Show simple item record Lynch, Peter 2011-04-15T09:14:59Z 2011-04-15T09:14:59Z 2009 The Author ; Journal compilation: 2009 Blackwell Munksgaard en 2009-05
dc.identifier.citation Tellus A en
dc.identifier.issn 1600-0870
dc.description.abstract The dynamics of non-divergent flow on a rotating sphere are described by the conservation of absolute vorticity. The analytical study of the non-linear barotropic vorticity equation is greatly facilitated by the expansion of the solution in spherical harmonics and truncation at low order. The normal modes are the well-known Rossby–Haurwitz (RH) waves, which represent the natural oscillations of the system. Triads of RH waves, which satisfy conditions for resonance, are of critical importance for the distribution of energy in the atmosphere. We show how non-linear interactions of resonant RH triads may result in dynamic instability of large-scale components. We also demonstrate a mathematical equivalence between the equations for an orographically forced triad and a simple mechanical system, the forced-damped swinging spring. This equivalence yields insight concerning the bounded response to a constant forcing in the absence of damping. An examination of triad interactions in atmospheric reanalysis data would be of great interest. en
dc.description.sponsorship Not applicable en
dc.format.extent 2029029 bytes
dc.format.mimetype application/pdf
dc.language.iso en en
dc.publisher Wiley-Blackwell en
dc.rights This is the authors' version of the following article: "On Resonant Rossby-Haurwitz triads" published in Tellus (2009), 61A, 438–445. It is available in its final form at en
dc.subject Resonant triads en
dc.subject Rossby waves en
dc.subject.lcsh Rossby waves en
dc.title On resonant Rossby-Haurwitz triads en
dc.type Journal Article en
dc.internal.availability Full text available en
dc.internal.webversions en
dc.status Peer reviewed en
dc.identifier.volume 61 en
dc.identifier.issue 3 en
dc.identifier.startpage 438 en
dc.identifier.endpage 445 en
dc.identifier.doi 10.1111/j.1600-0870.2009.00395.x
dc.neeo.contributor Lynch|Peter|aut| en

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