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The Spectral Element Method for the Shallow Water Equations on the Sphere

✍ Scribed by Mark Taylor; Joseph Tribbia; Mohamed Iskandarani

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 575 KB
Volume: 130
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1996.5554

No coin nor oath required. For personal study only.

✦ Synopsis

any potential climate model should perform well on these tests. In this paper we will present the results from these

The spectral element method is implemented for the shallow water equations in spherical geometry and its performance is com-test cases after first comparing and contrasting the spectral pared with other models. This is the first step in evaluating the element method with global spectral methods and desuitability of spectral elements for climate modeling. The potential scribing the details of the model specific to spherical geadvantages and disadvantages of spectral elements over more conometry.

ventional models used for climate studies are discussed. The method requires that the sphere be tiled with rectangles, for which we make use of the gnomonic projection to map the sphere onto the cube. To measure the performance of the method relative to

2. SPHERICAL HARMONICS AND

other models, results are presented from a standard suite of shallow

SPECTRAL ELEMENTS

water test cases for the sphere. These results confirm the spectral accuracy of the method. ᮊ 1997 Academic Press Global atmospheric modeling is in one sense easier than ocean modeling. The geometrically complex ocean basins are replaced by the surface of a sphere. The sphere has

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