Journal cover Journal topic
Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
Journal topic

Journal metrics

Journal metrics

  • IF value: 1.699 IF 1.699
  • IF 5-year value: 1.559 IF 5-year
    1.559
  • CiteScore value: 1.61 CiteScore
    1.61
  • SNIP value: 0.884 SNIP 0.884
  • IPP value: 1.49 IPP 1.49
  • SJR value: 0.648 SJR 0.648
  • Scimago H <br class='hide-on-tablet hide-on-mobile'>index value: 52 Scimago H
    index 52
  • h5-index value: 21 h5-index 21
Volume 16, issue 5
Nonlin. Processes Geophys., 16, 587–598, 2009
https://doi.org/10.5194/npg-16-587-2009
© Author(s) 2009. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue: Nonlinear processes in oceanic and atmospheric flows

Nonlin. Processes Geophys., 16, 587–598, 2009
https://doi.org/10.5194/npg-16-587-2009
© Author(s) 2009. This work is distributed under
the Creative Commons Attribution 3.0 License.

  25 Sep 2009

25 Sep 2009

Long-term evolution of strongly nonlinear internal solitary waves in a rotating channel

J. C. Sánchez-Garrido1,2 and V. Vlasenko3 J. C. Sánchez-Garrido and V. Vlasenko
  • 1Grupo de Oceanografía Física. Dpto. Física Aplicada II, Campus de Teatinos, University of Malaga, Malaga, Spain
  • 2Grupo de Puertos y Costas, Centro Andaluz de Medio Ambiente, University of Granada, Granada, Spain
  • 3School of Earth, Ocean and Enviromental Sciences, Plymouth University, Drake Circus, Plymouth PL8 4AA, UK

Abstract. The evolution of internal solitary waves (ISWs) propagating in a rotating channel is studied numerically in the framework of a fully-nonlinear, nonhydrostatic numerical model. The aim of modelling efforts was the investigation of strongly-nonlinear effects, which are beyond the applicability of weakly nonlinear theories. Results reveal that small-amplitude waves and sufficiently strong ISWs evolve differently under the action of rotation. At the first stage of evolution an initially two-dimensional ISW transforms according to the scenario described by the rotation modified Kadomtsev-Petviashvili equation, namely, it starts to evolve into a Kelvin wave (with exponential decay of the wave amplitude across the channel) with front curved backwards. This transition is accompanied by a permanent radiation of secondary Poincaré waves attached to the leading wave. However, in a strongly-nonlinear limit not all the energy is transmitted to secondary radiated waves. Part of it returns to the leading wave as a result of nonlinear interactions with secondary Kelvin waves generated in the course of time. This leads to the formation of a slowly attenuating quasi-stationary system of leading Kelvin waves, capable of propagating for several hundreds hours as a localized wave packet.

Publications Copernicus
Download
Citation