Enhancing the Nektar plus plus spectral/hp element framework for parallel-in-time simulations

doi:10.1016/j.cpc.2025.109584

2025-07-01

Jacques Y. Xing *

Chris D. Cantwell

David Moxey

DOI：10.1016/j.cpc.2025.109584

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摘要

En 中文

我们描述了在Nektar ++软件中对Parareal算法的高效实现，该软件是一个开源的谱/hp元框架，用于求解偏微分方程，其设计旨在通过分布式并行性在高性能计算（HPC）集群上实现高可扩展性。最近，时间并行积分技术正被认可为一种潜在解决方案，以在纯空间域分解获得的强缩放限制之外进一步增加并发性和计算加速。在文献中提出的各种时间并行方法中，Parareal算法是一种非侵入式且迭代的方法，利用精细和粗略求解器实现时间并行性，并可应用于线性和非线性问题。我们讨论了实现的细节，并讨论了用于将代码适配到时间并行框架的具体技术。我们展示了将这些方法应用于Nektar ++现有求解器提供的多个线性和非线性问题的应用。

Keyword:

Parallel-in-time

Parareal

Spectral/hp element

Discontinuous Galerkin

Nektar plus plus

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期刊

Computer Physics Communications

IF:

3.4

论文数:

1.2W

被引数:

3.7W

机构

Kings Coll London

学者数:

2.0K

论文数: 1.3K

被引数: 377

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