无梯度突变的一维气体动力学方程组精确解的构造

IF 1 4区工程技术 Q4 MECHANICS

Fluid Dynamics Pub Date : 2023-05-02 DOI:10.1134/S0015462822601899

A. V. Aksenov, K. P. Druzhkov

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引用次数: 0

摘要

考虑了描述一维多向气体流动的方程组。对所考虑的方程组二阶特征以下的不变量进行了分类。提出了将柯西问题化为常微分方程组的方法。利用补充黎曼不变量的特征不变量构造了无梯度突变解的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Construction of Exact Solutions of the System of One-Dimensional Gas Dynamics Equations without Gradient Catastrophe

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Construction of Exact Solutions of the System of One-Dimensional Gas Dynamics Equations without Gradient Catastrophe

The system of equations that describes one-dimensional polytropic gas flows is considered. The invariants up to the second order of characteristics of the considered system of equations are classified. The method of reducing the Cauchy problems to systems of ordinary differential equations is proposed. Examples of the solutions without gradient catastrophe are constructed using invariants of characteristics supplementary to the Riemann invariants.

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来源期刊

Fluid Dynamics MECHANICS-PHYSICS, FLUIDS & PLASMAS

CiteScore

1.30

自引率

22.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Fluid Dynamics is an international peer reviewed journal that publishes theoretical, computational, and experimental research on aeromechanics, hydrodynamics, plasma dynamics, underground hydrodynamics, and biomechanics of continuous media. Special attention is given to new trends developing at the leading edge of science, such as theory and application of multi-phase flows, chemically reactive flows, liquid and gas flows in electromagnetic fields, new hydrodynamical methods of increasing oil output, new approaches to the description of turbulent flows, etc.