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| Titel |
Gyrostatic extensions of the Howard-Krishnamurti model of thermal convection with shear |
| VerfasserIn |
C. Tong, 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 ; 15, no. 1 ; Nr. 15, no. 1 (2008-02-06), S.71-79 |
| Datensatznummer |
250012555
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| Publikation (Nr.) |
 copernicus.org/npg-15-71-2008.pdf |
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| Zusammenfassung |
| The Howard & Krishnamurti (1986)
low-order model (LOM) of Rayleigh-Bénard convection with
spontaneous vertical shear can be extended to incorporate various
additional physical effects, such as externally forced vertical
shear and magnetic field. Designing such extended LOMs so that their
mathematical structure is isomorphic to those of systems of coupled
gyrostats, with damping and forcing, allows for a modular approach
while respecting conservation laws. Energy conservation (in the
limit of no damping and forcing) prevents solutions that diverge to
infinity, which are present in the original Howard & Krishnamurti
LOM. The first LOM developed here (as a candidate model of
transverse rolls) involves adding a new Couette mode to represent
externally forced vertical shear. The second LOM is a modification
of the Lantz (1995) model for
magnetoconvection with shear. The modification eliminates an
invariant manifold in the original model that leads to potentially
unphysical behavior, namely solutions that diverge to infinity, in
violation of energy conservation. This paper reports the first
extension of the coupled gyrostats modeling framework to incorporate
externally forced vertical shear and magnetoconvection with shear.
Its aim is to demonstrate better model building techniques that
avoid pathologies present in earlier models; consequently we do not
focus here on analysis of dynamics or model validation. |
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