Combined Hydrodynamical and Empirical Modeling of Ocean Tides

  • Ernst W. Schwiderski
Chapter

Abstract

The paper presents a detailed analysis of the author’s hydrodynamical interpolation technique, which was developed and tested to compute a realistic eleven-mode ocean tide model in the real world oceans. Since ocean tidal currents are distinguished from other general ocean and atmospheric circulations by a massive number of available empirical tide data, advantage was taken of this unique opportunity to search systematically for realistic eddy-dissipation and bottom-friction laws. Those laws and their scale factors were determined in trial-and-error computer experiments to assure their proper representation of the real 1°-macroscopic nature of turbulent tidal currents. The quality of the representation was measured by the smoothness with which the hydrodynamically computed tidal field integrated thousands of empirical tide data uniformly over the world-wide oceans.

Keywords

Bottom Friction Earth Tide Tide Model Tidal Energy Tide Data 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

  1. Accad, Y. and Pekeris, C. L., 1978. “Solution of the Tidal Equations for the M2 and S9 Tides in the World Oceans from a Knowledge of the Tidal Potential Alone,” Phil. Trans. Roy. Soc., London, A, 290, p. 235.CrossRefGoogle Scholar
  2. Bogdanov, C. T. and Magarik, V. A., 1969. “A Numerical Solution of the Problem of Tidal Wave Propagation in the World Ocean.” Izv. Akad. Nauk SSSR Fiz. Atmos. Okeana, 5, p. 1309, in Russian.Google Scholar
  3. Cartwright, D. E., 1977. “Ocean Tides.” Rep. Prog. Phys., 40, p. 665.CrossRefGoogle Scholar
  4. Cartwright, D. E., Zetler, B. D., and Hamon, B. V., 1979. “Pelagic Tidal Constants,” IAPSO Publication Scientifique No. 30.Google Scholar
  5. Cartwright, D. E., Edden, A. C., Spencer, R., and Vassie, J. M., 1980. “The Tides of the Northern Atlantic Ocean.” Phil. Trans., Roy. Soc., London, 298, p. 87.CrossRefGoogle Scholar
  6. Estes, R. H., 1977. “A Computer Software System for the Generation of Global Ocean Tides Including Self–Gravitation and Crustal Loading Effects,” Goddard Space Flight Center, TR–X–920–77–82, Greenbelt, Maryland.Google Scholar
  7. Goad, C. C. and Douglas, B. C., 1978. “Lunar Tidal Acceleration Obtained from Satellite-Derived Ocean Tide Parameters.” J. Geophys. Res., 83, p. 2306.CrossRefGoogle Scholar
  8. Gordeyev, R. G., Kagan, B. A., and Polyakov, E., 1977. “The Effects of Loading and Self-Attraction on Global Ocean Tides, the Model and the Results of a Numerical Experiment.” J. Phys. Oceanogr. 7, p. 161.CrossRefGoogle Scholar
  9. Hansen, W., 1948. “Die Ermittlung der Gezeiten Beliebig Gestalteter Meeresgebiete mit Hilfe des Randwertverfahrens.” Deutsche Hydr. Zeit, 1, p. 157.Google Scholar
  10. Hansen, W., 1966. “Die Reproduktion der Bewegungsvorgänge im Meere mit Hilfe Hydrodynamisch-Numerischer Verfahren,” Mitteilungengen des Inst. f. Meereskunde der Univ. Hamburg, V.Google Scholar
  11. Hendershott, M. C., 1972. “The Effects of Solid-Earth Deformation on Global Ocean Tides.” Geophys. J. Roy. Astr. Soc., 29, p. 380.CrossRefGoogle Scholar
  12. Lambeck, K., 1980. “The Earth’s Variable Rotation: Geophysical Causes and Consequences.” Cambridge University Press, Cambridge.Google Scholar
  13. Marchuk, G. L. and Kagan, B. A., 1977. “Ocean Tides: Mathematical Models of Numerical Experiments.” Gidrometeoizdat, Leningrad, in Russian.Google Scholar
  14. Melchior, P., 1983. “The Tides of the Planet Earth.” Sec. Ed., Pergamon Press, Oxford.Google Scholar
  15. Miller, G. R., 1966. “The Flux of Tidal Energy Out of the Deep Oceans.” J. Geophys. Res., 71, p. 2485.CrossRefGoogle Scholar
  16. Munk, W. H., 1966. “Abyssal Recipes.” Deep-Sea Res., 13, p. 707.Google Scholar
