Application of fast Fourier transforms to the direct solution of a class of two-dimensional separable elliptic equations on the sphere

An efficient, direct, second-order solver for the discrete solution of a class of two-dimensional separable elliptic equations on the sphere (which generally arise in implicit and semi-implicit atmospheric models) is presented. The method involves a Fourier transformation in longitude and a direct s...

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Bibliographic Details
Published in:Monthly weather review 1993-01, Vol.121 (1), p.290-296
Main Authors: Moorthi, Shrinivas, Higgins, R. W.
Format: Article
Language:English
Subjects:
Earth, ocean, space
Exact sciences and technology
External geophysics
General circulation. Atmospheric waves
Meteorology
Numerical Analysis
Online Access:Get full text
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Summary:An efficient, direct, second-order solver for the discrete solution of a class of two-dimensional separable elliptic equations on the sphere (which generally arise in implicit and semi-implicit atmospheric models) is presented. The method involves a Fourier transformation in longitude and a direct solution of the resulting coupled second-order finite-difference equations in latitude. The solver is made efficient by vectorizing over longitudinal wave-number and by using a vectorized fast Fourier transform routine. It is evaluated using a prescribed solution method and compared with a multigrid solver and the standard direct solver from FISHPAK.
ISSN:0027-0644
1520-0493
DOI:10.1175/1520-0493(1993)121<0290:aofftt>2.0.co;2