摘要
本文提出了数值求解二维泊松方程的九点优化差分方法,正方形网格时达六阶精度O(h^6)。文中放弃了许多离散方法把源项局部“冻结”的处理方法,考虑了其在离散网格内的局部空间变化,分析了该项的处理对格式精度的影响。分析和计算表明,本文提供的方法具有精度高和收敛快等特点。
An optimal finite difference method, leading to six-order accuracy, is developed for solving the 2-D Poison equations numerically. In the study, freezing the source term locally, used in most of discrete methods, is not adopted and the source term is considered as variation in the local difference meshes. The analyses and computations show that the present method can provide higher accuracy and give better results than those obtained in the previous work. Finally, it is concluded that the technique treating the source term brings direct effects not only on the accuracy but also on the convergency of numerical solutions.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
1992年第3期263-269,共7页
Chinese Journal of Hydrodynamics
关键词
差分方法
泊松方程
流体力学
difference method, Poison equation, fluid mechanics.
