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

被引：1

作者：

Aksenov, A. V. ^{[1
,2
]}

Druzhkov, K. P. ^{[1
,3
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

[2] Natl Res Nucl Univ MEPhI, Moscow, Russia

[3] Moscow Inst Phys & Technol, Dolgopudnyi, Moscow Oblast, Russia

来源：

FLUID DYNAMICS | 2023年 / 58卷 / 01期

关键词：

gas dynamics; Riemann invariants; invariants of characteristics; gradient catastrophe; exact solutions;

D O I：

10.1134/S0015462822601899

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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.

引用

页码：136 / 144

页数：9

共 8 条

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