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Spectral Element Simulations on the NEC SX-Aurora TSUBASA

Type

Best practice

Description

Following the recent transition in the high performance computing landscape to more heterogeneous architectures, application developers are faced with the challenge of ensuring good performance across a diverse set of platforms. In this paper, we present our work on porting the spectral element code Nek5000 to the recent vector architecture SX-Aurora TSUBASA. Using Nek5000’s mini-app Nekbone, we formulate suitable loop transformations in key kernels, allowing for better vectorization, increasing the baseline performance by a factor of six. Using the new transformations, we demonstrate that the main compute intensive matrix-vector and matrix-matrix multiplication kernels achieves close to half the peak performance of a SX-Aurora core. Our work also addresses the gather-scatter operations, a key kernel for efficient matrix-free spectral element formulation. We introduce a new implementation of Nek5000’s gather-scatter library with mesh topology awareness for improved vectorization via exploitation of the SX-Aurora’s hardware gather-scatter instructions, improving performance with up to 116%. A detailed description of the implementation is given together with a performance study, comparing both single node performance and strong scalability characteristics, running across multiple SX-Aurora cards.

Web-url

https://dl.acm.org/doi/pdf/10.1145/3432261.3432265

License

ACM