摘要
将子网格剖分的支撑算子方法,拓展应用于三维非匹配网格上的扩散方程求解.算例表明该方法在正交非匹配网格上能够精确获得线性解;在一般非匹配网格上可以达到二阶精度;在求解曲面网格和节点不共面网格时,精度比平面近似的方法要高,也可以达到2阶精度,同时也适合求解含有物质界面的混合介质网格.
Sub-division method based on support operator is used to solve diffusion equation with three-dimensional non-conformal mesh and non-planar mesh. Numerical experiments show that the method is second-order accurate on general non-conformal mesh. For curved-face mesh and non-planar-face mesh, the method is more accurate than traditional plane-approximation method. For non- conformal orthogonal mesh, the method can obtain accurate solutions of linear problems.
作者
郭少冬
章明宇
周海兵
熊俊
张树道
GUO Shaodong ZHANG Mingyu ZHOU Haibing XIONG Jun ZHANG Shudao(Institute of Applied Physics and Computational Mathematics, Beijing 100094, China)
出处
《计算物理》
CSCD
北大核心
2017年第1期19-28,共10页
Chinese Journal of Computational Physics
基金
国家自然科学基金项目(11205016
11472060
11372050)
中国工程物理研究院科学技术发展基金项目(2014B0202031
2013A0101004)资助
关键词
扩散方程
三维非匹配网格
支撑算子格式
子网格剖分
diffusion equation
three-dimensional non-conformal mesh
support operator method
sub-division
