In distributed implementations of memory-bound stencil AMR applications, the inter-node communication time often represents a major performance bottleneck. Thus minimizing communication is an objective as important as maintaining a good load balance. We propose a new domain partitioning method for block-based AMR applications based on the multi-phase-field (MPF) model. The MPF model for polycrystalline growth minimizes the interfacial energy and forms a convex shape for each crystal grain. In our method, each phase of the MPF model represents a computational sub-domain of each MPI process. We apply the proposed partitioning method to a block-based AMR application for an interface capturing on multiple GPUs. We measured the strong scalability up to 256 GPUs on the TSUBAME3.0 supercomputer at Tokyo Institute of Technology. The proposed MPF partitioning can successfully improve the strong scalability and reduce the communication cost of a block-based stencil AMR application.

在内存绑定模板AMR应用程序的分布式实现中，节点间的通信时间通常代表主要的性能瓶颈。因此，最小化通信与保持良好的负载平衡一样重要。我们提出了一种基于多相场（MPF）模型的基于块的AMR应用程序的新域划分方法。用于多晶生长的MPF模型使界面能最小化，并为每个晶粒形成凸形。在我们的方法中，MPF模型的每个阶段代表每个MPI进程的计算子域。我们将建议的分区方法应用于基于块的AMR应用程序，以在多个GPU上捕获接口。我们在东京工业大学的TSUBAME3.0超级计算机上测量了高达256个GPU的强大可扩展性。