A time‐parallel implicit method for accelerating the solution of non‐linear structural dynamics problems
A time‐parallel implicit method for accelerating the solution of non‐linear structural dynamics problems
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DOI：
10.1002/nme.2418
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发表时间：
2009-01
影响因子：
2.9
通讯作者：
J. Cortial;C. Farhat
中科院分区：
文献类型：
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作者：
J. Cortial;C. Farhat
并行隐式时间积分算法（PITA）是非常有限的时间积分器之一，已成功应用于线性二阶双曲问题的时间并行求解，例如结构动力学中遇到的问题。时间并行对于快速计算至关重要，例如，当空间并行不可行时，如一般自由度相对较少的问题，特别是降阶模型应用，或者当需要达到尽可能快的CPU时间时，需要利用空间和时间并行。本文将以前开发的PITA扩展到非线性情况。它还展示了它的应用程序，以减少时间的解决方案上的一个Linux集群的样本非线性结构动力学问题。版权所有© 2008约翰威利父子有限公司。
The parallel implicit time‐integration algorithm (PITA) is among a very limited number of time‐integrators that have been successfully applied to the time‐parallel solution of linear second‐order hyperbolic problems such as those encountered in structural dynamics. Time‐parallelism can be of paramount importance to fast computations, for example, when space‐parallelism is unfeasible as in problems with a relatively small number of degrees of freedom in general, and reduced‐order model applications in particular, or when reaching the fastest possible CPU time is desired and requires the exploitation of both space‐ and time‐parallelisms. This paper extends the previously developed PITA to the non‐linear case. It also demonstrates its application to the reduction of the time‐to‐solution on a Linux cluster of sample non‐linear structural dynamics problems. Copyright © 2008 John Wiley & Sons, Ltd.