Interaction of a mode-2 internal solitary wave with narrow isolated topography
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Numerical and experimental studies of the transit of a mode-2 internal solitary wave over an isolated ridge are presented. All studies used a quasi-two-layer fluid with a pycnocline centred at the mid-depth. The wave amplitude and total fluid depth were both varied, while the topography remained fixed. The strength of the interaction between the internal solitary waves and the hill was found to be characterized by three regimes: weak, moderate, and strong interactions. The weak interaction exhibited negligible wave modulation and bottom surface stress. The moderate interaction generated weak and persistent vorticity in the lower layer, in addition to negligible wave modulation. The strong interaction clearly showed material from the trapped core of the mode-2 wave extracted in the form of a thin filament while generating a strong vortex at the hill. A criterion for the strength of the interaction was found by non-dimensionalizing the wave amplitude by the lower layer depth, a/ℓ. A passive tracer was used to measure the conditions for resuspension of boundary material due to the interaction. The speed and prevalence of cross boundary layer transport increased with a/ℓ.
Deepwell , D , Stastna , M , Carr , M & Davies , P A 2017 , ' Interaction of a mode-2 internal solitary wave with narrow isolated topography ' Physics of Fluids , vol 29 , no. 7 , 076601 . DOI: 10.1063/1.4994590
Physics of Fluids
© 2017, the Author(s). This work has been made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1063/1.4994590
This research was supported by the Natural Sciences and Engineering Research Council of Canada through a Discovery Grant (MS), and the Government of Ontario through a Queen Elizabeth II Graduate Scholarship in Science and Technology (DD). The experimental work was conducted at The University of Dundee by DD and MC with the aid of grants provided by The University of Dundee, the University of St Andrews, and the University of Waterloo.