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

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 timeadvance 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.