A fast scalable implicit solver for nonlinear time-evolution earthquake city problem on low-ordered unstructured finite elements with artificial intelligence and transprecision computing

Tsuyoshi Ichimura, Kohei Fujita, Takuma Yamaguchi, Akira Naruse, Jack C. Wells, Thomas C. Schulthess, Tjerk P. Straatsma, Christopher J. Zimmer, Maxime Martinasso, Kengo Nakajima, Muneo Hori, Lalith Maddegedara

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

40 Scopus citations

Abstract

To address problems that occur due to earthquake in urban areas, we propose a method that utilizes artificial intelligence (AI) and transprecision computing to accelerate a nonlinear dynamic low-order unstructured finite-element solver. The AI is used to improve the convergence of iterative solver leading to 5.56-fold reduction in arithmetic count from a standard solver, and FP16-FP21-FP32-FP64 computing is used to accelerate the sparse matrix-vector product kernel, which demonstrated 71.4% peak FP64 performance on Summit. This is 25.3 times faster than a standard solver and 3.99 times faster than the state-of-the-art SC14 Gordon Bell Finalist solver. Furthermore, the proposed solver demonstrated high scalability (88.8% on the K computer and 89.5% on Piz Daint), leading to 14.7% peak FP64 performance on 4096 nodes of Summit. The proposed approach utilizing AI and FP16 arithmetic has implications for accelerating other implicit solvers used for earthquake city simulations as well as various fields.

Original languageEnglish
Title of host publicationProceedings - International Conference for High Performance Computing, Networking, Storage, and Analysis, SC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages627-637
Number of pages11
ISBN (Electronic)9781538683842
DOIs
StatePublished - Jul 2 2018
Event2018 International Conference for High Performance Computing, Networking, Storage, and Analysis, SC 2018 - Dallas, United States
Duration: Nov 11 2018Nov 16 2018

Publication series

NameProceedings - International Conference for High Performance Computing, Networking, Storage, and Analysis, SC 2018

Conference

Conference2018 International Conference for High Performance Computing, Networking, Storage, and Analysis, SC 2018
Country/TerritoryUnited States
CityDallas
Period11/11/1811/16/18

Funding

Our results were obtained using the Summit at Oak Ridge Leadership Computing Facility, a US Department of Energy, Office of Science User Facility at Oak Ridge National Laboratory (ORNL), Piz Daint at Swiss National Supercomputing Centre (CSCS), and K computer at RIKEN Center for Computational Science (R-CCS, proposal numbers: hp170249, hp180217). We thank Yukihiko Hirano (NVIDlA) for coordination of the collaborative research project. We thank Christopher B. Fuson, Don E. Maxwell, Oscar Hernandez, Scott Atchley, Veronica Melesse-Vergara (ORNL), Jeff Larkin, Stephen Abbott (NVIDlA), Lixiang Luo (IBM), Richard Graham (Mellanox Technologies) for generous support concerning use of Summit. We thank Andreas Jocksch, Luca Marsella, Victor Holanda, Maria Grazia Giuffreda (CSCS) for generous support concerning use of Piz Daint. We thank the Operations and Computer Technologies Division of R-CCS and the High Performance Computing Infrastructure helpdesk for generous support concerning use of K computer. We thank Sachiko Hayashi of Cybernet Systems Co., Ltd. for support in visualizing the application example. We acknowledge support from Post K computer project [30] (Priority Issue 3 Development of integrated simulation systems for hazards and disasters induced by earthquakes and tsunamis) and Japan Society for the Promotion of Science (18H05239, 26249066, 25220908, and 17K14719).

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