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Long-time simulation for a rigid body

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These function implement Lie integrators to perform long time simulation of a rigid body in a static spring-magnetic potential field. This numerical test of symplecticity is detailed in:

Bou-Rabee, N., Ortolan, G., and Saccon, A. [2010].
A counterexample showing the semi-explicit Lie-Newmark algorithm is not variational. (preprint).

Results show the following:
(i) VLV algorithm exhibits no energy drift;
(ii) Lie-Newmark algorithm exhibits energy drift; and,
(iii) `explicit' Lie-Midpoint algorithm exhibits energy drift.

File details:
- basicrunem.m: launches the Lie methods;
- NMB.m: semi-explicit Lie-Newmark algorithm;
- LIEMIDEA.m: explicit Lie-Midpoint algorithm;
- VLV.m: Lie-Verlet algorithm;
- wedge.m: hat map.

Free download from Shareware Connection - These function implement Lie integrators to perform long time simulation of a rigid body in a static spring-magnetic potential field

Publisher: Giulia Ortolan | License: Shareware
Version: 1.0 | Size: 10 KB | Platform: Matlab, Scripts
Released Date: 26-06-2013 | Rating: 0 | Title: Long-time simulation for a rigid body

Author Url: http://www.mathworks.com
Program Info Url: http://www.mathworks.com
Download Url: http://www.mathworks.com/matlabcentral/fx_files/27792/2/LieGroupMethods.zip

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