{"title":"Two-Dimensional Pseudo-Steady Two-Phase Flow Around a Convex Corner","authors":"Zhijian Wei, Lihui Guo","doi":"10.1007/s10773-025-05899-6","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we investigate the problem of two-phase flow around the convex corner expanding into the vacuum. This flow is described as a compressible, inviscid, isentropic two-dimensional pseudo-steady two-phase flow model of drift-flux type with the logarithmic equation of state and the irrotational condition. Its solution can be obtained by solving Goursat problems, including the interaction between a centered simple wave and a backward planar rarefaction wave, as well as an inclined wall reflection problem. Moreover, the hyperbolicity, <span>\\(C^0\\)</span> and <span>\\(C^1\\)</span> estimates of this solution are obtained by the characteristic decomposition and the invariant region. Furthermore, some typical numerical simulations with specific initial conditions are offered.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10773-025-05899-6","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we investigate the problem of two-phase flow around the convex corner expanding into the vacuum. This flow is described as a compressible, inviscid, isentropic two-dimensional pseudo-steady two-phase flow model of drift-flux type with the logarithmic equation of state and the irrotational condition. Its solution can be obtained by solving Goursat problems, including the interaction between a centered simple wave and a backward planar rarefaction wave, as well as an inclined wall reflection problem. Moreover, the hyperbolicity, \(C^0\) and \(C^1\) estimates of this solution are obtained by the characteristic decomposition and the invariant region. Furthermore, some typical numerical simulations with specific initial conditions are offered.
期刊介绍：
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.
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