Delta-shock for a class of strictly hyperbolic systems of conservation laws

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-05-17 DOI:10.1515/ijnsns-2021-0299

Shiwei Li

引用次数: 0

Abstract

Abstract In this paper, a class of strictly hyperbolic systems of conservation laws which arises in connection with enhanced oil recovery is studied. The Riemann problem is solved analytically. The Riemann solutions with two kinds of different structures involving the delta-shock are obtained. For delta-shock, the generalized Rankine–Hugoniot relations and over-compressive delta-entropy condition are clarified. Further, the existence and uniqueness of delta-shock are established. The theoretical analysis is tested accurately by the numerical results.

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一类严格双曲守恒律系统的Delta冲击

摘要本文研究了一类与提高采收率有关的严格双曲守恒律系统。黎曼问题是解析求解的。得到了两种不同结构的三角形激波的黎曼解。对于delta冲击，阐明了广义Rankine–Hugoniot关系和过压缩delta熵条件。进一步证明了德尔塔冲击的存在性和唯一性。数值结果准确地检验了理论分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Nonlinear Sciences and Numerical Simulation 工程技术-工程：综合

CiteScore

2.80

自引率

6.70%

发文量

117

审稿时长

13.7 months

期刊介绍： The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.