Strongly nonlinear, simple internal waves in continuously-stratified, shallow fluids

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...

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Published inNonlinear processes in geophysics Vol. 18; no. 1; pp. 91 - 102
Main Authors Ostrovsky, L. A., Helfrich, K. R.
Format Journal Article
LanguageEnglish
Published Gottingen Copernicus GmbH 01.01.2011
Copernicus Publications
Subjects
Approximation
Fluid dynamics
Geophysics
Propagation
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1607-7946
1023-5809
1607-7946
DOI:10.5194/npg-18-91-2011