A Conservative Iterative-Based Zonal Decomposition Scheme for Conduction Heat Transfer Problems

[+] Author and Article Information
O. E. Ruiz, W. Z. Black

George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332

J. Heat Transfer 121(1), 169-173 (Feb 01, 1999) (5 pages) doi:10.1115/1.2825935 History: Received March 13, 1998; Revised September 14, 1998; Online December 05, 2007


A new conservative iterative-based zonal decomposition technique for the solution of complex heat conduction problems is proposed. This numerical technique is based on dividing the domain into subdomains and ensuring that the heat flux and temperature are continuous at the boundary between subdomains. An example problem is used to illustrate the zonal decomposition technique for both steady and transient problems. This numerical technique results in accuracy which equals or exceeds traditional finite difference solutions and solution times which are significantly less than traditional finite difference solutions. A numerical relaxation parameter is introduced and its value is optimized to provide the most rapid convergence to an accurate solution.

Copyright © 1999 by The American Society of Mechanical Engineers
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