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| Titel |
Internal gravity waves: Analysis using the periodic, inverse scattering transform |
| VerfasserIn |
W. B. Zimmerman, G. W. Haarlemmer |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 6, no. 1 ; Nr. 6, no. 1, S.11-26 |
| Datensatznummer |
250003273
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| Publikation (Nr.) |
 copernicus.org/npg-6-11-1999.pdf |
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| Zusammenfassung |
| The discrete periodic inverse scattering transform (DPIST)
has been shown to provide the salient features of nonlinear Fourier analysis for surface
shallow water waves whose dynamics are governed by the Korteweg-de Vries (KdV) equation -
(1) linear superposition of components with power spectra that are invariants of the
motion of nonlinear dispersive waves and (2) nonlinear filtering. As it is well known that
internal gravity waves also approximately satisfy the KdV equation in shallow stratified
layers, this paper investigates the degree to which DPIST provides a useful nonlinear
spectral analysis of internal waves by application to simulations and wave tank
experiments of internal wave propagation from localized dense disturbances. It is found
that DPIST analysis is sensitive to the quantity λ = (r/6s) * (ε/μ2), where the first factor depends parametrically on the Richardson number and the background shear and density profiles and
the second factor is the Ursell number-the ratio of the dimensionless wave amplitude to
the dimensionless squared wavenumber. Each separate wave component of the decomposition of
the initial disturbance can have a different value, and thus there is usually just one
component which is an invariant of the motion found by DPIST analysis. However, as the
physical applications, e.g. accidental toxic gas releases, are usually concerned with the
propagation of the longest wavenumber disturbance, this is still useful information. In
cases where only long, monochromatic solitary waves are triggered or selected by the
waveguide, the entire DPIST spectral analysis is useful. |
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