NUMERICAL ERRORS OF THE GALERKIN FINITE-ELEMENT METHOD FOR NATURAL CONVECTION OF A FLUID LAYER OR A FLUID-SATURATED POROUS LAYER
作者:
Tatsuo Nishimura,
Yuji Kawamura,
期刊:
Numerical Heat Transfer, Part A: Applications
(Taylor Available online 1992)
卷期:
Volume 22,
issue 2
页码: 241-255
ISSN:1040-7782
年代: 1992
DOI:10.1080/10407789208944767
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
This paper describes the effects of element size and formula used for the calculation of temperature gradients on the local and average Nusselt numbers of natural convection for the widely used Galerlan finite-element method. Two cases of laminar two-dimensional natural convection are examined, namely, a fluid layer and a porous layer. The numerical error in the Nusselt numbers decreases with decreasing element size. The maximum error occurs at the position of a maximum of the local Nusselt number. In addition to the effect of element size, the Nusselt numbers are shown to vary with the formula used for calculating temperature gradients. The Nusselt numbers extrapolated to zero element size for different formulas are found, in both cases, to be virtually identical and also to agree well with the experimental data and the results computed by finite-difference methods
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