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An EBE finite element method for simulating nonlinear flows in rotating spheroidal cavities
Author(s) -
Chan Kit H.,
Zhang Keke,
Liao Xinhao
Publication year - 2009
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.2088
Subject(s) - inviscid flow , finite element method , discretization , nonlinear system , compressibility , geometry , mechanics , rotation (mathematics) , classical mechanics , physics , eccentricity (behavior) , focus (optics) , mathematical analysis , mathematics , optics , quantum mechanics , political science , law , thermodynamics
Many planetary and astrophysical bodies are rotating rapidly, fluidic and, as a consequence of rapid rotation, in the shape of an ablate spheroid. We present an efficient element‐by‐element (EBE) finite element method for the numerical simulation of nonlinear flows in rotating incompressible fluids that are confined in an ablate spheroidal cavity with arbitrary eccentricity. Our focus is placed on temporal and spatial tetrahedral discretization of the EBE finite element method in spheroidal geometry, the EBE parallelization scheme and the validation of the nonlinear spheroidal code via both the constructed exact nonlinear solution and the special resonant forcing in the inviscid limit. Copyright © 2009 John Wiley & Sons, Ltd.