Advertisement

Time-parallel implicit integrators for the near-real-time prediction of linear structural dynamic responses

Authors

  • Charbel Farhat,

    Corresponding author
    1. Department of Mechanical Engineering and Institute for Computational and Mathematical Engineering, Stanford University, Mail Code 3035, Stanford, CA 94305, U.S.A.
    • Department of Mechanical Engineering and Institute for Computational and Mathematical Engineering, Stanford University, Mail Code 3035, Stanford, CA 94305, U.S.A.
    Search for more papers by this author
  • Julien Cortial,

    1. Department of Mechanical Engineering and Institute for Computational and Mathematical Engineering, Stanford University, Mail Code 3035, Stanford, CA 94305, U.S.A.
    Search for more papers by this author
  • Climène Dastillung,

    1. Ecole Nationale des Ponts et Chaussées, France
    Search for more papers by this author
  • Henri Bavestrello

    1. Department of Mechanical Engineering and Institute for Computational and Mathematical Engineering, Stanford University, Mail Code 3035, Stanford, CA 94305, U.S.A.
    Search for more papers by this author

Abstract

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.

Ancillary