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| Titel |
Energy-conserving and Hamiltonian low-order models in geophysical fluid dynamics |
| VerfasserIn |
A. Gluhovsky |
| 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 ; 13, no. 2 ; Nr. 13, no. 2 (2006-05-04), S.125-133 |
| Datensatznummer |
250011728
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| Publikation (Nr.) |
 copernicus.org/npg-13-125-2006.pdf |
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| Zusammenfassung |
| Arbitrary truncations in the Galerkin method commonly used to derive
low-order models (LOMs) may violate fundamental conservation properties of
the original equations, causing unphysical behaviors in LOMs such as
unbounded solutions. To avoid these, energy-conserving LOMs are developed in
the form of coupled Volterra gyrostats, based on analogies between fluid
dynamics and rigid body mechanics. Coupled gyrostats prove helpful in
retaining in LOMs the Hamiltonian structure of the original equations.
Examples of Hamiltonian LOMs describing 2-D and 3-D Rayleigh-Bénard
convection are presented, including the celebrated Lorenz model and its 3-D
analog. |
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