{"title":"关于戈杜诺夫的有趣系统类别 - 气体动力学的对称双曲欧拉方程","authors":"Gerald Warnecke","doi":"10.1016/j.jcp.2024.113588","DOIUrl":null,"url":null,"abstract":"<div><div>In 1961 Godunov wrote a very interesting seminal paper <span><span>[24]</span></span> on how to obtain positive symmetric systems of equations in the sense of Friedrichs <span><span>[21]</span></span>. The examples were Euler-Lagrange equations from the calculus of variations, equations of crystal optics and gas dynamics. This review is a survey of the method in application to the hyperbolic conservation laws of gas dynamics, the Euler equations.</div></div>","PeriodicalId":352,"journal":{"name":"Journal of Computational Physics","volume":"522 ","pages":"Article 113588"},"PeriodicalIF":3.8000,"publicationDate":"2024-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Godunov's interesting class of systems - The symmetric hyperbolic Euler equations of gas dynamics\",\"authors\":\"Gerald Warnecke\",\"doi\":\"10.1016/j.jcp.2024.113588\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In 1961 Godunov wrote a very interesting seminal paper <span><span>[24]</span></span> on how to obtain positive symmetric systems of equations in the sense of Friedrichs <span><span>[21]</span></span>. The examples were Euler-Lagrange equations from the calculus of variations, equations of crystal optics and gas dynamics. This review is a survey of the method in application to the hyperbolic conservation laws of gas dynamics, the Euler equations.</div></div>\",\"PeriodicalId\":352,\"journal\":{\"name\":\"Journal of Computational Physics\",\"volume\":\"522 \",\"pages\":\"Article 113588\"},\"PeriodicalIF\":3.8000,\"publicationDate\":\"2024-11-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Computational Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021999124008362\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021999124008362","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
On Godunov's interesting class of systems - The symmetric hyperbolic Euler equations of gas dynamics
In 1961 Godunov wrote a very interesting seminal paper [24] on how to obtain positive symmetric systems of equations in the sense of Friedrichs [21]. The examples were Euler-Lagrange equations from the calculus of variations, equations of crystal optics and gas dynamics. This review is a survey of the method in application to the hyperbolic conservation laws of gas dynamics, the Euler equations.
期刊介绍：
Journal of Computational Physics thoroughly treats the computational aspects of physical problems, presenting techniques for the numerical solution of mathematical equations arising in all areas of physics. The journal seeks to emphasize methods that cross disciplinary boundaries.
The Journal of Computational Physics also publishes short notes of 4 pages or less (including figures, tables, and references but excluding title pages). Letters to the Editor commenting on articles already published in this Journal will also be considered. Neither notes nor letters should have an abstract.
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