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Variations on a beta-plane: derivation of non-traditional beta-plane equations from Hamilton's principle on a sphere

Abstract:

Starting from Hamilton's principle on a rotating sphere, we derive a series of successively more accurate β-plane approximations. These are Cartesian approximations to motion in spherical geometry that capture the change with latitude of the angle between the rotation vector and the local vertical. Being derived using Hamilton's principle, the different β-plane approximations each conserve energy, angular momentum and potential vorticity. They differ in their treatments of the locally horizon...

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Publication status:
Published

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Publisher copy:
10.1017/S0022112010006464

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
JOURNAL OF FLUID MECHANICS
Volume:
674
Pages:
174-195
Publication date:
2011-05-05
DOI:
EISSN:
1469-7645
ISSN:
0022-1120
URN:
uuid:b43787db-6edb-4fde-bb53-55f3bb0c19db
Source identifiers:
146622
Local pid:
pubs:146622

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