{"title":"A fast bond-based peridynamic program based on GPU parallel computing","authors":"Yang Yang , Zixin Su , Yijun Liu","doi":"10.1016/j.enganabound.2025.106133","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"172 ","pages":"Article 106133"},"PeriodicalIF":4.2000,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Analysis with Boundary Elements","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0955799725000219","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
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.
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.