Hybrid Methods in Engineering Modeling, Programming, Analysis, Animation

ISSN for PRINT: 1099-2391

For Online Access

Best Paper Award Selection - Editorial Board Site

2000, Volume2

Issue 4

152 pages

Issue price - $125.00

L. S. de B. Alves
Laboratory of Transmission and Technology of Heat—LTTC Mechanical Engineering Dept.—E.E.—COPPE/UFRJ Universidade Federal do Rio de Janeiro Cx Postal 68503—Rio de Janeiro,RJ,CEP:21945-970,Brazil; University of California at Los Angeles,

L. A. Sphaier
Laboratory of Transmission and Technology of Heat—LTTC Mechanical Engineering Department—E.E.—COPPE/UFRJ Universidade Federal do Rio de Janeiro Cx Postal 68503—Rio de Janeiro., R.J., CEP: 21945-970, Brazil

Renato M. Cotta
Universidade Federal do Rio de Janeiro

Mixed lumped-differential formulations for diffusion problems are formally analyzed, with particular emphasis on heat transfer applications The main interest in these formulations resides in the task of modeling problems, prior to the choice of solution strategies, trying to reduce, as much as possible, and within prescribed accuracy requirements, the number of dimensions of any particular partial differential problem. This article illustrates appropriate integration strategies developed within a symbolic computation environment, which are employed to deduce mathematical formulations of comparable simplicity and improved accuracy in comparison with the classical well—established lumping procedures. Besides, approximate error expressions, based on the known boundary and/or initial conditions of the solutions, are readily obtained, for both steady and transient states formulations.

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