Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 39, 2001 - Issue 1
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Original Articles

A FINITE DIFFERENCE METHOD FOR SOLVING 3-D HEAT TRANSPORT EQUATIONS IN A DOUBLE-LAYERED THIN FILM WITH MICROSCALE THICKNESS AND NONLINEAR INTERFACIAL CONDITIONS

Pages 21-33 | Published online: 29 Oct 2010
 

Abstract

We develop a finite difference method for solving 3-D heat transport equations in a double-layered thin film with microscale thickness and nonlinear interfacial conditions. The scheme is solved by using a preconditioned Richardson iteration, so that only two tridiagonal linear systems with nonlinear interfacial conditions are solved at each iteration. Applying a parallel Gaussian elimination coupled with Newton's iteration to solve these two linear systems with nonlinear interfacial conditions, we develop a domain decomposition algorithm for thermal analysis of the double-layered thin film. Numerical results for thermal analysis of a gold layer on a chromium padding layer are obtained.

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