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| Titel |
Spectral methods for internal waves: indistinguishable density profiles and double-humped solitary waves |
| VerfasserIn |
M. Dunphy, C. Subich, M. Stastna |
| 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 ; 18, no. 3 ; Nr. 18, no. 3 (2011-06-14), S.351-358 |
| Datensatznummer |
250013920
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| Publikation (Nr.) |
 copernicus.org/npg-18-351-2011.pdf |
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| Zusammenfassung |
| Internal solitary waves are widely observed in both the oceans and large
lakes. They can be described by a variety of mathematical theories, covering
the full spectrum from first order asymptotic theory (i.e. Korteweg-de Vries,
or KdV, theory), through higher order extensions of weakly nonlinear-weakly
nonhydrostatic theory, to fully nonlinear-weakly nonhydrostatic theories and
finally exact theory based on the Dubreil-Jacotin-Long (DJL) equation that is
formally equivalent to the full set of Euler equations. We discuss how
spectral and pseudospectral methods allow for the computation of novel
phenomena in both approximate and exact theories. In particular we construct
markedly different density profiles for which the coefficients in the KdV
theory are very nearly identical. These two density profiles yield
qualitatively different behaviour for both exact, or fully nonlinear, waves
computed using the DJL equation and in dynamic simulations of the time
dependent Euler equations. For exact, DJL, theory we compute exact solitary
waves with two-scales, or so-called double-humped waves. |
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