The Eigensolutions of the Linearized Balance Equations over a Sphere
| Autor: | Antonio Divino Moura |
|---|---|
| Rok vydání: | 1976 |
| Předmět: | |
| Zdroj: | Journal of the Atmospheric Sciences. 33:877-907 |
| ISSN: | 1520-0469 0022-4928 |
| DOI: | 10.1175/1520-0469(1976)033<0877:teotlb>2.0.co;2 |
| Popis: | Solutions of the linearized balance equations over a sphere are presented and compared with the Laplace's tidal equations results obtained by Longuet-Higgins. On these lines, this study searches for a partial answer concerning the accuracy of the balance system for describing slow, large-scale motions in the atmosphere. The solutions corresponding to Hough's second class waves [small values of ϵ = (2 Ωa)2/c2] are well described by the balance system. At large values of ϵ there are apparent discrepancies for the Rossby symmetric modes as compared to Longuet-Higgins type 2 solutions. Nevertheless, for the antisymmetric modes the agreement is good. The linearized version of the motions studied by Burger is also a solution of the balance equations, corresponding to small frequencies and negative values of ϵ. There are also unrealistic solutions (in the light of the balance approximation) with high frequencies and ϵ 0 only westward propagating waves are solu... |
| Databáze: | OpenAIRE |
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