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Spectral element benchmark simulations of natural convection in two‐dimensional cavities
Author(s) -
Gjesdal Thor,
Wasberg Carl Erik,
Reif Bjørn Anders Pettersson
Publication year - 2005
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.1121
Subject(s) - discretization , natural convection , buoyancy , spectral element method , benchmark (surveying) , finite element method , boussinesq approximation (buoyancy) , mathematics , square (algebra) , mechanics , physics , operator (biology) , spectral method , mathematical analysis , convection , geometry , mixed finite element method , geology , thermodynamics , chemistry , rayleigh number , biochemistry , geodesy , repressor , gene , transcription factor
This paper reports the results of spectral element simulations of natural convection in two‐dimensional cavities. In particular, a detailed comparison is performed with the reference data for the 8:1 cavity at Ra =3.4 × 10 5 recently described by Christon et al. [ Int. J. Numer. Methods Fluids 2002; 40 :953–980]. The Navier–Stokes equations augmented by the Boussinesq approximation to represent buoyancy effects are solved by a numerical method based on a spectral element discretization and operator splitting. The computed solutions agree closely with the reference data for both the square and the rectangular cavity configurations. Copyright © 2005 John Wiley & Sons, Ltd.
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