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application of fast fourier transforms to the direct solution of a class of two-dimensional separable elliptic equations on the sphereAn 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.
Document ID
19930041275
Document Type
Reprint (Version printed in journal)
Authors
Moorthi, Shrinivas
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Higgins, R. W.
(Universities Space Research Association; NASA, Goddard Space Flight Center Greenbelt, MD, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1993
Publication Information
Publication: Monthly Weather Review
Volume: 121
Issue: 1
ISSN: 0027-0644
Subject Category
NUMERICAL ANALYSIS
Distribution Limits
Public
Copyright
Other