{"title":"一种新的混合AUSM+ Liou格式:混合Van Leer通量分裂的扩展","authors":"Pascal Ferrand, Stéphane Aubert","doi":"10.1016/S1251-8069(97)86946-1","DOIUrl":null,"url":null,"abstract":"<div><p>The upwind schemes are well suited to inviscid transonic flow but not to viscous flow. It is the opposite for central schemes. This paper presents a new approach which combines the central scheme and the upwind scheme. Liou's flux splitting is selected to define this new mixed AUSM<sup>+</sup> Liou scheme. The results, obtained on supersonic viscous configuration, are compared to other schemes' results and to semi-empirical results. These calculations show the benefit of the present approach.</p></div>","PeriodicalId":100304,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy","volume":"326 1","pages":"Pages 5-11"},"PeriodicalIF":0.0000,"publicationDate":"1998-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1251-8069(97)86946-1","citationCount":"2","resultStr":"{\"title\":\"A new mixed AUSM+ Liou scheme: an extension of the mixed Van Leer flux splitting\",\"authors\":\"Pascal Ferrand, Stéphane Aubert\",\"doi\":\"10.1016/S1251-8069(97)86946-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The upwind schemes are well suited to inviscid transonic flow but not to viscous flow. It is the opposite for central schemes. This paper presents a new approach which combines the central scheme and the upwind scheme. Liou's flux splitting is selected to define this new mixed AUSM<sup>+</sup> Liou scheme. The results, obtained on supersonic viscous configuration, are compared to other schemes' results and to semi-empirical results. These calculations show the benefit of the present approach.</p></div>\",\"PeriodicalId\":100304,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy\",\"volume\":\"326 1\",\"pages\":\"Pages 5-11\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S1251-8069(97)86946-1\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1251806997869461\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1251806997869461","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A new mixed AUSM+ Liou scheme: an extension of the mixed Van Leer flux splitting
The upwind schemes are well suited to inviscid transonic flow but not to viscous flow. It is the opposite for central schemes. This paper presents a new approach which combines the central scheme and the upwind scheme. Liou's flux splitting is selected to define this new mixed AUSM+ Liou scheme. The results, obtained on supersonic viscous configuration, are compared to other schemes' results and to semi-empirical results. These calculations show the benefit of the present approach.
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