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Integrations of the primitive equations on a sphere using the finite element method
Author(s) -
Cullen M. J. P.
Publication year - 1974
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49710042605
Subject(s) - finite element method , wavenumber , mathematical analysis , grid , mathematics , mixed finite element method , primitive equations , finite difference coefficient , extended finite element method , rossby wave , order (exchange) , regular grid , physics , geometry , simultaneous equations , optics , differential equation , atmospheric sciences , finance , economics , thermodynamics
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.