求解热辐射传递的移动区域蒙特卡罗法

Mobile-Region Monte Carlo Method for Thermal Radiative Transfer

基于热辐射传输的布格尔定律,提出了一种求解大光学厚度介质内热辐射传递的移动区域蒙特卡罗法。以二维矩形区域内吸收性介质的热辐射传递为例,介绍了该方法的基本原理、求解区域设定及求解过程。通过数值模拟,从介质温度分布、抽样数密度两方面,对该方法和传统蒙特卡罗法进行了比较。研究结果表明,将该方法应用于大光学厚度介质内热辐射传递求解,可在满足计算精度要求的前提下,有效地减少计算时间及数据存贮量。

Based on the Bouguer＇s law of radiative transfer, the mobile-region Monte Carlo method was presented to analyze the thermal radiative transfer in medium with a large optical thickness. As an example, the thermal radiative transfer in a two-dimensional rectangular region of absorbing medium was analyzed by this method to illustrate its principle and solution procedure. And a comparison with the traditional Monte Carlo method has been conducted by analyzing the numerical results of temperature distribution and the effect of sampling density. The investigation shows that, for the radiative transfer in medium with a large optical thickness, the application of the mobile-region Monte Carlo method can obviously reduce the computing time and memory space under the solution precision.