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

IF 3.8 2区物理与天体物理 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Computational Physics Pub Date : 2024-11-17 DOI:10.1016/j.jcp.2024.113588

Gerald Warnecke

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引用次数: 0

摘要

1961 年，戈杜诺夫撰写了一篇非常有趣的开创性论文[24]，论述了如何在弗里德里希斯[21]的意义上获得正对称方程组。其中的例子包括变分学中的欧拉-拉格朗日方程、晶体光学方程和气体动力学方程。这篇综述是对该方法在气体动力学双曲守恒定律--欧拉方程--中应用的考察。

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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.

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来源期刊

Journal of Computational Physics 物理-计算机：跨学科应用

CiteScore

7.60

自引率

14.60%

发文量

763

审稿时长

5.8 months

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.