求解介质内热辐射传递的双向统计蒙特卡罗法

基于热辐射传输的光路可逆性原理,提出了求解介质内热辐射传递的双向统计蒙特卡罗法(BSMC法)。该方法采用等温等权抽样,利用能束传输路径的可逆关系进行辐射传递的双向统计计算,充分利用了能束跟踪的计算信息。以二维矩形区域内吸收性介质的热辐射传递为例,介绍了BSMC的求解过程,分析了其计算误差。通过数值模拟,从辐射传递因子计算结果的倒易性满足程度与辐射平衡温度场两方面,将BSMC法与传统的蒙特卡罗法(TMC法)进行了比较。结果表明,在相同的计算量下,BSMC法比TMC有更高的模拟精度。

BIDIRECTIONALLY STATISTICAL MONTE CARLO METHOD FOR RADIATIVE HEAT TRANSFER IN MEDIUM

Based on the reciprocity principle of radiation transfer, a bidirectionally statistical Monte Carlo method (BSMC method) was presented. In the method, the weight-equivalent sampling at uniform temperature is employed to allow the bidirectionally statistical calculation based on the reciprocity of ray tracing, and the calculating information obtained during the ray tracing can be adequately utilized. The radiative transfer in a two dimensional rectangular domain of absorbing medium was taken as an example, an introduction to the BSMC method was presented and the statistical error was analyzed. By numerical simulation, the results of radiative transfer factor and radiative equilibrium temperature predicted by the BSMC method were compared with those obtained by the TMC method. The analysis shows that, under the same calculating expense and compared with the TMC method, more accurate results can be obtained by the BSMC method.