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The evolution of second mode internal solitarywaves over variable topography

Yuan, C; Grimshaw, R; Johnson, E; (2017) The evolution of second mode internal solitarywaves over variable topography. Journal of Fluid Mechanics , 836 pp. 238-259. 10.1017/jfm.2017.812. Green open access

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Abstract

A study of the propagation of a mode-2 internal solitary wave over a slope-shelf topography is presented. The methodology is based on a variable-coefficient Korteweg–de Vries (vKdV) equation, using both analysis and numerical simulations, and simulations using the MIT general circulation model (MITgcm). Two configurations are considered. One is a mode-2 internal solitary wave propagating up the slope, from one three-layer system to another three-layer system. Depending on the height of the shelf, which determines the variation of the nonlinear coefficient of the vKdV equation, this can be classified into two cases. First, the case of a polarity change, in which the coefficient of the quadratic nonlinear term changes sign at a certain critical point on the slope, and second, the case with no such polarity change. In both these cases there is a small transfer of energy from the mode-2 wave to mode-1 waves. The other configuration is when the lower layer in the three-layer system goes to zero at a transition point on the slope, and beyond that point, there is a two-layer fluid system. A mode-2 internal solitary wave propagating up the slope cannot exist past this transition point. Instead it is extinguished and replaced by a mode-1 bore and trailing wave packet which moves onto the shelf.

Type: Article
Title: The evolution of second mode internal solitarywaves over variable topography
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/jfm.2017.812
Publisher version: https://doi.org/10.1017/jfm.2017.812
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Science & Technology, Technology, Physical Sciences, Mechanics, Physics, Fluids & Plasmas, Physics, internal waves, solitary waves, topographic effects, SOUTH CHINA SEA, COASTAL OCEAN, WAVES, GENERATION, TRANSFORMATION
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10042574
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