Parallel computation for spherical harmonic synthesis and analysis

Authors:
Huadong Xiao;Yang Lu
Affiliations:
Institute of Geodesy and Geophysics, Chinese Academy of Sciences, 340 Xudong Street, Wuhan, Hubei 430074, China and National Meteorological Information Center, Beijing, China and Graduate School o ...;Institute of Geodesy and Geophysics, Chinese Academy of Sciences, 340 Xudong Street, Wuhan, Hubei 430074, China and Unite Center for Astro-geodynamics Research, Shanghai, China
Venue:
Computers & Geosciences
Year:
2007

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Abstract

The objectives of this research were to develop computational techniques for parallel computers capable of performing computations of spherical harmonic analysis and synthesis for ultra-high degree and order. The FFT method was used as a basis for the numerical scheme. The numerical stability of computing-associated Legendre functions and their integrals with both double and quadruple precision was investigated. The domain decomposition and collective communication strategy was used to achieve parallelism and was implemented by message passing. The experimental results showed that the parallel computations significantly shortened computation time and obtained a good implementation with high parallel efficiency.