Details are given of the computational method used to obtain an accurate solution of the equations describing two-dimensional natural convection in a square cavity with differentially heated side walls. Second-order, central difference approximations were used. Mesh refnement and extrapolation led to solutions for 103Ra10 6 which are believed to be accurate to better than 1 per cent at the highest Rayleigh number and down to one-tenth of that at the lowest value.
%0 Journal Article
%1 devahldavis83:IJNMF-3-249
%A de Vahl Davis, G.
%D 1983
%J International Journal for Numerical Methods in Fluids
%K usyd 76r10-free-convection 76m20-finite-difference-methods-in-fluid-mechanics 76-04-fluid-mechanics-explicit-machine-computation-and-programs
%N 3
%P 249--264
%R 10.1002/fld.1650030305
%T Natural Convection of Air in a Square Cavity: A Benchmark Numerical Solution
%U http://dx.doi.org/10.1002/fld.1650030305
%V 3
%X Details are given of the computational method used to obtain an accurate solution of the equations describing two-dimensional natural convection in a square cavity with differentially heated side walls. Second-order, central difference approximations were used. Mesh refnement and extrapolation led to solutions for 103Ra10 6 which are believed to be accurate to better than 1 per cent at the highest Rayleigh number and down to one-tenth of that at the lowest value.
@article{devahldavis83:IJNMF-3-249,
abstract = {{Details are given of the computational method used to obtain an accurate solution of the equations describing two-dimensional natural convection in a square cavity with differentially heated side walls. Second-order, central difference approximations were used. Mesh refnement and extrapolation led to solutions for 103Ra10 6 which are believed to be accurate to better than 1 per cent at the highest Rayleigh number and down to one-tenth of that at the lowest value.}},
added-at = {2017-06-29T07:13:07.000+0200},
author = {de Vahl Davis, G.},
biburl = {https://www.bibsonomy.org/bibtex/2141bcd5c534315874d1a93a365261563/gdmcbain},
citeulike-article-id = {2441246},
citeulike-linkout-0 = {http://dx.doi.org/10.1002/fld.1650030305},
doi = {10.1002/fld.1650030305},
interhash = {581af0b7951d783710745ee49bc961fd},
intrahash = {141bcd5c534315874d1a93a365261563},
journal = {International Journal for Numerical Methods in Fluids},
keywords = {usyd 76r10-free-convection 76m20-finite-difference-methods-in-fluid-mechanics 76-04-fluid-mechanics-explicit-machine-computation-and-programs},
number = 3,
pages = {249--264},
posted-at = {2008-02-28 10:10:08},
priority = {2},
timestamp = {2019-04-03T00:56:09.000+0200},
title = {{Natural Convection of Air in a Square Cavity: A Benchmark Numerical Solution}},
url = {http://dx.doi.org/10.1002/fld.1650030305},
volume = 3,
year = 1983
}