Comparison of finite difference- and pseudospectral methods for convective flow over a sphere

Details Comparison of finite difference- and pseudospectral methods for convective flow over a sphere Comparison of finite difference- and pseudospectral methods for convective flow over a sphere

Dec 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997georl..24.3245f&link_type=abstract

Geophysical Research Letters, Volume 24, Issue 24, p. 3245-3248

Physics

Geophysics

5

Mathematical Geophysics: Numerical Solutions, Mathematical Geophysics: Modeling, Meteorology And Atmospheric Dynamics: Numerical Modeling And Data Assimilation

Scientific paper

For modeling convective flows over a sphere or within a spherical shell, pseudospectral (PS) methods are in general far more cost-effective than finite difference- (or finite element) methods. This study confirms this, and proceeds by comparing a Fourier-PS implementation (based on a longitude-latitude grid) with one using spherical harmonics. For similar resolutions, these are found to be of similar accuracy. However, the former is computationally about ten times faster.

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