Abstract / Description of output
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.
Original language | English |
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Pages (from-to) | 55-71 |
Number of pages | 17 |
Journal | Numerical Algorithms |
Volume | 19 |
Issue number | 1-4 |
DOIs | |
Publication status | Published - 1998 |
Keywords / Materials (for Non-textual outputs)
- Adaptive timestepping
- Adaptive verlet method
- N-body mechanical problems
- Scattering
- Time-reversible methods
- Variable stepsize methods
- Verlet