{"title":"使用缩放边界有限元法对波在无界域中的传播进行显式时域分析","authors":"","doi":"10.1016/j.enganabound.2024.105891","DOIUrl":null,"url":null,"abstract":"<div><p>This study proposes an explicit time-integration scheme for the scaled boundary finite element method applied to unbounded domains, leveraging the acceleration unit-impulse response formulation and a block-wise mass lumping strategy to enhance computational efficiency. Additionally, adopting an extrapolation scheme in the calculation of the linearly varying acceleration response and exploiting the asymptotically linear behavior by truncating the convolution integral leads to a robust and efficient explicit time-integration scheme. The proposed methodology is validated through numerical examples, demonstrating its potential for large-scale wave propagation problems in unbounded and heterogeneous media.</p></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":null,"pages":null},"PeriodicalIF":4.2000,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0955799724003655/pdfft?md5=e502f21c79fb12a66816fe14d3e5fc68&pid=1-s2.0-S0955799724003655-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Explicit time-domain analysis of wave propagation in unbounded domains using the scaled boundary finite element method\",\"authors\":\"\",\"doi\":\"10.1016/j.enganabound.2024.105891\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This study proposes an explicit time-integration scheme for the scaled boundary finite element method applied to unbounded domains, leveraging the acceleration unit-impulse response formulation and a block-wise mass lumping strategy to enhance computational efficiency. Additionally, adopting an extrapolation scheme in the calculation of the linearly varying acceleration response and exploiting the asymptotically linear behavior by truncating the convolution integral leads to a robust and efficient explicit time-integration scheme. The proposed methodology is validated through numerical examples, demonstrating its potential for large-scale wave propagation problems in unbounded and heterogeneous media.</p></div>\",\"PeriodicalId\":51039,\"journal\":{\"name\":\"Engineering Analysis with Boundary Elements\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.2000,\"publicationDate\":\"2024-09-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0955799724003655/pdfft?md5=e502f21c79fb12a66816fe14d3e5fc68&pid=1-s2.0-S0955799724003655-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Engineering Analysis with Boundary Elements\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0955799724003655\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Analysis with Boundary Elements","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0955799724003655","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}
Explicit time-domain analysis of wave propagation in unbounded domains using the scaled boundary finite element method
This study proposes an explicit time-integration scheme for the scaled boundary finite element method applied to unbounded domains, leveraging the acceleration unit-impulse response formulation and a block-wise mass lumping strategy to enhance computational efficiency. Additionally, adopting an extrapolation scheme in the calculation of the linearly varying acceleration response and exploiting the asymptotically linear behavior by truncating the convolution integral leads to a robust and efficient explicit time-integration scheme. The proposed methodology is validated through numerical examples, demonstrating its potential for large-scale wave propagation problems in unbounded and heterogeneous media.
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.