Wave Dynamics in Stratified Media of Non-Uniform Depth
Authors: Bulatov V.V., Vladimirov Yu.V. | Published: 17.06.2015 |
Published in issue: #3(60)/2015 | |
DOI: 10.18698/1812-3368-2015-3-58-76 | |
Category: Mechanics | Chapter: Mechanics of Liquid, Gas, and Plasma | |
Keywords: stratified medium, internal gravity waves, WKBJ-asymptotics, Kantorovich - Lebedev transformation |
The article considers wave dynamics in a stratified medium of the non-uniform depth. It presents the research into the wave dynamics of monochrome internal gravity waves in the wedge. Both an explicit analytical solution to this problem and the asymptotics are found. The explicit solutions to an assumption of the linear bottom slant are found with the help of the Kantorovich-Lebedev transformation. They describe both a separated mode and the total wave field excited by a common source point. WKBJ-asymptotics of the separate wave mode defined by a hypergeometric function as well as asymptotics ofthe total wave field defined by semilogarithmical function are obtained. The results of numerical computations of the wave fields occurring in the natural ocean environment using the exact and asymptotic quotations are presented. The limits to their applicability are determined.
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