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An operator‐splitting finite‐element approach to the 8:1 thermal‐cavity problem
Author(s) -
Davis D.,
Bänsch E.
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.388
Subject(s) - finite element method , conjugate gradient method , discretization , generalized minimal residual method , benchmark (surveying) , mathematics , operator splitting , matrix (chemical analysis) , mathematical analysis , mathematical optimization , linear system , physics , materials science , geology , thermodynamics , geodesy , composite material
This article describes the methodology for, and results obtained from, our contribution to the thermal‐cavity benchmark test. Our solutions were obtained on graded rectangular grids for two different time‐discretization schemes by applying a finite‐element procedure to the model equations, and a combination of conjugate‐gradient and GMRES solvers to the resulting matrix systems. Copyright © 2002 John Wiley & Sons, Ltd.