Numerical integration of rotation with geometry propagators  

作　　者：Jianhua Tang Linfang Qian Qiang Yin 

机构地区：[1]School of Mechanical Engineering Nanjing University of Science and Technology Nanjing,P.R.China

出　　处：《International Journal of Modeling, Simulation, and Scientific Computing》2016年第3期150-170,共21页建模、仿真和科学计算国际期刊（英文）

摘　　要：Commutator free method is an effective method for solving rotating integration.Numerical examples show that the use of the proposed combining method can achieve the same order accuracy with less computation than other geometry integration method.However,it is difficult to be directly applied to mechanic dynamics solutions.In this paper,commutator free method which is often applied to rotation integration and classical Runge–Kutta(RK)method which is usually operated in Linear space are combined to solve the multi-body dynamic equations.The explicit Runge–Kutta coefficients are reconstructed to meet different order accuracy integration methods.The reconstruction method is discussed and coefficients are given.With this method,the dynamic equations can be solved accurately and economically without much modification on the classical numerical integration.Moreover,CG method and CF method can also be combined with adaptive RK method without many changes.Finally,the results of the examples show that with less computation,fourth-order combining method is as accurate as fourth-order Crouch–Grossman algorithm.

关 键 词：Runge-Kutta method geometry propagators commutator free method 

分 类 号：O17[理学—数学]