Transformation of internal waves at the bottom ledge

Churaev, E. N. and Semin, S. V. and Stepanyants, Y. A. (2014) Transformation of internal waves at the bottom ledge. In: 19th Australasian Fluid Mechanics Conference (AFMC 2014), 8–11 Dec 2014, Melbourne, Australia.

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Abstract

Transformation of internal gravity waves on the oceanic shelf is studied theoretically and numerically within the framework of the linear approximation. It is assumed that internal waves pass over the continental shelf experiencing partial transmission and reflection. The problem is studied for the simplified model of the shelf represented by the sharp bottom ledge. The fluid stratification is assumed to be a two-layer with the density of the upper layer being rho_0, and the density of the lower layer being rho_1. The theoretical approximate formulae are proposed for the transmission and reflection coefficients as the functions of an incoming wave number, density ratio, a depth of the interface between the layers, and depth ratio before and after the ledge edge. Results of direct numerical modelling of linear internal waves transformation are presented as functions of all aforementioned parameters. The modelling was undertaken by means of the numerical code MITgcm. The results obtained are analysed in details and compared against the proposed formulae.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: Authors, or their employers or clients in the case of works made for hire, retain the following rights: ...5. The right to post an author-prepared version or an official version (preferred version) of the published paper on an internal or external server controlled exclusively by the author/employer, provided that (a) such posting is non‐commercial in nature and the paper is made available to users without charge; (b) a full citation and copyright notice appear with the paper, and (c) a link to the AFMS’s official online version of the abstract is provided. 
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 26 Jan 2015 06:03
Last Modified: 18 May 2017 03:45
Uncontrolled Keywords: internal wave, transmission coefficient, reflection coefficient, bottom step, wave transformation
Fields of Research : 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
04 Earth Sciences > 0405 Oceanography > 040503 Physical Oceanography
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
E Expanding Knowledge > 97 Expanding Knowledge > 970104 Expanding Knowledge in the Earth Sciences
URI: http://eprints.usq.edu.au/id/eprint/26625

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