A micro-macro variant of the parallel-in-time algorithm Parareal has been applied to the ocean-circulation and sea-ice model model FESOM2. The state-of-the-art software in climate research has been developed by the Alfred-Wegener-Institut (AWI) in Bremen, Germany. The algorithm requires two meshes of low and high spatial resolution to define the coarse and fine propagator. As a first assessment we refined the PI mesh, increasing its resolution by factor 4. The main objective of this study was to demonstrate that micro-macro Parareal can provide convergence in diagnostic variables in complex climate research problems. After the introduction to FESOM2 we show how to generate the refined mesh and which interpolation methods were chosen. With the convergence results presented we discuss the success of this attempt and which steps have to be taken to extend the approach to current research problems.
翻译:针对海洋环流与海冰模型FESOM2,本文实现了并行时间算法Parareal的微观-宏观变体。该气候研究领域的前沿软件由德国不来梅阿尔弗雷德·魏格纳研究所(AWI)开发。该算法需要采用低、高两种空间分辨率网格分别定义粗传播子和细传播子。作为初步评估,我们将PI网格的空间分辨率提高了4倍。本研究主要旨在论证微宏观帕拉雷尔方法能够在复杂气候研究问题中实现诊断变量的收敛。在介绍FESOM2之后,我们展示了细化网格的生成方法及所选用的插值方案。基于收敛结果,我们探讨了该方法的成功之处,并阐述了将该方法推广至当前研究问题所需采取的后续步骤。