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Chapter 5 - Tidal dynamics

Published online by Cambridge University Press:  05 May 2014

David Pugh
Affiliation:
National Oceanography Centre, Liverpool
Philip Woodworth
Affiliation:
National Oceanography Centre, Liverpool
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Summary

Who can say of a particular sea that it is old? Distilled by the sun, kneaded by the moon, it is renewed in a year, in a day, or in an hour.

Thomas Hardy, The Return of the Native

The real world

The Equilibrium Tide developed from Newton’s theory of gravitation consists of two symmetrical tidal bulges, directly under and directly opposite the Moon or Sun. Semidiurnal tidal ranges would reach their maximum value of about 0.5 m at the equator. The individual high water bulges would track around the Earth, moving from east to west in steady progression. These characteristics are clearly not those of the observed tides.

The observed tides in the main oceans have mean ranges of about 0–1 m (amplitudes 0–0.5 m), but there are considerable variations. The times of tidal high water vary in a geographical pattern, for the daily solar and semidiurnal lunar tides, which bears no relationship to the simple ideas of a double bulge. The different tidal patterns generated by the global and local ocean responses to the tidal forcing are clear in Figure 5.1. The tides spread from the oceans onto the surrounding continental shelves, where much larger ranges are observed. In some shelf seas the spring tidal ranges may exceed 10 m: the Bay of Fundy, the Bristol Channel, the Baie de Mont Saint Michel and the Argentine Shelf are well-known examples of big tides. In the case of the northwest European shelf, tides approach from the Atlantic Ocean in a progression to the north and to the east, which is quite different from the Equilibrium hypothesis.

Type
Chapter
Information
Sea-Level Science
Understanding Tides, Surges, Tsunamis and Mean Sea-Level Changes
, pp. 97 - 132
Publisher: Cambridge University Press
Print publication year: 2014

