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.
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A Conservative Iterative-Based Zonal Decomposition Scheme for Conduction Heat Transfer Problems
O. E. Ruiz,
O. E. Ruiz
George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332
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W. Z. Black
W. Z. Black
George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332
Search for other works by this author on:
O. E. Ruiz
George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332
W. Z. Black
George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332
J. Heat Transfer. Feb 1999, 121(1): 169-173 (5 pages)
Published Online: February 1, 1999
Article history
Received:
March 13, 1998
Revised:
September 14, 1998
Online:
December 5, 2007
Citation
Ruiz, O. E., and Black, W. Z. (February 1, 1999). "A Conservative Iterative-Based Zonal Decomposition Scheme for Conduction Heat Transfer Problems." ASME. J. Heat Transfer. February 1999; 121(1): 169–173. https://doi.org/10.1115/1.2825935
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