中文摘要：

本文应用无网格有限差分法求解参与性介质内辐射传递问题。无网格有限差分法源于广义有限差分法,利用局域泰勒多项式展开和具有插值特性的移动最小二乘,直接构造任意计算点待求函数的近似值及其各阶导数的差分格式,计算效率高,满足插值特性。本文检验了该算法求解辐射传输方程的稳定性;分别求解一维和二维参与性介质内辐射换热问题,算例结果与已有文献对比,表明了无网格有限差分法求解辐射传递问题的有效性和高精度。

英文摘要：

Meshless finite difference method has been employed to solve radiative transfer problems in participating media.Meshless finite difference method（MFDM） originates from the generalized finite difference method,in which Taylor series expansion and weighted moving least squares are employed to construct the approximation of unknown function and the difference scheme of the derivatives at each evaluated point.The pseudo-shape functions have delta Kronecker property.A variety of problems in 1-D and 2-D geometries are studied to illustrate the numerical performance.The numerical results are compared well with the benchmark approximate solutions,and it is shown that the meshless finite difference method（MFDM） is easily implemented,efficient,of high accuracy and excellent stability,to solve radiative heat transfer in participating media.