MODELING BIVARIABLE-DEPENDEIUT MATERIAL PROPERTIES USING AN EXPLICIT BICUBIC SPLINE

A compact and efficient algorithm is developed for generating and evaluating a bicubic spline interpolating function. The method is useful for the numerical solution of heat transfer and fluid flow problems when the properties are a function of two variables. The explicit formulation allows a one-ti...

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Bibliographic Details
Published in:Numerical heat transfer. Part B, Fundamentals Fundamentals, 1991-01, Vol.19 (2), p.211-221
Main Authors: Jessee, J. Patrick, Nelson, Douglas J.
Format: Article
Language:English
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Summary:A compact and efficient algorithm is developed for generating and evaluating a bicubic spline interpolating function. The method is useful for the numerical solution of heat transfer and fluid flow problems when the properties are a function of two variables. The explicit formulation allows a one-time calculation of sets of bicubic coefficients, which provide an interpolation of the dependent property over the domain of the independent variables. The method provides continuous first and second derivatives in both variables far the iterative solution of nonlinear problems.
ISSN:1040-7790
1521-0626
DOI:10.1080/10407799108944964