Leilei Chen, Haojie Lian, Ruijin Huo, Jing Du, Weisong Liu, Zhuxuan Meng, Stéphane P. A. Bordas
{"title":"Uncertainty analysis in acoustics: perturbation methods and isogeometric boundary element methods","authors":"Leilei Chen, Haojie Lian, Ruijin Huo, Jing Du, Weisong Liu, Zhuxuan Meng, Stéphane P. A. Bordas","doi":"10.1007/s00366-024-02018-7","DOIUrl":null,"url":null,"abstract":"<p>This study proposes a generalized <i>n</i>th-order perturbation method based on (isogeometric) boundary element methods for uncertainty analysis in 3D acoustic scattering problems. In this paper, for the first time, we derive <i>n</i>th-order Taylor expansions of 3D acoustic boundary integral equations, taking incident wave frequency as a random input variable. In addition, subdivision surface basis functions used in geometric modeling are employed to discretize the generalized <i>n</i>th-order derivative boundary integral equations, in order to avoid cumbersome meshing procedure and retain geometric accuracy. Moreover, the fast multipole method is introduced to accelerate the stochastic perturbation analysis with boundary element methods. Numerical examples are given to demonstrate the accuracy and efficiency of the proposed uncertainty quantification algorithm.</p>","PeriodicalId":11696,"journal":{"name":"Engineering with Computers","volume":"74 1","pages":""},"PeriodicalIF":8.7000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering with Computers","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s00366-024-02018-7","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
This study proposes a generalized nth-order perturbation method based on (isogeometric) boundary element methods for uncertainty analysis in 3D acoustic scattering problems. In this paper, for the first time, we derive nth-order Taylor expansions of 3D acoustic boundary integral equations, taking incident wave frequency as a random input variable. In addition, subdivision surface basis functions used in geometric modeling are employed to discretize the generalized nth-order derivative boundary integral equations, in order to avoid cumbersome meshing procedure and retain geometric accuracy. Moreover, the fast multipole method is introduced to accelerate the stochastic perturbation analysis with boundary element methods. Numerical examples are given to demonstrate the accuracy and efficiency of the proposed uncertainty quantification algorithm.
期刊介绍：
Engineering with Computers is an international journal dedicated to simulation-based engineering. It features original papers and comprehensive reviews on technologies supporting simulation-based engineering, along with demonstrations of operational simulation-based engineering systems. The journal covers various technical areas such as adaptive simulation techniques, engineering databases, CAD geometry integration, mesh generation, parallel simulation methods, simulation frameworks, user interface technologies, and visualization techniques. It also encompasses a wide range of application areas where engineering technologies are applied, spanning from automotive industry applications to medical device design.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