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References

Defant, A. 1961. Physical Oceanography:Volume II. Oxford: Pergamon Press.Google Scholar
Jones, C. W. 1943. Bedae Opera de Temporibus. Cambridge, MA: The Medieval Academy of America.Google Scholar
Lamb, H. 1932. Hydrodynamics (6th edition). Cambridge: Cambridge University Press.Google Scholar
Proudman, J. 1953. Dynamical Oceanography. London: Methuen and Co.Google Scholar
Gill, A. E. 1982. Atmosphere–Ocean Dynamics. London: Academic Press.Google Scholar
Taylor, G. I. 1922. Tidal oscillations in gulfs and rectangular basins. Proceedings of the London Mathematical Society, S20, 148–181, .CrossRefGoogle Scholar
Pugh, D. T. 1981. Tidal amphidrome movement and energy dissipation in the Irish Sea. Geophysical Journal of the Royal Astronomical Society, 67, 515–527, .CrossRefGoogle Scholar
Cartwright, D. E. 1999. Tides: A Scientific History. Cambridge: Cambridge University Press.Google Scholar
Miles, J. W. 1974. On Laplace’s tidal equations. Journal of Fluid Mechanics, 66, 241–260. .CrossRefGoogle Scholar
Harris, R. A. 1897–1907. Manual of Tides: Appendices to Reports of the U.S. Coast and Geodetic Survey. Washington, D.C.: Government Printing Office.Google Scholar
Whewell, W. 1836. On the results of an extensive system of tide observations made on the coasts of Europe and America in June 1835. Philosophical Transactions of the Royal Society of London, 126, 289–341, .CrossRefGoogle Scholar
Egbert, G. D. and Ray, R. D. 2003. Deviation of long-period tides from equilibrium: kinematics and geostrophy. Journal of Physical Oceanography, 33, 822–839, .2.0.CO;2>CrossRefGoogle Scholar
Woodworth, P. L. 2012. A note on the nodal tide in sea level records. Journal of Coastal Research, 28, 316–323, .CrossRefGoogle Scholar
Tsimplis, M. N., Proctor, R. and Flather, R. A. 1995. A two-dimensional tidal model for the Mediterranean Sea. Journal of Geophysical Research, 100, 16223–16239, .CrossRefGoogle Scholar
Tsimplis, M. N. 1997. Tides and sea level variability at the strait of Euripus. Estuarine Coastal and Shelf Science, 44, 91–101, .CrossRefGoogle Scholar
Padman, L. and Erofeeva, S. 2004. A barotropic inverse tidal model for the Arctic Ocean. Geophysical Research Letters, 31, L02303, .CrossRefGoogle Scholar
Sverdrup, H. U. 1927. Dynamic of tides on the north Siberian shelf: results from the Maud expedition. Geofysiske Publikasjoner, 4(5).Google Scholar
Killett, B., Wahr, J., Desai, S., Yuan, D. and Watkins, M. 2011. Arctic Ocean tides from GRACE satellite accelerations. Journal of Geophysical Research, 116, C11005, .CrossRefGoogle Scholar
Bye, J. A. T. and Heath, R. A. 1975. The New Zealand semi-diurnal tide. Journal of Marine Research, 33, 423–442.Google Scholar
Munk, W., Snodgrass, F. and Wimbush, M. 1970. Tides off-shore: transition from California coast to deep-sea waters. Geophysical Fluid Dynamics, 1, 161–235.CrossRefGoogle Scholar
Cartwright, D. E. 1969. Extraordinary tidal currents near St. Kilda. Nature, 223, 928–932, .CrossRefGoogle Scholar
Flather, R. A. 1988. A numerical model investigation of tides and diurnal-period continental shelf waves along Vancouver Island. Journal of Physical Oceanography, 18, 115–139, .2.0.CO;2>CrossRefGoogle Scholar
Crawford, W. R. and Thomson, R. E. 1991. Physical oceanography of the western Canadian continental shelf. Continental Shelf Research, 11, 669–683, .CrossRefGoogle Scholar
Smith, P. C. 1989. Inertial oscillations near the coast of Nova Scotia during CASP. Atmosphere-Ocean, 27, 181–209, .CrossRefGoogle Scholar
Robinson, I. S. 1979. The tidal dynamics of the Irish and Celtic Seas. Geophysical Journal of the Royal Astronomical Society, 56, 159–197, .CrossRefGoogle Scholar
Robinson, I. S. 1979. The tidal dynamics of the Irish and Celtic Seas. Geophysical Journal of the Royal Astronomical Society, 56, 159–197, .CrossRefGoogle Scholar
Taylor, G. I. 1920. Tidal friction in the Irish Sea. Philosophical Transactions of the Royal Society of London, A, 220, 1–33, .CrossRefGoogle Scholar
Redfield, A. C. 1958. The influence of the continental shelf on the tides of the Atlantic coast of the United States. Journal of Marine Research, 17, 432–458.Google Scholar
Forrester, W. D. 1983. Canadian Tidal Manual. Ottawa: Department of Fisheries and Oceans Canada.Google Scholar
Pous, S., Carton, X. and Lazure, P. 2012. A process study of the tidal circulation in the Persian Gulf. Open Journal of Marine Science, 2, 131–140, .CrossRefGoogle Scholar
Ray, R. D., Egbert, G. D. and Erofeeva, S. Y. 2005. A brief overview of tides in the Indonesian Seas. Oceanography, 18, 74–79, .CrossRefGoogle Scholar
Glorioso, D. G. and Flather, R. A. 1997. The Patagonian Shelf tides. Progress in Oceanography, 40, 263–283, .CrossRefGoogle Scholar
Huthnance, J. M. 1980. On shelf-sea resonance with application to Brazilian M3 tides. Deep-Sea Research, 27A, 347–366, .CrossRefGoogle Scholar
Ray, Richard, Goddard Space Flight Center, personal communication.
O’Reilly, C. T., Solvason, R. and Solomon, C. 2005. Where are the world’s largest tides? In Bedford Institute of Oceanography 2004 in Review (ed. Ryan, >J.), pp. 44–46, Dartford, Nova Scotia: Bedford Institute of Oceanography.Google Scholar
Arbic, B. K., St.-Laurent, P., Sutherland, G. and Garrett, C. 2007. On the resonance and influence of the tides in Ungava Bay and Hudson Strait. Geophysical Research Letters, 34, L17606, .CrossRefGoogle Scholar
Ray, R. and Egbert, D. E. 2004. The global S1 tide. Journal of Physical Oceanography, 34, 1922–1935, .2.0.CO;2>CrossRefGoogle Scholar
