摘要
讨论非结构网格上温度扩散方程的能流计算方法.应用有限点方法(Finite Point Method,简称FPM)导出基于有限点两点公式和三点公式的能流计算公式,该公式适用于任意多边形及非匹配网格等非结构网格;给出网格角点温度新的计算公式.数值试验表明:基于两点公式的离散解和基于三点公式的离散解均具有平方阶的收敛速度;基于三点公式的离散解的精度总优于基于两点公式的离散解.
Numerical methods for energy flux of temperature diffusion equation on unstructured grids are discussed. A finite point method （FPM） is used to get numerical formulae of energy flux based on two-point formula or three-point formula of FPM. These formulae are applicable to unstructured grids, such as arbitrary polygon and unmatched grids etc.. A numerical formula is given to compute tem-peratures at grid nodes. Numerical experiments show that the discrete solutions based on two-point formula and three-point formula have second-order convergence rate even if grids distort heavily. Accuracy of the discrete solutions based on three-point formula is better than that of two-point formula.
出处
《计算物理》
EI
CSCD
北大核心
2007年第4期379-386,共8页
Chinese Journal of Computational Physics
基金
国家自然科学基金数学天元基金(10626009)
国家自然科学基金项目(10431050
10476002)
中国工程物理研究院基金(2003Z0603
20040653)
计算物理实验室基金(51479020105ZW0902)资助项目
关键词
扩散方程
非结构网格
有限点公式
能流计算
diffusion equation
unstructured grid
finite point method formula
energy flux computation
