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The use of a stream function in a two-parameter model of the atmosphere

✍ Scribed by F. H. Bushby; Vera M. Huckle

Publisher
John Wiley and Sons
Year
1956
Tongue
English
Weight
596 KB
Volume
82
Category
Article
ISSN
0035-9009

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✦ Synopsis

Abstract

In an attempt to obtain a better approximation to the horizontal flow of a non‐divergent fluid than the geostrophic approximation, a Monge‐AmpΓ¨re type of partial differential equation, similar to that of Charney (1955), is derived to enable a stream function to be found from the contour height field. A method is given for the numerical solution of this equation.

The stream function has been used in place of the contour height parameter to represent the flow at the mean level in computing three 24 hr forecasts based on the Sawyer‐Bushby two‐parameter model of the atmosphere, and the results are compared with similar computations without the stream function.

In one situation, the use of the stream function produced a marked improvement in the computation.

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