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

Author:

Ruiz O. E.1,Black W. Z.1

Affiliation:

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

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A dynamic compact thermal model for data center analysis and control using the zonal method and artificial neural networks;Applied Thermal Engineering;2014-01

2. A Compact Thermal Model for Data Center Analysis using the Zonal Method;Numerical Heat Transfer, Part A: Applications;2013-09

3. A general thermal contact resistance finite element;Finite Elements in Analysis and Design;2002-01

4. Heat transfer – a review of 1999 literature;International Journal of Heat and Mass Transfer;2001-10

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