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RESEARCH PAPERS

A Monte Carlo Method of Solving Heat Conduction Problems

[+] Author and Article Information
S. K. Fraley, T. J. Hoffman

Oak Ridge National Laboratory, Oak Ridge, Tenn. 37830

P. N. Stevens

The University of Tennessee, Knoxville, Tenn. 37916

J. Heat Transfer 102(1), 121-125 (Feb 01, 1980) (5 pages) doi:10.1115/1.3244222 History: Received August 08, 1979; Online October 20, 2009

Abstract

A new approach in the use of Monte Carlo to solve heat conduction problems is developed using a transport equation approximation to the heat conduction equation. A variety of problems is analyzed with this method and their solutions are compared to those obtained with analytical techniques. This Monte Carlo approach appears to be limited to the calculation of temperatures at specific points rather than temperature distributions. The method is applicable to the solution of multimedia problems with no inherent limitations as to the geometric complexity of the problem.

Copyright © 1980 by ASME
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