A Study on the Reduction of Computing Time of the Monte Carlo Method Applied to the Radiative Heat Transfer

Abstract

A modified Monte Carlo method is suggested to reduce the computing time and improve the convergent stability of the iteration process. This method succeeds the advantages of the usual Monte Carlo method, that is, adaptability to the complex geometry of the heat transfer system and to the variable property problem. In this method, the number of the radiative bundles emitted from the control elements is proportional to the difference of the emissive energy between two successive iterative turns and the other kind of the radiative bundle is defined and used to correct the variation of the radiative property between two iterative turns. Analytical examples show that this method is able to reduce the computing time remarkably and to improve the convergent stability sufficiently.