The vertical structure equation (VSE) is solved by a Galerkin method as used by Kasahara. The sensitivity of the vertical decomposition to the truncation order of the Legendre polynomials series is studied, with the aim of finding an adequate truncation order for a given data set.Obtained results show that: (1) the vertical scale decomposition presents little sensitivity to the truncation order; (2) the order of truncation may be greater than the number of discrete levels in the data set. It is finally shown that the proposed choice of truncation order may overcome the problem of aliasing in the higher internal modes.
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Castanheira et al. (1999) studied this question.
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