Time-transformations for reversible variable stepsize integration

被引:11
作者
Bond, SD [1 ]
Leimkuhler, BJ [1 ]
机构
[1] Univ Kansas, Dept Math, Lawrence, KS 66045 USA
关键词
adaptive Verlet method; time-reversible methods; adaptive timestepping; variable stepsize methods; N-body mechanical problems; scattering; Verlet;
D O I
10.1023/A:1019127111709
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The development of a Sundman-type time-transformation for reversible variable stepsize integration of few-body problems is discussed. While a time-transformation based on minimum particle separation is suitable if the collisions only occur pairwise and isolated in time, the control of stepsize is typically much more difficult for a three-body close approach. Nonetheless, we find that a suitable choice of time-transformation based on particle separation can work quite well for certain types of three-body simulations, particularly those involving very steep repulsive walls. We confirm these observations using numerical examples from Lennard-Jones scattering.
引用
收藏
页码:55 / 71
页数:17
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