Global Weather Modeling with Vector Spherical Harmonics
IBM FEDERAL SYSTEMS DIV GAITHERSBURG MD
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The report presents the current status of work in the weather models, with a view toward climatological application. Vector Spherical Harmonics are reviewed in the context of solving partial differential equations in spherical coordinates. The basic equations governing global weather models are presented. Vector Spherical Harmonics are applied to these equations in spherical coordinates and it is shown how separation of variables is achieved in the sense that angular dependence is eliminated.