Transformation of internal waves passing over a bottom step

Churaev, Egor N. and Semin, Sergey V. and Stepanyants, Yuri A. (2015) Transformation of internal waves passing over a bottom step. Journal of Fluid Mechanics, 768. R3-1. ISSN 0022-1120


The transformation of small-amplitude internal waves on the oceanic shelf is studied numerically. The transmission and reflection coefficients are found for the simplified step-wise model of the oceanic shelf in a two-layer fluid. The approximate formulae are proposed for the transformation coefficients as functions of incident wavenumber, density ratio of layers, depth of the pycnocline and height of the bottom step. Results of direct numerical modelling of internal wave transformation are obtained and presented as functions of all aforementioned parameters. It is shown that there is a good agreement between the outcomes of approximate theory and numerical data. Both the theoretical and the numerical results agree well with the law of energy flux conservation.

Statistics for USQ ePrint 26849
Statistics for this ePrint Item
Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2015 Cambridge University Press. Permanent restricted access to published version due to publisher copyright policy.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 25 Mar 2015 01:19
Last Modified: 29 Jun 2016 01:06
Uncontrolled Keywords: coastal engineering; general fluid mechanics; internal waves
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: D Environment > 96 Environment > 9610 Natural Hazards > 961006 Natural Hazards in Marine Environments
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
Identification Number or DOI: 10.1017/jfm.2015.92

Actions (login required)

View Item Archive Repository Staff Only