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Energy conservative property of impulse‐based methods for collision resolution
Author(s) -
Tang XH,
Paluszny A,
Zimmerman R. W.
Publication year - 2013
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4537
Subject(s) - impulse (physics) , collision , computer science , mathematics , algorithm , physics , classical mechanics , computer security
SUMMARY Physical accuracy, numerical stability, and computational speed are critical factors in the simulation of collisions. The impulse‐based method models collisions in a system of rigid bodies in a relatively reliable and fast manner. In the present paper, evidence is presented for the energy‐conserving and momentum‐conserving properties of the method. Two different impulse‐based approaches are validated using numerical tests. A necessary condition is proposed for the impulse‐based method to be energy conservative. Results indicate that the impulse‐based method for collision simulation, which satisfies the proposed condition, is energy conservative. Copyright © 2013 John Wiley & Sons, Ltd.