingree, R.D. and G.T. Mardell, 1985. Solitary internal waves in the Celtic Sea. Progress in Oceanography 14, 431-441.

Puig, P., A. Palanques, J. Guillén and M. El Khatab, 2004. Role of internal waves in the generation of nepheloid layers on the northwestern Alboran slope: Implications for continental margin shaping. Journal of Geophysical Research-Oceans, 109 (C11), C03019.

Rainville, L. and R. Pinkel, 2004. Observations of energetic high-wavenumber internal waves in the Kuroshio. Journal of Physical Oceanography, 34, 1495-1505.

Ramp, S.R., T.Y. Tang, T.F. Duda, J.F. Lynch, A.K. Liu, C.S. Chiu, F.L. Bahr, H.R. Kim and Y.J.Yang, 2004. Internal solitons in the northeastern South China Sea - Part I: Sources and deep water propagation. IEEE Journal of Oceanic Engineering, 29, 1157-1181.

Ribbe, J. and P. E. Holloway, 2001. A model of suspended sediment transport by internal tides. Continental Shelf Research, 21, 395-422.

Rippeth, T.P. and M.E. Inall, 2002. Observations of the internal tide and associated mixing across the Malin shelf.  Journal of Geophysical Research-Oceans, 107 (C4), 3028.

Rudnick, D. L., 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 and T. B. Sanford, 2003. From tides to mixing along the Hawaiian ridge. Science, 301, 355-357.

St. Laurent, L. and C. Garrett, 2002. The role of internal tides in mixing the deep ocean. Journal of Physical Oceanography, 32, 2882-2899.

Sandstrom, H., and J. A. Elliott, 1984. Internal tides and solitons on the Scotian shelf: a nutrient pump at work. Journal of Geophysical Research, 89, 6415-6426.

Scotti, A. and J. Pineda, 2004. Observation of very large and steep internal waves of elevation near the Massachusetts coast. Geophysical Research Letters, 31, L22307.

Sharples, J., C.M. Moore and E.R. Abraham, 2001. Internal tide dissipation, mixing, and vertical nitrate flux at the shelf edge of NE New Zealand. Journal of Geophysical Research 106, 14,069-14,081.

Sharples, J., J.F. Tweddle, J.A.M. Green, M.R. Palmer, Y.-N. Kim,A.E. Hickman, P.M. Hollogan, C.M. Moore, T.P. Rippeth, J.H. Simpson and V. Krivtsov, 2007. Spring-neap modulation of internal tide mixing and vertical nitrate fluxes at a shelf edge in summer. Limnology & Oceanography, 52,1735-1747.

Shearman, R.K. and S.J. Lentz, 2004. Observations of tidal variability on the New England shelf. Journal of Geophysical Research-Oceans, 109 (C6), C06010.

Sherwin, T.J., V.I. Vlasenko, N. Stashchuk, D.R.G. Jeans and B. Jones, 2002. Along-slope generation as an explanation for some unusually large internal tides. Deep-Sea Research I, 49, 1787-1799.

Simmons, H.L., R.W. Hallberg and B.K. Arbic, 2004. Internal wave generation in a global baroclinic tidal model. Deep-Sea Research II, 51, 3043-3068.

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Zhao, Z.X., V. Klemas, Q.N. Zheng and X.H. Yan, 2004. Remote sensing evidence for baroclinic tide origin of internal solitary waves in the northeastern South China Sea. Geophysical Research Letters, 31,L06302,

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