Efficient spherical harmonic transforms aimed at pseudospectral numerical simulations
نویسندگان
چکیده
منابع مشابه
Efficient Spherical Harmonic Transforms aimed at pseudo-spectral numerical simulations
In this paper, we report on very efficient algorithms for the spherical harmonic transform (SHT). Explicitly vectorized variations of the algorithm based on the Gauss-Legendre quadrature are discussed and implemented in the SHTns library which includes scalar and vector transforms. The main breakthrough is to achieve very efficient on-the-fly computations of the Legendre associated functions, e...
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Spherical Harmonic Transforms (SHTs) which are essentially Fourier transforms on the sphere are critical in global geopotential and related applications. For analysis purposes, discrete SHTs are difficult to formulate for an optimal discretization of the sphere, especially for applications with requirements in terms of near-isometric grids and special considerations in the polar regions. With t...
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ژورنال
عنوان ژورنال: Geochemistry, Geophysics, Geosystems
سال: 2013
ISSN: 1525-2027
DOI: 10.1002/ggge.20071