  17. Munk, W. H., 1968. “Once Again-Tidal Friction.” Quart. J. Roy. Soc., 9, p. 352.Google Scholar
  18. Munk, W. H. and Cartwright, D. E., 1966. “Tidal Spectroscopy and Prediction.” Phil. Trans. Roy. Soc. London, A, 259, p. 533.CrossRefGoogle Scholar
  19. Parke, M. E. and Hendershott, M. C., 1980. “M2,S2,K1 Models of the Global Ocean Tide on an Elastic Earth.” Marine Geodesy, 3, p. 379.CrossRefGoogle Scholar
  20. Pekeris, C. L. and Accad, Y. 1969. “Solution of Laplace’s Equation for the M2 Tide in the World Oceans.” Phil. Trans. Roy. Soc. London, A, 265, p. 413.CrossRefGoogle Scholar
  21. Proudman, J., 1928. “Deformation of Earth-Tides by Means of Water-Tides in Narrow Seas.” Bull Noll, Sect. Oceanogr., Cons. de Recherches, Venedig.Google Scholar
  22. Proudman, J., 1952. “Dynamical Oceanography.” Dover, New York.Google Scholar
  23. Schlichting, H., 1968. “Boundary-Layer Theory.” McGraw-Hill, New York.Google Scholar
  24. Schwiderski, E. W., 1978a. “Global Ocean Tides, Part I: A Detailed Hydrodynamical Interpolation Model,” NSWC/DL-TR 3866.Google Scholar
  25. Schwiderski, E. W., 1978b. “Hydrodynamically Defined Ocean Bathymetry,” NSWC/DL-TR 3888.Google Scholar
  26. Schwiderski, E. W., 1979. “Global Ocean Tides, Part II: ”The Semidiurnal Principal Lunar Tide (M2),“ NSWC TR 79–414.Google Scholar
  27. Schwiderski, E. W., 1980a. “Ocean Tides, Part I: Global Ocean Tidal Equations,” Marine Geodesy, 3, p. 161.CrossRefGoogle Scholar
  28. Schwiderski, E. W., 1980b. “Ocean Tides, Part II: A Hydrodynamical Interpolation Model,” Marine Geodesy, 3, p. 219.CrossRefGoogle Scholar
  29. Schwiderski, E. W., 1980c. “On Charting Global Ocean Tides,” Reviews of Geophysics and Space Physics, 18, p. 243.CrossRefGoogle Scholar
  30. Schwiderski, E. W., 1981a. “Global Ocean Tides, Parts III-IX.” NSWCTR’s 81–122, 81–142, 81–144, 81–218, 81–220, 81–222, 81–224.Google Scholar
  31. Schwiderski, E. W., 1981b. “Exact Expansions of Arctic Ocean Tides.” NSWC-TR 81–494.Google Scholar
  32. Schwiderski, E. W., 1983. “Atlas of Ocean Tidal Charts and Maps, Part I: The Semi-diurnal Principal Lunar Tide M2.” Marine Geodesy, 6, p. 219.CrossRefGoogle Scholar
  33. Schwiderski, E. W., 1984. “On Tidal Friction and the Braking of the Earth’s Rotation and Moon’s Revolution.” To be published.Google Scholar
  34. Schwiderski, E. W. and Szeto, L. T., 1981. “The NSWC Ocean Tide Data Tape (GOTD), Its Features and Application, Random-Point Tide Program.” NSWC-TR 81–254.Google Scholar
  35. Suendermann, J. and Brosche, P., 1978. “Numerical Computation of Tidal Friction for Present and Ancient Oceans.” In Tidal Friction and the Earth’s Rotation. Editors: Brosche, P. and Suendermann, J., Springer, Berlin, p. 125.CrossRefGoogle Scholar
  36. Taylor, G. I., 1918. “Tidal Friction in the Irish Sea.” Phil. Trans. Roy. Soc., London, A, 220, p. 1.Google Scholar
  37. Wunsch, C., 1975. “Internal Tides in the Ocean.” Reviews of Geophysics and Space Physics, 13, p. 167.CrossRefGoogle Scholar
  38. Zahel, W., 1970. “Die Reproduktion Gezeitenbedingter Bewegungsvorgange im Weltozean Mittels des Hydrodynamisch-Numerischen Verfahrens,” Mitteilungen des Inst. f. Meereskunde der Univ., Hamburg, X VII.Google Scholar
  39. Zahel, W., 1977. “A Global Hydrodynamical-Numerical 1°-Model of the Ocean Tides; the Oscillation System of the M2-Tide and its Distribution of Energy Dissipation. Ann. Geophys. t. 33, fasc. 1/2, p. 31.Google Scholar
  40. Zahel, W., 1978. “The Influence of Solid Earth Deformations on Semi-diurnal and Diurnal Oceanic Tides.” In Tidal Friction and the Earth’s Rotation. Editors: Brosche, P. and Suendermann, J., Springer, Berlin, p. 98.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1984

Authors and Affiliations

  • Ernst W. Schwiderski
    • 1
  1. 1.Naval Surface Weapons Center/K104DahlgrenUSA

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