Improvement of analytical method on radiative heat transfer in nongray media by Monte Carlo method

An accelerated method is developed for radiative heat-transfer analysis in nongray media by the Monte Carlo method. Instead of deciding all the parameters of each energy particle used in the Monte Carlo procedure by a stochastic method, the wave number assigned to each energy particle is determined by a deterministic method in the present study. This change in the Monte Carlo algorithm reduces the computation time to one-ninth of the original time. To reduce the amount of iteration required to converge the temperature profile in a nongray media layer, an acceleration factor is incorporated to determine the new values of temperature in each iterational loop. The value of the acceleration factor is found to be related to the optical thickness of each media element. By using an appropriate acceleration factor, the amount of iteration is reduced to one-fourth of the original. Moreover, the total computation time becomes 1/36 of the original by the two improvements.