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A concise derivation of the semi-geostrophic equations

✍ Scribed by S. Chynoweth; M. J. Sewell

Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
867 KB
Volume
117
Category
Article
ISSN
0035-9009

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✦ Synopsis

Abstract

A self‐contained account of the semi‐geostrophic equations is given. This contains formulae not previously available in the literature. The equations are presented in terms of four alternative sets of independent variables, and the Legendre mappings between these variables are specified. The approach is facilitated by the introduction of a general theorem in vector analysis, which is proved, concerning the total or convected derivative of a Jacobian following the particle. An expression for the curvature of a front is included.

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