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Integrations of the primitive equations on a sphere using the finite element method

✍ Scribed by M. J. P. Cullen

Publisher
John Wiley and Sons
Year
1974
Tongue
English
Weight
423 KB
Volume
100
Category
Article
ISSN
0035-9009

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✦ Synopsis

Abstract

Integrations of the shallow water equations on the sphere using the finite element method are performed and compared with published integrations of Doron et al. (1974). Better results are obtained with the finite element method than with a second order finite difference method using four times the number of grid points, in particular the breakdown of a Rossby wave of zonal wavenumber 8 is correctly predicted.

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## Abstract Solving transport equations on the whole sphere using an explicit time stepping and an Eulerian formulation on a latitude–longitude grid is relatively straightforward but suffers from the pole problem: due to the increased zonal resolution near the pole, numerical stability requires una