Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/15403
Title: Numerical exploration of 1+2 type laminar natural convection in a differentially heated square cavity using Chebyshev spectral collocation method
Authors: Lin, C
Yang, H 
Zhu, Z
Keywords: Chebyshev spectral collocation method
Chorin's algorithm
Laminar natural convection
Issue Date: 2012
Publisher: Pergamon Press
Source: International communications in heat and mass transfer, 2012, v. 39, no. 5, p. 593-597 How to cite?
Journal: International communications in heat and mass transfer 
Abstract: In this paper, the Chebyshev spectral collocation method is applied to explore the unsteady two dimensional (1+2 type) laminar natural convection in a differentially heated square cavity at a Rayleigh number (Ra) of 10 7. The method has embedded the traditional Chorin's algorithm so as to avoid the trouble of seeking the pressure field in the buoyancy driven wall-jet flow. The sensitivity of the δ- parameter has been numerically investigated. It is found that when the δ value is over 11.6173, numerical instability occurs. Comparing the maximum horizontal velocity component with the existing numerical data obtained by solving the Poisson's equation of pressure field reveals that the Chorin's algorithm should be inapplicable for the solution of the benchmark problem of natural convection at Ra=10 7 in thermal science.
URI: http://hdl.handle.net/10397/15403
ISSN: 0735-1933
DOI: 10.1016/j.icheatmasstransfer.2012.03.008
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