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Article Information:
Title:
Numerical simulation of two-dimensional laminar mixed-convection in a lid-driven cavity using the mixed finite element consistent splitting scheme
Author(s):
Jeff C.-F. Wong
Journal:
International Journal of Numerical Methods for Heat & Fluid Flow
Year:
2007
Volume:
Issue:
Page:
46 - 93
DOI:
10.1108/09615530710716081
Publisher:
Emerald Group Publishing Limited
Document Access:
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Abstract:
Purpose – The purpose of this paper is to propose an efficient/robust numerical algorithm for solving the two-dimensional laminar mixed-convection in a lid-driven cavity using the mixed finite element (FE) technique.
Design/methodology/approach – A numerical algorithm was based on the so-called consistent splitting scheme, which improved the numerical accuracy of the primitive variables. In order to obtain a stable solution, two choices of mixed FEs, the Taylor-Hood and Crouzeix-Raviart types, were used. Two mesh layouts were considered; uniform and non-uniform.
Findings – To verify that the proposed scheme had a second-order accuracy, some numerical results are presented and compared with the known solution. The answer was confirmative. Numerically accurate solutions were obtained for a fixed Prandtl number,
Research limitations/implications – Further extensions of this work could include the influence of various choices of Reynolds numbers, Prandtl numbers and Richardson numbers, and the effect of aspect ratio.
Originality/value – The present work was the first to apply a mixed FE in association with the consistent splitting scheme to the mixed convection problem.
Keywords:
Convection,
Finite element analysis,
Programming and algorithm theory
Article Type:
Research paper
References:
Article URL:
www.emeraldinsight.com/10.1108/09615530710716081