{"title":"无限深度二维水波问题的扩展宽间距近似","authors":"P. Mciver","doi":"10.1093/QJMAM/HBU013","DOIUrl":null,"url":null,"abstract":"This paper considers the wide-spacing approximation when applied to twodimensional linear problems involving the scattering and radiation of water waves by structures in a fluid of infinite depth. The approximation is set into the context of a formal expansion procedure and an extended approximation is obtained. The extended approximation significantly improves the accuracy of calculations for submerged structures when compared with the standard approximation procedure based on plane-wave interactions.","PeriodicalId":56087,"journal":{"name":"Quarterly Journal of Mechanics and Applied Mathematics","volume":"67 1","pages":"445-468"},"PeriodicalIF":0.8000,"publicationDate":"2014-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/QJMAM/HBU013","citationCount":"5","resultStr":"{\"title\":\"An extended wide-spacing approximation for two-dimensional water-wave problems in infinite depth\",\"authors\":\"P. Mciver\",\"doi\":\"10.1093/QJMAM/HBU013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper considers the wide-spacing approximation when applied to twodimensional linear problems involving the scattering and radiation of water waves by structures in a fluid of infinite depth. The approximation is set into the context of a formal expansion procedure and an extended approximation is obtained. The extended approximation significantly improves the accuracy of calculations for submerged structures when compared with the standard approximation procedure based on plane-wave interactions.\",\"PeriodicalId\":56087,\"journal\":{\"name\":\"Quarterly Journal of Mechanics and Applied Mathematics\",\"volume\":\"67 1\",\"pages\":\"445-468\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2014-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1093/QJMAM/HBU013\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quarterly Journal of Mechanics and Applied Mathematics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1093/QJMAM/HBU013\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quarterly Journal of Mechanics and Applied Mathematics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1093/QJMAM/HBU013","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
An extended wide-spacing approximation for two-dimensional water-wave problems in infinite depth
This paper considers the wide-spacing approximation when applied to twodimensional linear problems involving the scattering and radiation of water waves by structures in a fluid of infinite depth. The approximation is set into the context of a formal expansion procedure and an extended approximation is obtained. The extended approximation significantly improves the accuracy of calculations for submerged structures when compared with the standard approximation procedure based on plane-wave interactions.
期刊介绍：
The Quarterly Journal of Mechanics and Applied Mathematics publishes original research articles on the application of mathematics to the field of mechanics interpreted in its widest sense. In addition to traditional areas, such as fluid and solid mechanics, the editors welcome submissions relating to any modern and emerging areas of applied mathematics.
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