{"title":"PyAdMesh: A novel high-performance software for adaptive finite element analysis","authors":"S. Asil Gharebaghi, A.H. Khatami","doi":"10.1016/j.simpat.2025.103074","DOIUrl":null,"url":null,"abstract":"<div><div>This study introduces <span>PyAdMesh</span>, an open-source software for reducing discretization errors in finite element analysis using an h-adaptive method. Adaptive approaches iteratively refine meshes to minimize errors but require substantial computational resources due to repeated analyses. <span>PyAdMesh</span> addresses this challenge by employing efficient data transfer operators for displacement, stress, and strain, avoiding full reanalysis. The software achieves performance gains through parallel processing on CPU and GPU, leveraging <span>CuPy</span>, <span>Numba</span>, and Python’s <span>multiprocessing</span> library. GPU parallelization achieves speed-ups of 30 times compared to serial execution, while CPU parallelization yields an 8-fold improvement. <span>PyAdMesh</span> reduces discretization error from <span>5.5</span>% to <span>0.07</span>% using a recovery-based error estimation method. Despite low-end hardware, including an <em>Intel Xeon 6148</em> CPU and <em>NVIDIA Quadro P4000</em> GPU, the software demonstrates significant potential for adaptive finite element analysis. Future studies should explore its performance on high-end hardware. This work highlights <span>PyAdMesh</span>’s potential for large-scale engineering simulations, balancing computational efficiency and accuracy.</div></div>","PeriodicalId":49518,"journal":{"name":"Simulation Modelling Practice and Theory","volume":"140 ","pages":"Article 103074"},"PeriodicalIF":3.5000,"publicationDate":"2025-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Simulation Modelling Practice and Theory","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1569190X25000097","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
This study introduces PyAdMesh, an open-source software for reducing discretization errors in finite element analysis using an h-adaptive method. Adaptive approaches iteratively refine meshes to minimize errors but require substantial computational resources due to repeated analyses. PyAdMesh addresses this challenge by employing efficient data transfer operators for displacement, stress, and strain, avoiding full reanalysis. The software achieves performance gains through parallel processing on CPU and GPU, leveraging CuPy, Numba, and Python’s multiprocessing library. GPU parallelization achieves speed-ups of 30 times compared to serial execution, while CPU parallelization yields an 8-fold improvement. PyAdMesh reduces discretization error from 5.5% to 0.07% using a recovery-based error estimation method. Despite low-end hardware, including an Intel Xeon 6148 CPU and NVIDIA Quadro P4000 GPU, the software demonstrates significant potential for adaptive finite element analysis. Future studies should explore its performance on high-end hardware. This work highlights PyAdMesh’s potential for large-scale engineering simulations, balancing computational efficiency and accuracy.
期刊介绍:
The journal Simulation Modelling Practice and Theory provides a forum for original, high-quality papers dealing with any aspect of systems simulation and modelling.
The journal aims at being a reference and a powerful tool to all those professionally active and/or interested in the methods and applications of simulation. Submitted papers will be peer reviewed and must significantly contribute to modelling and simulation in general or use modelling and simulation in application areas.
Paper submission is solicited on:
• theoretical aspects of modelling and simulation including formal modelling, model-checking, random number generators, sensitivity analysis, variance reduction techniques, experimental design, meta-modelling, methods and algorithms for validation and verification, selection and comparison procedures etc.;
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• simulation languages and environments including those, specific to distributed computing, grid computing, high performance computers or computer networks, etc.;
• distributed and real-time simulation, simulation interoperability;
• tools for high performance computing simulation, including dedicated architectures and parallel computing.