Open AccessFurther non‐separable exact solutions of the deep‐ and shallow‐atmosphere equations
Author(s) -
Staniforth A.,
White A. A.
Publication year - 2011
Publication title -
atmospheric science letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.951
H-Index - 45
ISSN - 1530-261X
DOI - 10.1002/asl.349
Subject(s) - separable space , atmosphere (unit) , geostrophic wind , scope (computer science) , balance (ability) , field (mathematics) , flow (mathematics) , meteorology , geology , mathematics , mechanics , computer science , mathematical analysis , climatology , physics , medicine , pure mathematics , physical medicine and rehabilitation , programming language
Scope for the analytical description of zonal flows and thermodynamic fields in cyclostrophic and geostrophic balance on the sphere is explored in both deep and shallow formulations. Closed‐form zonal flow solutions are given for much wider classes of temperature field than those employed in an earlier study. As well as being of scientific interest, these solutions find application in numerical model development and testing. Some considerations for the comparison of deep and shallow formulations using the solutions are noted. © 2011 British Crown copyright, the Met Office. Published by John Wiley & Sons Ltd.