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Further non‐separable exact solutions of the deep‐ and shallow‐atmosphere equations

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.