MPI/OpenMP-Based Parallel Solver for Imprint Forming Simulation  

作　　者：Yang Li Jiangping Xu Yun Liu Wen Zhong Fei Wang 

机构地区：[1]School of Mechanical Engineering,Jiangsu University,Zhenjiang,212016,China [2]School of Mechanical Engineering,Wuhan Polytechnic University,Wuhan,430023,China [3]Shenyang Mint Company Limited,Shenyang,110092,China

出　　处：《Computer Modeling in Engineering & Sciences》2024年第7期461-483,共23页工程与科学中的计算机建模（英文）

基　　金：supported by the fund from ShenyangMint Company Limited(No.20220056);Senior Talent Foundation of Jiangsu University(No.19JDG022);Taizhou City Double Innovation and Entrepreneurship Talent Program(No.Taizhou Human Resources Office[2022]No.22).

摘　　要：In this research,we present the pure open multi-processing(OpenMP),pure message passing interface(MPI),and hybrid MPI/OpenMP parallel solvers within the dynamic explicit central difference algorithm for the coining process to address the challenge of capturing fine relief features of approximately 50 microns.Achieving such precision demands the utilization of at least 7 million tetrahedron elements,surpassing the capabilities of traditional serial programs previously developed.To mitigate data races when calculating internal forces,intermediate arrays are introduced within the OpenMP directive.This helps ensure proper synchronization and avoid conflicts during parallel execution.Additionally,in the MPI implementation,the coins are partitioned into the desired number of regions.This division allows for efficient distribution of computational tasks across multiple processes.Numerical simulation examples are conducted to compare the three solvers with serial programs,evaluating correctness,acceleration ratio,and parallel efficiency.The results reveal a relative error of approximately 0.3%in forming force among the parallel and serial solvers,while the predicted insufficient material zones align with experimental observations.Additionally,speedup ratio and parallel efficiency are assessed for the coining process simulation.The pureMPI parallel solver achieves a maximum acceleration of 9.5 on a single computer(utilizing 12 cores)and the hybrid solver exhibits a speedup ratio of 136 in a cluster(using 6 compute nodes and 12 cores per compute node),showing the strong scalability of the hybrid MPI/OpenMP programming model.This approach effectively meets the simulation requirements for commemorative coins with intricate relief patterns.

关 键 词：Hybrid MPI/OpenMP parallel computing MPI OPENMP imprint forming 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论]