解结构动力问题的半隐式Runge-Kutta型并行直接积分法

计算物理 ›› 1992, Vol. 9 ›› Issue (2): 133-138.

解结构动力问题的半隐式Runge-Kutta型并行直接积分法

周树荃, 高科华

南京航空学院, 南京 210016

收稿日期:1991-05-29 修回日期:1991-11-30 出版日期:1992-06-25 发布日期:1992-06-25
基金资助:
航空科学基金

SIMI-IMPLICIT RUNGE-KUTTA TYPE PARALLEL DIRECT INTEGRATION METHODS FOR STRUCTURAL DYNAMIC PROBLEM

Zhou Shuquan, Gao kehua

Nanjing Aeronautical Institute

Received:1991-05-29 Revised:1991-11-30 Online:1992-06-25 Published:1992-06-25

摘要/Abstract

摘要： 本文利用三级三阶半隐式Runge-Kutta法解结构动力问题,并用多项式预处理共轭梯度法解有关方程组。提出了半隐式Runge-Kutta型并行直接积分法RK33P。在YH-1机上,与相应的串行算法RK33S相比较,当有关方程组的阶数为10³~10⁴时,加速比可达24~27。

关键词: 并行直接积分法, 龙格-库塔型平行方法, 多项式预处理共轭梯度法

Abstract: This paper presents simiimplicit Runge-kutta type parallel direct integration methods to solve structural dynamic problems using 3-stage-3-order semi-implicit Runge-kutta method and using polynomial preconditioned conjugate gradient method for solving relevant systems of linear algebraic equations. Compared with relevant serical algorithm RK33S on YH-1 computer, parallel algorithm RK33P's speed up is 24~27 when linear systems of equations involved is of order 10³~10⁴.

Key words: parallel direct integration method, Runge-kutta type parallel method, polynomial preconditionings for the conjugate gradient method

周树荃, 高科华. 解结构动力问题的半隐式Runge-Kutta型并行直接积分法[J]. 计算物理, 1992, 9(2): 133-138.

Zhou Shuquan, Gao kehua. SIMI-IMPLICIT RUNGE-KUTTA TYPE PARALLEL DIRECT INTEGRATION METHODS FOR STRUCTURAL DYNAMIC PROBLEM[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 9(2): 133-138.