A fast bond-based peridynamic program based on GPU parallel computing

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Engineering Analysis with Boundary Elements Pub Date : 2025-01-29 DOI:10.1016/j.enganabound.2025.106133

Yang Yang , Zixin Su , Yijun Liu

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Abstract

Peridynamic is an effective method for addressing fracture problems. However, the non-local theory makes it time-consuming. Although some techniques have been developed to improve computational efficiency, the acceleration effect remains relatively limited. This paper introduces a parallel algorithm for bond-based peridynamic using the GPU parallel CUDA programming technology. The calculation process is divided into functions with material points and bonds as the smallest calculation units. The loop of material points and bonds is changed to the index to achieve parallelism. A general horizon generation module is established to optimize storage. Additionally, a general register technique is proposed for high-speed access register memory to reduce global memory access. This technique not only eliminates the restriction on the number of horizon points, also suitable for nonuniform distribution of material points. Compared to serial and OpenMP parallel programs, the present algorithm can achieve up to 800-fold and 100-fold acceleration, respectively. In a typical simulation of one million particles, executing 4000 iterations can be completed in 5 minutes for single precision and 20 minutes for double precision on a low-end GPU PC.

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基于GPU并行计算的快速键合动态程序

围动力学是解决断裂问题的有效方法。然而，非局域理论使得它非常耗时。虽然已经开发了一些技术来提高计算效率，但加速效应仍然相对有限。本文介绍了一种基于GPU并行CUDA编程技术的基于键合的周动力学并行算法。计算过程分为函数，以材料点和键为最小的计算单位。将材料点和键的环改为索引以实现平行度。为了优化存储，建立了通用的水平生成模块。此外，提出了一种通用寄存器技术用于高速存取寄存器存储器，以减少全局存储器的访问。该方法不仅消除了视界点数量的限制，而且适用于材料点的非均匀分布。与串行和OpenMP并行程序相比，本算法可以分别实现高达800倍和100倍的加速。在典型的百万粒子模拟中，在低端GPU PC上，单精度可在5分钟内完成4000次迭代，双精度可在20分钟内完成。

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.