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On the use of the Galerkin method for 3D numerical modelling of the general circulation: the South Atlantic eperiment
Author(s) -
Harari Joseph,
Giarolla Emanuel
Publication year - 2002
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.248
Subject(s) - galerkin method , circulation (fluid dynamics) , ocean current , discontinuous galerkin method , scale (ratio) , current (fluid) , mathematics , geology , primitive equations , boundary value problem , boundary (topology) , surface (topology) , meteorology , mechanics , geometry , mathematical analysis , climatology , physics , finite element method , differential equation , oceanography , simultaneous equations , thermodynamics , quantum mechanics
A linear three‐dimensional hydrodynamical numerical model, with the application of the Galerkin Method for the vertical dependence, is here presented. The spherical coordinate system is used, in order to allow large‐scale simulations. The equations and mathematical development of the model are shown in detail, together with the boundary and initial conditions, and the sequence of equations' solution. The model is applied to the South Atlantic Ocean, for estimating typical seasonal circulations, and the results are summarized in maps of currents at surface and 1000 m depth, and in transport values of the Brazil Current between 30°S and 40°S. Copyright © 2002 John Wiley & Sons, Ltd.