Articles | Volume 23, issue 4
Nonlin. Processes Geophys., 23, 285–305, 2016
Nonlin. Processes Geophys., 23, 285–305, 2016

Research article 18 Aug 2016

Research article | 18 Aug 2016

Limiting amplitudes of fully nonlinear interfacial tides and solitons

Borja Aguiar-González and Theo Gerkema

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Cited articles

Apel, J. R., Ostrovsky, L. A., Stepanyants, Y. A., and Lynch, J. F.: Internal solitons in the ocean, Tech. Rep., Woods Hole Oceanographic Institution, 2006.
Choi, W. and Camassa, R.: Fully nonlinear internal waves in a two-fluid system, J. Fluid Mech., 396, 1–36, 1999.
Da Silva, J. C. B., Buijsman, M. C., and Magalhaes, J. M.: Internal waves on the upstream side of a large sill of the Mascarene Ridge: a comprehensive view of their generation mechanisms and evolution, Deep-Sea Res. Part I, 99, 87–104, 2015.
Durran, D.: Numerical methods for wave equations in geophysical fluid dynamics, vol. 32, Springer Verlag, 1999.
Gerkema, T.: Nonlinear dispersive internal tides: generation models for a rotating ocean, Ph.D. thesis, Utrecht University, 1994.
Short summary
We derive a new two-fluid layer model consisting of forced rotation-modified Boussinesq equations for studying the limiting amplitudes of tidally generated fully nonlinear, weakly nonhydrostatic dispersive interfacial tides and solitons. Numerical solutions show that solitons attain in some cases a limiting table-shaped form, but may also be limited well below that state by saturation of the underlying quasi-linear internal tide under increasing barotropic forcing.