摘要
将紧致格式与低阶格式结合,构造紧致格式的修正项,并将修正项加入到源项中进行求解,得到了一种基于非均分网格求解泊松方程的紧致修正法,且将该方法应用于二维和三维泊松方程的数值求解中。数值计算结果表明:紧致修正方法的精度高于经典方法的精度,但四阶紧致修正方法比二阶经典方法对网格的依赖性强。
In this paper combining the compact finite difference scheme with the classical finite difference scheme,the compact correction term was established and it was added to the source term.Then a new compact correction method for solving Poisson equation was developed on non-uniform grids.This method was applied to solving 2D or 3D Poisson equation.The results show that compact method has higher accuracy than the classical method,and the 4-order compact scheme is more sensitive to grid ratio than the 2-order classical scheme.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
2011年第4期422-429,共8页
Chinese Journal of Hydrodynamics
基金
国家自然科学基金资助项目(50876067)
上海市教委发展基金项目(J50501)资助
关键词
泊松方程
非等距网格
紧致差分格式
紧致修正法
Poisson equation
non-uniform mesh
compact finite difference scheme
compact correction method
