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Time‐parallel implicit integrators for the near‐real‐time prediction of linear structural dynamic responses
Author(s) -
Farhat Charbel,
Cortial Julien,
Dastillung Climène,
Bavestrello Henri
Publication year - 2006
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.1653
Subject(s) - embarrassingly parallel , computer science , grid , context (archaeology) , instability , computational science , stability (learning theory) , parallel algorithm , integrator , algorithm , parallel computing , time complexity , time domain , mathematical optimization , mathematics , geometry , physics , mechanics , paleontology , computer network , bandwidth (computing) , machine learning , computer vision , biology
The time‐parallel framework for constructing parallel implicit time‐integration algorithms (PITA) is revisited in the specific context of linear structural dynamics and near‐real‐time computing. The concepts of decomposing the time‐domain in time‐slices whose boundaries define a coarse time‐grid, generating iteratively seed values of the solution on this coarse time‐grid, and using them to time‐advance the solution in each time‐slice with embarrassingly parallel time‐integrations are maintained. However, the Newton‐based corrections of the seed values, which so far have been computed in PITA and related approaches on the coarse time‐grid, are eliminated to avoid artificial resonance and numerical instability. Instead, the jumps of the solution on the coarse time‐grid are addressed by a projector which makes their propagation on the fine time‐grid computationally feasible while avoiding artificial resonance and numerical instability. The new PITA framework is demonstrated for a complex structural dynamics problem from the aircraft industry. Its potential for near‐real‐time computing is also highlighted with the solution of a relatively small‐scale problem on a Linux cluster system. Copyright © 2006 John Wiley & Sons, Ltd.