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CONVECTION TREATMENT USING SPECTRAL ELEMENTS OF DIFFERENT ORDER
Author(s) -
RØNQUIST EINAR M.
Publication year - 1996
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/(sici)1097-0363(19960229)22:4<241::aid-fld350>3.0.co;2-n
Subject(s) - convection , finite element method , spectral element method , mathematics , operator (biology) , spectral method , mechanics , compressibility , mathematical analysis , physics , mixed finite element method , thermodynamics , chemistry , biochemistry , repressor , gene , transcription factor
We present here our experiences with using the spectral element methodology to solve convection‐dominated problems. Different polynomial approximations are used inside the spectral elements and both conforming and non‐conforming interface conditions are investigated. The three spectral element methods that we explore can all be considered to be special cases of the more general mortar element method. We compare the methods for solving incompressible fluid flow and heat transfer problems. Particular attention is given to the convection treatment. The numerical results can be strongly dependent upon whether a conforming or a non‐conforming method is used as well as the particular form of the discrete convection operator (convective form versus skew‐symmetric form).