Timeline for Particle dynamics simulation and conservation of energy
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 11, 2013 at 7:05 | comment | added | Marco Disce | My point is this: there are dynamical systems which show asymptotic behaviors when t->infinity. For example: particles in a gas should expand to fill the available volume, planets should keep a bounded distance from the sun, conservative bouncing balls should have heights which oscillate between 0 and a fixed maximum... one important thing is that you will not notice accumulation of small errors if they don't lead to implausible long term behavior. So it may be important to preserve them even with bigger short term errors. | |
| Aug 11, 2013 at 4:17 | comment | added | Pieter Geerkens | @NathanReed: Without an explanation of the purpose of the simulation it is difficult to say. | |
| Aug 11, 2013 at 4:04 | comment | added | Nathan Reed | I think by "long-time behavior" he means something more along the lines of preserving invariants like total energy/momentum etc., than accuracy of raw predictions. For instance a simulated planet in orbit should remain in orbit, not crash into the star or escape the solar system, even if after a long time its predicted position diverges from its real one. | |
| Aug 11, 2013 at 2:15 | history | answered | Pieter Geerkens | CC BY-SA 3.0 |