摘要
研究二维热传导方程的差分数值模拟 .用变分原理在不规则结构网格上建立热流通量形式的差分格式 .将热流通量作为未知函数求泛函极值 ,并与温度函数联立求解 .克服通常九点格式用插值方法计算网格边界上的热传导系数和网格结点上的温度所引入的误差 .
Difference numerical simulation for two dimensional thermal conduction equation is studied.Using the variational principle,the difference scheme with thermal-flux form in the irregular structured mesh is presented.The thermal flux as an unknown function is obtained by minimizing the functional and solved with the equation of temperature function simultaneously.This scheme overcomes the defects of general nine-point schemes,which have to calculate the thermal conduction coefficients on the cell boundaries and the temperatures located in the cell vertices by interpolation.
出处
《计算物理》
CSCD
北大核心
2002年第4期299-304,共6页
Chinese Journal of Computational Physics
基金
国家高技术 86 3计划惯性约束聚变委员会项目
中国工程物理研究院科学技术基金资助项目
