{"title":"时变双曲系统的远场边界条件","authors":"B. Gustafsson","doi":"10.1137/0909054","DOIUrl":null,"url":null,"abstract":"We consider hyperbolic systems on an infinite domain. For computational reasons the domain is truncated and we develop boundary conditions at the far-field boundaries. The initial function is nonzero also outside the computational domain. The implementation is done such that instabilities are avoided. The conditions are applied to the Euler equations and numerical experiments are presented.","PeriodicalId":200176,"journal":{"name":"Siam Journal on Scientific and Statistical Computing","volume":"42 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"42","resultStr":"{\"title\":\"Far-Field Boundary Conditions for Time-Dependent Hyperbolic Systems\",\"authors\":\"B. Gustafsson\",\"doi\":\"10.1137/0909054\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider hyperbolic systems on an infinite domain. For computational reasons the domain is truncated and we develop boundary conditions at the far-field boundaries. The initial function is nonzero also outside the computational domain. The implementation is done such that instabilities are avoided. The conditions are applied to the Euler equations and numerical experiments are presented.\",\"PeriodicalId\":200176,\"journal\":{\"name\":\"Siam Journal on Scientific and Statistical Computing\",\"volume\":\"42 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"42\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Siam Journal on Scientific and Statistical Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1137/0909054\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siam Journal on Scientific and Statistical Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1137/0909054","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Far-Field Boundary Conditions for Time-Dependent Hyperbolic Systems
We consider hyperbolic systems on an infinite domain. For computational reasons the domain is truncated and we develop boundary conditions at the far-field boundaries. The initial function is nonzero also outside the computational domain. The implementation is done such that instabilities are avoided. The conditions are applied to the Euler equations and numerical experiments are presented.
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