中文摘要：

发展了一个基于有限元法的“扩散综合加速算法”,用于改善传统“源项迭代”技术在求解散射占优型介质辐射问题时计算效率较低的缺陷。该算法通过P1扩散近似方程修正散射源项,提高迭代计算的准确度,从而实现了求解效率的提升。通过几个算例的分析,结果表明：当前的加速算法是准确高效的,能够明显提高介质辐射有限元法的计算效率,缩短计算时间。随着介质光学厚度和反照率的增大,算法的加速效果越趋明显,计算时间大幅缩短。

英文摘要：

A diffusion-synthetic acceleration algorithm based on the finite element method for calculation of radiative heat transfer was developed. The algorithm increased the computational efficiency of the conventional source-iteration technique in the simulation of radiative heat transfer for the scatteringdominated problem. The present method enhanced the accuracy of iteration by using the P1 diffusionapproximation method to rectify the scattering source term of the radiative transfer equation, and increased the efficiency of calculation. The results indicated that the algorithm could simulate radiative heat transfer in absorbing and scattering media accurately and efficiently. It could obviously increase the efficiency and reduce the computational time of the finite element method. With increasing optical thickness and albedo of the medium, the acceleration result of the algorithm was more obvious and the computation required less time.