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| Titel |
On spurious instabilities on the β-planes with no mean flows |
| VerfasserIn |
N. Paldor |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
0992-7689
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| Digitales Dokument |
URL |
| Erschienen |
In: Annales Geophysicae ; 28, no. 9 ; Nr. 28, no. 9 (2010-09-24), S.1737-1739 |
| Datensatznummer |
250016885
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| Publikation (Nr.) |
 copernicus.org/angeo-28-1737-2010.pdf |
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| Zusammenfassung |
| Recent numerical calculations that suggest the existence of instabilities of
the shallow water equations on the β-planes (both mid-latitudes and
on the equator) are shown to be associated with spurious instabilities
rather than genuine unstable modes. The spurious unstable modes arise in an
analysis of the necessary condition for the existence of complex roots to
the cubic dispersion relation but it is shown here that these complex roots
are not associated with solutions (eigenvalues and eigenfunctions) of the
corresponding eigenvalue equation. |
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