{"title":"A domain decomposition parallelization scheme for the Poisson equation in particle-in-cell simulation","authors":"Renfan Mao , Junxue Ren , Haibin Tang , Zhihui Li","doi":"10.1016/j.cpc.2025.109527","DOIUrl":null,"url":null,"abstract":"<div><div>A novel domain decomposition parallelization scheme for solving the Poisson equation in explicit electrostatic particle-in-cell (PIC) plasma simulation is proposed in this paper. Using the Schwarz method, the original problem is transformed into a mapping process on a series of subsets of unknowns, thereby reducing the original problem to a problem with much fewer unknowns. The solver using this scheme will have explicit parallelism brought by domain decomposition and near theoretical scalability benefiting from low communication cost. A two-dimensional Poisson solver code is developed and a series of tests are implemented to verify its correctness and performance. This scheme can provide effective performance improvement for electrostatic PIC simulations.</div></div>","PeriodicalId":285,"journal":{"name":"Computer Physics Communications","volume":"310 ","pages":"Article 109527"},"PeriodicalIF":7.2000,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer Physics Communications","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S001046552500030X","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
A novel domain decomposition parallelization scheme for solving the Poisson equation in explicit electrostatic particle-in-cell (PIC) plasma simulation is proposed in this paper. Using the Schwarz method, the original problem is transformed into a mapping process on a series of subsets of unknowns, thereby reducing the original problem to a problem with much fewer unknowns. The solver using this scheme will have explicit parallelism brought by domain decomposition and near theoretical scalability benefiting from low communication cost. A two-dimensional Poisson solver code is developed and a series of tests are implemented to verify its correctness and performance. This scheme can provide effective performance improvement for electrostatic PIC simulations.
期刊介绍:
The focus of CPC is on contemporary computational methods and techniques and their implementation, the effectiveness of which will normally be evidenced by the author(s) within the context of a substantive problem in physics. Within this setting CPC publishes two types of paper.
Computer Programs in Physics (CPiP)
These papers describe significant computer programs to be archived in the CPC Program Library which is held in the Mendeley Data repository. The submitted software must be covered by an approved open source licence. Papers and associated computer programs that address a problem of contemporary interest in physics that cannot be solved by current software are particularly encouraged.
Computational Physics Papers (CP)
These are research papers in, but are not limited to, the following themes across computational physics and related disciplines.
mathematical and numerical methods and algorithms;
computational models including those associated with the design, control and analysis of experiments; and
algebraic computation.
Each will normally include software implementation and performance details. The software implementation should, ideally, be available via GitHub, Zenodo or an institutional repository.In addition, research papers on the impact of advanced computer architecture and special purpose computers on computing in the physical sciences and software topics related to, and of importance in, the physical sciences may be considered.