解一维大气辐射离散坐标方程的强脉冲SOR法

A strongly impulsive SOR for solving discrete ordinate equations of 1-D atmospheric radiation

提出了一种能显著加快收敛速度的强脉冲超松弛迭代法 .并针对DOS +ISW算法中的空间差分格式不守恒 ,借助于推导常规阶梯格式和菱形格式的基本方法 ,提出了一种守恒型的差分格式 .

In the DOS+ISW algorithm (JQSRT,2004,83(3-4): 407-421) for calculating 1-D atmospheric radiation,the discrete ordinate equations were solved by using the Gauss-Seidel iterative method. A lot of steps were iterated before the convergence was established. Though the simultaneous replacement SOR method may be used to speed up the convergence,it is not very effective. A strongly impulsive SOR was proposed to effectively speed up the convergence. The spatial difference scheme in the above-mentioned algorithm was not conservative. A conservative scheme was developed based on the basic method for deducing the step and diamond schemes.