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In this paper some common used numerical schemes for solving discrete ordinate equations are considered and the error estimates are studied for the combined spatial and angular approximations.The conclusions show that the error order of scalar flux in all of these schemes can not be second order even if the source term f is smooth enouth.In addition,when we introduce a kind of graded grids,the simple step character scheme has same accuracy as “high order“ ones. 相似文献
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基于Riemann解的二维流体力学Lagrange有限点无网格方法 总被引:3,自引:1,他引:2
在高维流体力学计算中,对于多介质大变形等一类问题,采用有网格方法常遇到较大的困难.针对二维问题,研究了一种无网格方法——Lagrange有限点方法:在求解区域上设置适当的离散点集,视其中每一点为流体力学Lagrange点;对于点集的任一点,确定邻点集合,并基于该点同邻点集合的联系,应用Godunov方法将流体力学Lagrange方程进行离散;考虑到算法的稳健性,方法中可设置较多邻点并采用最小二乘法.将该方法应用于典型的数值算例,取得了良好效果. 相似文献