Ray, R. D. and Ponte, R. M. 2003. Barometric tides from ECMWF operational analyses. Annales Geophysicae, 21, 1897–1910, .CrossRefGoogle Scholar
Chapman, S. and Lindzen, R. S. 1970. Atmospheric Tides, Thermal and Gravitational. Dordrecht: Reidel.Google Scholar
Arbic, B. K. 2005. Atmospheric forcing of the oceanic semidiurnal tide. Geophysical Research Letters, 32, L02610, .CrossRefGoogle Scholar
Godin, G. 1986. Is the abnormal response of the tide at the frequency of S2 really due to radiational effects?Continental Shelf Research, 6, 615–625, .CrossRefGoogle Scholar
Marone, E. 1996. “Radiational tides” as nonlinear effects: bispectral interpretation. Continental Shelf Research, 16, 1117–1126, .CrossRefGoogle Scholar
Ray, R. and Mitchum, G. T. 1996. Surface manifestation of internal tides generated near Hawaii. Geophysical Research Letters, 23, 2101–2104, .CrossRefGoogle Scholar
Laurent, L., Alford, M. H. and Paluszkiewicz, T. (eds.) 2012. An introduction to the special issue on internal waves. Oceanography, 25, 5–19, .CrossRef
Garrett, C. and Kunze, E. 2007. Internal tide generation in the deep ocean. Annual Review of Fluid Mechanics, 39, 57–87, .CrossRefGoogle Scholar
Arbic, B. K, Richman, J. G., Shriver, J. F. et al. 2012. Global modeling of internal tides within an eddying ocean general circulation model. Oceanography, 25, 20–29, .CrossRefGoogle Scholar
da Silva, J. C. B., New, A. L. and Magalhaes, J. M. 2011. On the structure and propagation of internal solitary waves generated at the Mascarene Plateau in the Indian Ocean. Deep-Sea Research, 58, 229–240, .CrossRefGoogle Scholar
Zhao, Z., Alford, M. H. and Girton, J. B. 2012. Mapping low-mode internal tides from multisatellite altimetry. Oceanography, 25, 42–51, .CrossRefGoogle Scholar
Colosi, J. A. and Munk, W. 2006. Tales of the venerable Honolulu tide gauge. Journal of Physical Oceanography, 36, 967–996, .CrossRefGoogle Scholar
Kelly, S. M. and Nash, J. D. 2010. Internal tide generation and destruction by shoaling internal tides. Geophysical Research Letters, 37, L23611, .CrossRefGoogle Scholar
Wijeratne, E. M. S., Woodworth, P. L. and Pugh, D. T. 2009. Meteorological and internal wave forcing of seiches along the Sri Lanka coast. Journal of Geophysical Research, 115, C03014, .Google Scholar
Rainville, L. and Pinkel, R. 2006. Propagation of low-mode internal waves through the ocean. Journal of Physical Oceanography, 36, 1220–1236, .CrossRefGoogle Scholar
Albrecht, N., Vennell, R., Williams, M. et al. 2006. Observation of sub-inertial internal tides in McMurdo Sound, Antarctica. Geophysical Research Letters, 33, 1–5, .CrossRefGoogle Scholar
Agnew, D. C. 2007. Earth tides. In Treatise on Geophysics: Geodesy (ed. Herring, T. A.), pp. 163–195, New York: Elsevier.CrossRefGoogle Scholar
Baker, T. F. 1984. Tidal deformations of the Earth. Science Progress, 69, 197–233.Google Scholar
Hendershott, M. C. 1972. The effects of solid Earth deformation on global ocean tides. Geophysical Journal of the Royal Astronomical Society, 29, 389–402, .CrossRefGoogle Scholar
Dehant, V., Defrainge, P. and Wahr, J. M. 1999. Tides for a convective Earth. Journal of Geophysical Research, 104, 1035–1058, .CrossRefGoogle Scholar
Baker, T. F. and Bos, M. S. 2003. Validating Earth and ocean tide models using tidal gravity measurements. Geophysical Journal International, 152, 468–485, .CrossRefGoogle Scholar
Benjamin, D., Wahr, J., Ray, R. D., Egbert, G. D. and Desai, S. D. 2006. Constraints on mantle anelasticity from geodetic observations, and implications for the J2 anomaly. Geophysical Journal International, 165, 3–16, .CrossRefGoogle Scholar
Farrell, W. E. 1972. Deformation of the Earth by surface loads. Reviews of Geophysics, 10, 3, .CrossRefGoogle Scholar
Sung-Ho, N. and Jeongho, B. 2011. Computation of the Load Love Number and the Load Green’s Function for an elastic and spherically symmetric Earth. Journal of the Korean Physical Society, 58, 1195–1205, .Google Scholar
Bos, M. S. and Scherneck, H.-G. 2013. Computation of Green’s functions for tidal loading. In Sciences of Geodesy: II, Innovations and Future Developments (ed. Xu, Guochang), Berlin, Heidelberg: Springer-Verlag, .Google Scholar
Pugh, D. T., Woodworth, P. L. and Bos, M. S. 2011. Lunar tides in Loch Ness, Scotland. Journal of Geophysical Research, 116, C11040, .CrossRefGoogle Scholar
Cartwright, D. E. 1971. Tides and waves in the vicinity of Saint Helena. Philosophical Transactions of the Royal Society, A, 270, 603–646, .CrossRefGoogle Scholar
Cartwright, D. E. 1972. Secular changes in the oceanic tides at Brest, 1711–1936. Geophysical Journal of the Royal Astronomical Society, 30, 433–449, .CrossRefGoogle Scholar
Godin, G. 1995. Rapid evolution of the tide in the Bay of Fundy. Continental Shelf Research, 15, 369–372, .CrossRefGoogle Scholar
Greenberg, D. A., Blanchard, W., Smith, B. and Barrow, E. 2012. Climate change, mean sea level and high tides in the Bay of Fundy. Atmosphere-Ocean, 50, 261–276, .CrossRefGoogle Scholar
Woodworth, P. L. 2010. A survey of recent changes in the main components of the ocean tide. Continental Shelf Research, 30, 1680–1691, .CrossRefGoogle Scholar
Forrester, W. D. 1983.Canadian Tidal Manual. Department of Fisheries and Oceans. Reproduced with the permission of the Canadian Hydrographic Service.
Fisheries and Oceans Canada 2008. Atlas of Tidal Currents, St. Lawrence Estuary. Reproduced with the permission of the Canadian Hydrographic Service.
Ray, R. D. and Ponte, R. M. 2003. Barometric tides from ECMWF operational analyses. Annales Geophysicae, 21, 1897–1910, . Images redrawn by Richard Ray.CrossRefGoogle Scholar

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