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• W2593939625 abstract "Modeling Internal Solitary Wave Development at the Head of a Submarine Canyon Timothy F. Duda, Weifeng Gordon Zhang, Karl R. Helfrich, Ying-Tsong Lin and Arthur E. Newhall Woods Hole Oceanographic Institution tduda@whoi.edu Abstract Groups of nonlinear internal waves observed near submarine canyons exhibit location and direction features that we seek to explain. Notably, waves move to the right when looking up a boreal canyon and radiate from a compact apparent source. We have modeled and explained features of the underlying internal tide that is locally generated as surface tidal waves move over the slopes, and here we move on to the short-scale nonlinear waves that co-exist with the internal tide. Two-dimensional nonlinear wave modeling with the extended rotation-modified Korteweg DeVries equation nested into the internal-tide fields produces short (nonhydrostatic) waves that qualitatively agree with observations. Full three-dimensional non-hydrostatic modeling of the tidal response with MITgcm produced short waves that mimic observations, and the results are used to diagnose the causes of localization and directionality. A multiple-scattering approach of a single normal mode can explain the internal-tide signature, but is likely insufficient for the full wave field. Introduction Nonlinear internal waves are known to be widespread throughout the ocean, thanks to their being detectable with satellite sensors, and a compilation by Jackson (2004) shows some remarkable images. These waves can be caused by flow over bathymetric features or by oscillatory flows over slopes. For subcritical barotropic tidal flow over topography, where the flow speed is less than speed of the radiating waves, the response is often an intermediate wave, a long-wavelength internal tide (Baines (1982), Garrett and Kunze (2007)). The internal tide (IT) waves can steepen by the effects of nonlinearity and often develop into nonlinear wave groups, see e.g. Li and Farmer (2011). Many theoretical and computational modeling studies have explained the details of the processes, which can vary greatly over the wide variety of parameter regimes that are found in the worlds oceans. Here we study nonlinear wave packet generation from barotropic internal tidal flow incident on canyons that can incise the outer edge of the continental shelf. Two methods are used: the MITgcm dynamical ocean model that includes the effects of non- hydrostatic pressure, and a hybrid modeling approach the can be used for more rapid computations but has recognized limitations. A number of satellite synthetic aperture radar images show nonlinear wave packets mov- ing to the right from the head of canyons, when looking up a boreal canyon. Figure 1 shows this phenomenon. In prior work, we used both a computational ocean model with only hydrostatic pressure and a normal-mode based wave propagation model to explain the geometry of the internal tide beam apparently responsible for the waves in the figure (Zhang et al. (2014)). This success motivated continued work to explain the actual nonlin- ear wave packet like the one moving northward in the figure, building on the explanation of the underlying IT. VIII th Int. Symp. on Stratified Flows, San Diego, USA, Aug. 29 - Sept. 1, 2016" @default.
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• W2593939625 date "2016-08-30" @default.
• W2593939625 modified "2023-09-26" @default.
• W2593939625 title "Modeling internal solitary wave development at the head of a submarine canyon" @default.
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