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On the accuracy of the semi-geostrophic approximation

✍ Scribed by M. J. P. Cullen

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
963 KB
Volume
126
Category
Article
ISSN
0035-9009

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✦ Synopsis

Abstract

The semi‐geostrophic model has been widely used to understand atmospheric flows such as fronts and developing cyclones. However, there have been a number of demonstrations of its lack of accuracy. This paper presents theory and computations to demonstrate that the semi‐geostrophic model is an accurate approximation to the primitive equations either on horizontal scales larger than the Rossby radius of deformation or when the ratio of horizontal to vertical scales is greater than f/N.

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