Abstract
AbstractAs the functions that characterize the fundamental structures of global scale atmospheric waves, Hough functions provide a physically based means for analyzing the dynamics of atmospheric tides, and are also used as a numerical tool with enhanced efficiency in the integration of atmospheric models. This paper introduces our development in the calculation of Hough functions based on Laplace's tidal equation. The framework of the calculation and the details of the procedures are described. The Eigen values and the Hough functions associated with each of the 39 tidal components that fall in three primary frequencies, viz., diurnal, semidiurnal and terdiurnal, and in zonal wavenumber range [–6, 6], are all calculated. As examples, the results of the Hough functions associated with the migrating diurnal and semidiurnal tides are presented here to show the correctness in the structure of these functions. And the results of the corresponding Eigen values show that substantial accuracies in these values are maintained, which suggests that the current results are sufficiently applicable for conventional applications.
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