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Analysis and implementation of a new constant acceleration subcycling algorithm
Author(s) -
Daniel W. J. T.
Publication year - 1997
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/(sici)1097-0207(19970815)40:15<2841::aid-nme193>3.0.co;2-s
Subject(s) - acceleration , integer (computer science) , constant (computer programming) , algorithm , stability (learning theory) , mathematics , interface (matter) , running time , computer science , parallel computing , physics , classical mechanics , programming language , bubble , machine learning , maximum bubble pressure method
An algorithm for explicit integration of structural dynamics problems with multiple time steps is proposed that averages accelerations to obtain subcycle states at a nodal interface between regions integrated with different time steps. With integer time step ratios, the resulting subcycle updates at the interface sum to give the same effect as a central difference update over a major cycle. The algorithm is shown to have good accuracy, and stability properties in linear elastic analysis similar to those of constant velocity subcycling algorithms. The implementation of a generalised form of the algorithm with non‐integer time step ratios is presented. © 1997 John Wiley & Sons, Ltd.