Abstract
As to two typical Väisälä frequency profiles in deep oceans, one in the Arctic Ocean and one in the Atlantic, the approximate analytical method ofHyun (1976) is used to calculate internal wave dispersion relations. The method is shown to have good agreement with the matrix numerical method. By making calculations for an exemplary Väisälä frequency profile with a thermocline, an assessment is made of the inaccuracies in the dispersion curves obtained by the ordinary WKB method which does not take into account the turning point singularities.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Cole, J. (1968): Perturbation Methods in Applied Mathematics. Blaisdell Publishing Co., Waltham, Mass., pp. 105–111.
Eckart, C. (1960): Hydrodynamics of Oceans and Atmospheres. Pergamon Press, Oxford, Chapters 12 and 14.
Eckart, C. (1961): Internal waves in the ocean. Phys. Fluids,4, 791–799.
Fliegel, M. andK. Hunkins (1975): Internal wave dispersion calculated using the Thomson-Haskell Method. J. Phys. Oceanogr.,5, 541–548.
Hyun, J. M. (1976): Internal wave dispersion in deep oceans calculated by means of two-variable expansion techniques. J. Oceanogr. Soc. Japan,32, 11–20.
Phillips, O. M. (1966): The Dynamics of the Upper Ocean. Cambridge, Chapter 5.
Yearsley, J. (1966): Internal waves in the Arctic Ocean. Lamont Geological Observatory Report, 63 pp. (unpublished ms).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hyun, J.M. Internal wave dispersions in density-stratified deep oceans with a thermocline. Journal of the Oceanographical Society of Japan 33, 16–22 (1977). https://doi.org/10.1007/BF02110844
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02110844