Strongly nonlinear, simple internal waves in continuously-stratified, shallow fluids 1Zel Technologies and University of Colorado, Boulder, CO, USA
14 Feb 2011
2Institute of Applied Physics, Nizhny, Novgorod, Russia
3Department of Physical Oceanography, Woods Hole Oceanographic Institution, Woods Hole, MA, USA
Received: 30 June 2010 – Revised: 17 December 2010 – Accepted: 18 January 2011 – Published: 14 February 2011Abstract. Strongly nonlinear internal waves in a layer with arbitrary stratification
are considered in the hydrostatic approximation. It is shown that "simple
waves" having a variable vertical structure can emerge from a wide class of
initial conditions. The equations describing such waves have been obtained
using the isopycnal coordinate as a variable. Emergence of simple waves from
an initial Gaussian impulse is numerically investigated for different
density profiles, from two- and three-layer structure to the continuous one. Besides the
first mode, examples of second- and third-mode simple waves are given.
Citation: Ostrovsky, L. A. and Helfrich, K. R.: Strongly nonlinear, simple internal waves in continuously-stratified, shallow fluids, Nonlin. Processes Geophys., 18, 91-102, doi:10.5194/npg-18-91-2011, 2011.