{"title":"拐角问题为边界积分法","authors":"R. J. Sobey","doi":"10.1680/jencm.22.00046","DOIUrl":null,"url":null,"abstract":"A review of existing approaches to the accommodation of discontinuous corners in the boundary integral method highlights difficulties with corner-adjacent panel integration. An extended Laplace corner wedge is introduced to resolve these impediments, based on a bi-cubic approximation to the corner and corner-adjacent nodes. Numerical experiments demonstrate the excellent precision of the methodology.","PeriodicalId":54061,"journal":{"name":"Proceedings of the Institution of Civil Engineers-Engineering and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2023-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Corner problem for the boundary integral method\",\"authors\":\"R. J. Sobey\",\"doi\":\"10.1680/jencm.22.00046\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A review of existing approaches to the accommodation of discontinuous corners in the boundary integral method highlights difficulties with corner-adjacent panel integration. An extended Laplace corner wedge is introduced to resolve these impediments, based on a bi-cubic approximation to the corner and corner-adjacent nodes. Numerical experiments demonstrate the excellent precision of the methodology.\",\"PeriodicalId\":54061,\"journal\":{\"name\":\"Proceedings of the Institution of Civil Engineers-Engineering and Computational Mechanics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-05-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Institution of Civil Engineers-Engineering and Computational Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1680/jencm.22.00046\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ENGINEERING, CIVIL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Institution of Civil Engineers-Engineering and Computational Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1680/jencm.22.00046","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
A review of existing approaches to the accommodation of discontinuous corners in the boundary integral method highlights difficulties with corner-adjacent panel integration. An extended Laplace corner wedge is introduced to resolve these impediments, based on a bi-cubic approximation to the corner and corner-adjacent nodes. Numerical experiments demonstrate the excellent precision of the methodology.
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