摘要
研究了树形多体Ｈａｍｉｌｔｏｎ系统的隐式辛算法。用矩阵形式给出了系统的正则方程及其右端函数的Ｊａｃｏｂｉ矩阵，并给出该矩阵的分块算法，可提高计算效率隐式辛ＲｕｎｇｅＫｕｔａ算法被采用，数值结果表明给出的算法计算效率高。
The implicit symplectic algorithm of Hamilton multibody system with topological tree configuration is studied. The canonical equations of multibody system and Jacobian matrix of RHS of the equations are obtained in the form of matrix.The paper presents algorithm of Jacobian matrix to raise computational efficiency. The implicit symplectic Runge Kutta algorithm is used in solving the canonical equations of multibody system. Numerical results show that the algorithm has higher computational efficiency and can keep computation stable for long time simulation.
出处
《计算物理》
CSCD
北大核心
1997年第1期35-39,共5页
Chinese Journal of Computational Physics
基金
国家自然科学基金
航空科学基金
国家教委博士点基金
关键词
多体系统
正则方程
辛算法
分析力学
multibody system
canonical equation
symplectic algorithm.
