Topographic Factor and Limit Transitions in the Equations for Subinertial Waves
https://doi.org/10.59887/fpg/92rg-6t7h-m4a2
Abstract
In this paper, sub-inertial waves propagating on the Kuril shelf and the oceanic trench are considered. Against the background of a historical review of the beginning of the study of topographic waves and the appearance of relevant terms, a description of the features of wave propagation and the derivation of the main dispersion equations are given. We show that all variants of the topographic solutions presented in the article are basically based on the same dispersion relation: this is the dispersion relation for Rossby topographic waves. Two separate classes of localized solutions have been constructed: one is for the shelf, and the second, in fact, is also for the shelf, but which is commonly called trench waves. We demonstrate that the transverse wave number for trench waves is not independent, as for shelf waves, but is a function of the longitudinal wave number. In other words, Rossby topographic waves are two–dimensional waves, while shelf waves are quasi-one-dimensional solutions. The analytical novelty of the work consists of the fact that we can make crosslinking of trench and shelf waves. This fact was not presented in previous articles on this topic.
Supporting agencies: The publication was made with the financial support of the St Petersburg State University Grant No. 93016972, RSF Grant No. 22-27-00004, and State assignment theme No. 0128-2021-0003.
About the Authors
V. G. Gnevyshev
Shirshov Institute of Oceanology, Russian Academy of Sciences
Russian Federation
Russian Federation
36 Nakhimovsky Prosp., Moscow, 117997
V. S. Travkin
St. Petersburg State University
Russian Federation
Russian Federation
7–9 Universitetskaya Emb., St. Petersburg, 199034
T. V. Belonenko
St. Petersburg State University
Russian Federation
Russian Federation
7–9 Universitetskaya Emb., St. Petersburg, 199034
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Review
For citations:
Gnevyshev V.G., Travkin V.S., Belonenko T.V. Topographic Factor and Limit Transitions in the Equations for Subinertial Waves. Fundamental and Applied Hydrophysics. 2023;16(1):8–23. https://doi.org/10.59887/fpg/92rg-6t7h-m4a2
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