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THE QUANTITATIVE RESEARCH ON RAY TRACING NUMBER OF MONTE CARLO METHOD IN TOTAL RADIANT EXCHANGE AREA COMPUTATION

DOI: 10.1615/ICHMT.2012.CHT-12.210
pages 357-364

Guo-Jun Li
School of Materials & Metallurgy, Northeastern University

Jiming Sun
Pangang Group Company Ltd., Panzhihua 617067, China

Xiaoting Liu
School of Materials & Metallurgy, Northeastern University, Shenyang 110004, China

Haigeng Chen
School of Materials & Metallurgy, Northeastern University, Shenyang 110004, China

Abstract

Due to the advantages of flexibility, high accuracy, and easy treatment of complicated boundary conditions, the Monte Carlo method has been widely used in computational physics. One of its important applications is to evaluate the total radiation exchange areas in the closed enclosure. As a kind of statistical method, the Monte Carlo can give rise to certain statistical error and its accuracy is proportional to the tracing number n, while the computation time will increase exponentially with respect to n. In order to reduce the computation time, an analysis on the determination of optimal tracing number both qualitatively and quantitatively is conducted for Monte Carlo method, which is adopted to compute the total radiation exchange areas in a two dimensional closed enclosure. Based on the probability theory, the expressions of the average absolute error and reasonable number nr of rays are deduced in this paper, further the relationship between the tracing number n and the accuracy is derived. To avoid the repeat computation, the resulted nr are given in tabular form for the computation of total exchange areas between the gas and surface zones and they can be referred with ease.

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