ACCURATE NUMERICAL COMPUTATIONS OF TAYLOR INTEGRALS

Citation
Mr. Walker et Cf. Barenghi, ACCURATE NUMERICAL COMPUTATIONS OF TAYLOR INTEGRALS, Geophysical and astrophysical fluid dynamics, 87(3-4), 1998, pp. 173-191
Citations number
28
Categorie Soggetti
Geochemitry & Geophysics","Astronomy & Astrophysics",Mechanics
ISSN journal
03091929
Volume
87
Issue
3-4
Year of publication
1998
Pages
173 - 191
Database
ISI
SICI code
0309-1929(1998)87:3-4<173:ANCOTI>2.0.ZU;2-5
Abstract
The numerical evaluation of Taylor integrals in their natural geometry of a cylinder has long been a problem when considering the dynamics o f the Earth's dynamo, as the Earth's natural coordinate system is a sp here. We describe an exact new method of dealing with the Taylor integ rals while remaining in a spherical geometry. The procedure explained in this paper is valid for a full sphere and only the axisymmetric cas e is considered here.