Stable and Unstable Eigensolutions of Laplace's Tidal Equations for Zonal Wavenumber Zero

作     者：RolfMüller 

作者机构：Max-Planck-Institut fur Chemie Abt. Luftchemie Postfach 3060 D-6500 Mainz FRG 

出 版 物：《Advances in Atmospheric Sciences》 (大气科学进展（英文版）)

年 卷 期：1993年第10卷第1期

页      面：21-40页

核心收录：

学科分类：07[理学] 070601[理学-气象学] 0706[理学-大气科学] 0816[工学-测绘科学与技术] 0825[工学-航空宇航科学与技术] 

主　　题：Stable and Unstable Eigensolutions of Laplace’s Tidal Equations for Zonal Wavenumber Zero Zn 

摘      要：Laplace s tidal equations are of great importance in various fields of geophysics. Here, the special case of zonal symmetry (zonal wavenumber m = 0) is investigated, where degenerate sets of eigensolutions appear. New results are presented for the inclusion of dissipative processes and the case of unstable conditions. In both instances the (nonzero) eigenfrequencies are complex. In the latter case, additional stable (i.e. real) eigenfrequencies appear in the numerical results for the absolute value of the Lambparameter ε being larger than a critical value εc. Further, it is shown that any degeneracies are removed through the inclusion of dissipation. Moreover, asymptotic relations are derived employing the relation of Laplace s tidal equations for m = 0 to the spheroidal differential equation. The implications of these findings to numerical techniques are demonstrated and results of computations are presented.