The Riemann problem and interaction of waves for the isentropic flow in a collapsed ductwork

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2025-03-19 DOI:10.1016/j.ijnonlinmec.2025.105080

Fan Wang, Qinglong Zhang

引用次数: 0

Abstract

In this paper, we investigate the Riemann problem and interaction of elementary waves for the isentropic flow along a collapsed duct. Different with the case we have studied previously (Sheng and Zhang, 2018), the duct we consider here have both a contracting portion and an expanding portion. We have to solve the initial value problem with three piecewise constant data with the cross section area jumping twice. The main difficulty is to solve the interaction of shock wave (rarefaction wave) with the stationary wave from both contracting side and expanding side. We deal with this problem by first discuss the interaction of waves with the stationary wave from contracting side. We then classify the whole interactions on and apart from the two stationary waves. The large time behaviors are also given in each case. Numerical simulations are given to verify our analysis.

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坍塌管道中等熵流动的黎曼问题和波的相互作用

本文研究了沿塌陷管道等熵流动的黎曼问题和基本波的相互作用。与我们之前研究的情况不同（Sheng and Zhang, 2018），我们在这里考虑的管道既有收缩部分，也有扩张部分。我们必须用三个分段常数数据来解决初始值问题，且截面面积跳变两次。主要难点是如何解决激波（稀薄波）与收缩侧和膨胀侧驻波的相互作用问题。为了解决这个问题，我们首先讨论了波与收缩侧驻波的相互作用。然后，我们对两个驻波上和驻波外的全部相互作用进行分类。并给出了每种情况下的大时间行为。数值模拟验证了我们的分析。

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 Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

期刊介绍： The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.