On resonant Rossby-Haurwitz triads

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Title: On resonant Rossby-Haurwitz triads
Authors: Lynch, Peter
Permanent link: http://hdl.handle.net/10197/2897
Date: May-2009
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.
Funding Details: Not applicable
Type of material: Journal Article
Publisher: Wiley-Blackwell
Journal: Tellus A
Volume: 61
Issue: 3
Start page: 438
End page: 445
Copyright (published version): 2009 The Author ; Journal compilation: 2009 Blackwell Munksgaard
Keywords: Resonant triadsRossby waves
Subject LCSH: Rossby waves
DOI: 10.1111/j.1600-0870.2009.00395.x
Other versions: http://dx.doi.org/10.1111/j.1600-0870.2009.00395.x
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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