Skip to main content
Log in

Inclined internal tide waves at a narrow Mexican Pacific shelf

  • Published:
Ocean Dynamics Aims and scope Submit manuscript

Abstract

The dynamics of a semidiurnal internal tidal wave at a narrow Mexican Pacific shelf is discussed using the data of temperature obtained by an anchored instrument and data of field surveys. The internal tide on the shelf is dominated by an inclined wave, which propagates upward and onshore along a continental slope. Despite its reflection from the bottom and from the surface of the ocean, they remain inclined and totally destroyed over the course of one wavelength. Due to wave reflection from the inclined bottom, the horizontal and vertical wave number increase threefold when the wave goes into shallow waters. The wave undergoes nonlinear transformation and overturns forming several homogeneous temperature layers up to 20 m thick. The most intense disturbances of water layers are observed near the bottom, where the slope angle approaches its critical value. Because of nonlinear effects, the wave carries cool deep water out to the shallow depth and causes coastal upwelling. Intense solar warming together with vertical mixing results in a rapid rise of temperature in the 130-m water column that was observed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  • Baines PG (1982) On internal tide generation models. Deep sea research part A. Oceanogr Res Papers 29:307–338

    Article  Google Scholar 

  • Emery WJ, Thomson RE (1997) Data analysis methods in physical oceanography. Elsevier, Amsterdam

    Google Scholar 

  • Eriksen CC (1998) Waves, mixing, and transports over boundaries. In: Physical Processes in Lakes and Oceans. Coast Estuary Stud 54:417–440

  • Filonov AE (2000) Spatial structure of the temperature and salinity fields in the presence of internal waves on the continental shelf of the states of Jalisco and Colima (Mexico). Cienc Mar 26:1–21

    Google Scholar 

  • Filonov A, Konyaev K (2003) Nonlinear internal waves near Mexico’s Central Pacific coast. In: Velasco-Fuentes OU et al (eds) Nonlinear processes in geophysical fluid dynamics. Kluwer, The Netherlands, pp 257–274

    Chapter  Google Scholar 

  • Filonov A, Konyaev K (2006) Orbital motions and coherent structures in the internal tide on a steep shelf off the Pacific coast of Mexico. Geophys Res Lett 33:l14612. doi:10.1029/2006gl026712

    Article  Google Scholar 

  • Filonov A, Lavin M (2003) Internal tides in the Northern Gulf of California. J Geophys Res 108(C5):3151. doi:10.1029/2002JC001460

    Article  Google Scholar 

  • Filonov A, Novotryasov V (2005) Features of the nonlinear internal wave spectrum in the coastal zone. Geophys Res Lett L15602, doi: 10.1029/2005GL023046

  • Filonov A, Novotryasov V (2007) On a spectrum of nonlinear internal waves in the oceanic coastal zone. Nonlinear Processes Geophys 14:1–6

    Article  Google Scholar 

  • Filonov A, Trasviña A (2000) Internal waves on the continental shelf of the Gulf of Tehuantepec, Mexico. Estuar Coast Shelf Sci 50:531–548

    Article  Google Scholar 

  • Filonov AE, Monzon CO, Tereshchenko IE (1996a) On the conditions of internal wave generation along the west coast of Mexico. Cienc Mar 23:255–272

    Google Scholar 

  • Filonov AE, Monzon CO, Tereshchenko IE (1996b) A technique for fast conductivity–temperature–depth oceanographic surveys. Geofis Int 35:415–420

    Google Scholar 

  • Filonov AE, Tereshchenko IE, Monzon CO, Gonzáles-Ruelas ME, Godinez-Domínguez E (2000) Resultados de la variabilidad estacional de los campos de temperatura y salinidad cerca de la zona costera de los estados de Jalisco y Colima, México. Cienc Mar 26:303–321

    Google Scholar 

  • Garrett CP, MacCready D, Rhines P (1993) Boundary mixing and arrested Ekman layers: rotating stratified flow near a sloping boundary. Annu Rev Fluid Mech 25:291–323

    Article  Google Scholar 

  • Graig PD (1987) Solution for internal tide generation over coastal topography. J Mar Res 45:83–105

