加速波与包含可变源项的两相实际修正查普里金模型中的特征冲击波的相互作用

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation Pub Date : 2024-10-31 DOI:10.1016/j.matcom.2024.10.028

Deepika Sharma, Randheer Singh

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引用次数: 0

摘要

在本手稿中，我们考虑了一个数学模型，该模型描述了带有非恒定源项的等熵两相实际修正查普里金流。通过李对称分析，将偏微分方程（PDE）系统支配的模型简化为等效的常微分方程（ODE）系统。推导出了特征冲击波和加速波的传输方程，分析了它们的演化行为，并对 ODE 系统进行了数值求解。特别注意研究了非理想性和源项对特征冲击波和加速度波进展的影响。此外，还计算了特征波与加速波相互作用产生的反射波、透射波和冲击加速度跃变的振幅。

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Interaction of an acceleration wave with a characteristic shock in two-phase real modified Chaplygin model containing a variable source term

In this manuscript, a mathematical model describing isentropic two-phase real modified Chaplygin flow with a non-constant source term has been considered. The model governed by the system of partial differential equations (PDEs) is reduced into an equivalent system of ordinary differential equations (ODEs) via Lie-symmetry analysis. The transport equations for the characteristic shock and acceleration wave are derived to analyze their evolutionary behavior and solved numerically along with the system of ODEs. Special attention is devoted to investigate the effects of non-idealness and source term on the progression of characteristic shock and acceleration wave. Moreover, the amplitude of the reflected wave, transmitted wave and jump in the acceleration of shock, generated from the interaction of characteristic with acceleration wave, are computed.

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来源期刊

Mathematics and Computers in Simulation 数学-计算机：跨学科应用

CiteScore

8.90

自引率

4.30%

发文量

335

审稿时长

54 days

期刊介绍： The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles. Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO. Topics covered by the journal include mathematical tools in: •The foundations of systems modelling •Numerical analysis and the development of algorithms for simulation They also include considerations about computer hardware for simulation and about special software and compilers. The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research. The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.