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Generation of Weakly Nonlinear Nonhydrostatic Internal Tides Over Large Topography: a Multi-modal Approach : Volume 15, Issue 2 (07/03/2008)

By Maugé, R.

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Book Id: WPLBN0003987215
Format Type: PDF Article :
File Size: Pages 12
Reproduction Date: 2015

Title: Generation of Weakly Nonlinear Nonhydrostatic Internal Tides Over Large Topography: a Multi-modal Approach : Volume 15, Issue 2 (07/03/2008)  
Author: Maugé, R.
Volume: Vol. 15, Issue 2
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Gerkema, T., & Maugé, R. (2008). Generation of Weakly Nonlinear Nonhydrostatic Internal Tides Over Large Topography: a Multi-modal Approach : Volume 15, Issue 2 (07/03/2008). Retrieved from

Description: Laboratoire de Physique des Océans, Université de Bretagne Occidentale, 6 avenue Le Gorgeu, 29238 Brest, France. A set of evolution equations is derived for the modal coefficients in a weakly nonlinear nonhydrostatic internal-tide generation problem. The equations allow for the presence of large-amplitude topography, e.g. a continental slope, which is formally assumed to have a length scale much larger than that of the internal tide. However, comparison with results from more sophisticated numerical models show that this restriction can in practice be relaxed. It is shown that a topographically induced coupling between modes occurs that is distinct from nonlinear coupling. Nonlinear effects include the generation of higher harmonics by reflection from boundaries, i.e. steeper tidal beams at frequencies that are multiples of the basic tidal frequency. With a seasonal thermocline included, the model is capable of reproducing the phenomenon of local generation of internal solitary waves by a tidal beam impinging on the seasonal thermocline.

Generation of weakly nonlinear nonhydrostatic internal tides over large topography: a multi-modal approach

Akylas, T R., Grimshaw, R. H J., Clarke, S R., and Tabaei, A.: Reflecting tidal wave beams and local generation of solitary waves in the ocean thermocline, J. Fluid Mech., 593, 297–313, 2007.; Bender, C M. and Orszag, S A.: Advanced mathematical methods for scientists and engineers, McGraw-Hill, 1978.; Durran, D R.: Numerical methods for wave equations in geophysical fluid dynamics, Springer, 1999.; Garrett, C. and Gerkema, T.: On the body-force term in internal-tide generation, J. Phys. Oceanogr., 37, 2172–2175, 2007.; Gerkema, T.: Internal and interfacial tides: beam scattering and local generation of solitary waves, J. Mar. Res., 59, 227–255, 2001.; Gerkema, T., Internal-wave reflection from uniform slopes: higher harmonics and Coriolis effects, Nonlin. Processes Geophys., 13, 265–273, 2006.; New, A L. and Pingree, R D.: Local generation of internal soliton packets in the central Bay of Biscay, Deep-Sea Res., 39, 1521–1534, 1992.; Gerkema, T., Lam, F. P A., and Maas, L. R M.: Internal tides in the Bay of Biscay: conversion rates and seasonal effects, Deep-Sea Res. II, 51(25/26), 2995–3008, 2004.; Gerkema, T., Staquet, C., and Bouruet-Aubertot, P.: Decay of semi-diurnal internal-tide beams due to subharmonic resonance, Geophys. Res. Lett., 33, L08604, doi:10.1029/2005GL0250105, 2006.; Griffiths, S D. and Grimshaw, R. H J.: Internal tide generation at the continental shelf modelled using a modal decomposition: two-dimensional results, J. Phys. Oceanogr., 37, 428–451, 2007.; Grimshaw, R. H J., Ostrovsky, L A., Shrira, V I., and Stepanyants, Y A.: Long nonlinear surface and internal gravity waves in a rotating ocean, Surv. Geophys., 19, 289–338, 1998.; Helfrich, K R. and Melville, W K.: Long nonlinear internal waves, Annu. Rev. Fluid Mech., 38, 395–425, 2006.; Khatiwala, S.: Generation of internal tides in an ocean of finite depth: analytical and numerical calculations, Deep-Sea Res. I, 50, 3–21, 2003.; Koop, C G. and Butler, G.: An investigation of internal solitary waves in a two-fluid system, J. Fluid Mech., 112, 225–251, 1981.; Lamb, K G.: Numerical experiments of internal wave generation by strong tidal flow across a finite amplitude bank edge, J. Geophys. Res., 99, 843–864, 1994.; Maugé, R.: Modèles de génération des marées internes, Université de Bretagne Occidentale, Brest, PhD-thesis, 2006.; New, A L. and Da~Silva, J. C B.: Remote-sensing evidence for the local generation of internal soliton packets in the Central Bay of Biscay, Deep-Sea Res., 49, 915–934, 2002.; New, A L. and Pingree, R D.: Large-amplitude internal soliton packets in the central Bay of Biscay, Deep-Sea Res., 37, 513–524, 1990.; Pingree, R D. and New, A L.: Abyssal penetration and bottom reflection of internal tidal energy into the Bay of Biscay, J. Phys. Oceanogr., 21, 28–39, 1991.; Tabaei, A., Akylas, T R., and Lamb, K G.: Nonlinear effects in reflecting and colliding internal wave beams, J. Fluid Mech., 526, 217–243, 2005.; Vlasenko, V I. and Morozov, E G.: Generation of semidiurnal internal waves near a submarine ridge, Oceanology, 33, 282–286, 1993.


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