    Article  Google Scholar 

  • Holligan PM, Pingree RD, Mardell GT (1985) Oceanic solitons nutrient pulses and phytoplankton growth. Nature 314:348–350

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Huthnance JM (1989) Internal tides and waves near the continental shelf edge. Geophys Astrophys Fluid Dyn 36:81–106

    Article  Google Scholar 

  • Jonson JA, Nurser AJG (1983) A model of secondary upwelling over the shelf break. Geophys Astrophys Fluid Dyn 23:301–320

    Article  Google Scholar 

  • Kistovich YuV, Chashechkin YuD (2001) Material transfer and force effect of two-dimension periodic internal wave beam. J Appl Math Mech 65:244–250

    Article  Google Scholar 

  • Konyaev KV (2000) Internal tide at the critical latitude. Izv Atmos Ocean Phys 36:396–408

    Google Scholar 

  • Konyaev K, Filonov A (2002) Internal tide along the Pacific coast of Mexico. Izv Atmos Ocean Phys 38:226–234

    Google Scholar 

  • Konyaev KV, Sabinin KD (1992) Waves inside the Ocean. Gidrometeoizdat, St. Peterburg, p 272

    Google Scholar 

  • Lien RC, Gregg MC (2001) Observations of turbulence in a tidal beam and across a coastal ridge. J Geophys Res 106:4575–4591

    Article  Google Scholar 

  • Maze R, Le Tareau JY (1990) Interaction between internal tides and energetic fluxes across the atmosphere-ocean interface over a continental shelf break. J Mar Res 48:505–541

    Google Scholar 

  • Miropol’sky YuZ (2001) Dynamics of internal gravity waves in the ocean. Kluwer, The Netherlands

    Google Scholar 

  • New AL (1988) Internal tidal mixing in the Bay of Biscay. Deep-Sea Res 35:691–709

    Article  Google Scholar 

  • New AL, Pingree RD (1990) Large-amplitude internal soliton packets in the central Bay of Biscay. Deep-Sea Res 37:513–524

    Article  Google Scholar 

  • Pingree RD, New AL (1991) Abyssal penetration and bottom reflection of internal tidal energy in the Bay of Biscay. J Phys Oceanogr 21:28–39

    Article  Google Scholar 

  • Pingree RD, New AL (1995) Structure, seasonal development and sunglint spatial coherence of the internal tide on the Celtic and Armorican shelves and in the Bay of Biscay. Deep-Sea Res 42:245–284

    Article  Google Scholar 

  • Pingree RD, Mardell GT, New AL (1986) Propagation of internal tides from the upper slopes of the Bay of Biscay. Nature 321:154–158

    Article  Google Scholar 

  • Sandstrom H, Oakey NS (1995) Dissipation in internal tides and solitary waves. J Phys Oceanogr 25:604–614

    Article  Google Scholar 

  • Serpette A, Maze R (1989) Internal tides in the Bay of Biscay: a two-dimensional model. Cont Shelf Res 9:95–821

    Article  Google Scholar 

  • Sherwin TJ (1988) Analysis of an internal tide observed in the Malin shelf, north of Ireland. J Phys Oceanogr 18:1035–1050

    Article  Google Scholar 

  • Thorpe SA (1998) Some dynamical effects of internal waves and the sloping sides of lakes. In: Physical processes in Lakes and Oceans. Coast Estuar Stud 54:441–460

Download references

Acknowledgments

This work was supported by the Mexican National Council for Science and Technology (CONACYT), grant No. 35553-T. The author thanks the two anonymous reviewers for their comments and suggestions that allowed us to significantly improve the paper. The author also thanks Xenia Frenkel and Jocelyn Serrano-Barragan for their help in translating and editing this manuscript. The author also expresses deep gratitude to Prof. Konstantin †Konyaev for his help in discussions of this work.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Anatoliy Filonov.

Additional information

Responsible Editor: Richard Signell

Rights and permissions

Reprints and permissions

About this article

Cite this article

Filonov, A. Inclined internal tide waves at a narrow Mexican Pacific shelf. Ocean Dynamics 61, 917–931 (2011). https://doi.org/10.1007/s10236-011-0409-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10236-011-0409-4

Keywords

Navigation