一类具有非等熵 Dusty 气体的两相流模型 Riemann 解的压力消失极限

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The Vanishing Pressure Limit of Riemann Solutions for a Class of Two-Phase Flow Models with Non-Isentropic Dusty Gases

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Abstract:

This paper studies the cavitation and concentration phenomena of the Riemann solutions for a reduced two-phase mixtures model with non-isentropic dusty gas state as the pressure vanishes. Firstly, we construct the Riemann entropy solutions by characteristic analysis method in $(p, u, s)$ coordinate system. Secondly, we conclude that, the pressureless limit of Riemann solutions for the reduced two-phase mixtures model is just the Riemann solutions for the reduced 2-dimensional pressureless gas dynamics model. Finally, we present numerical simulations which are consistent with our theoretical analysis.

Key words: non-isentropic, two-phase mixtures model, pressureless limit, Riemann problem, Delta shock wave, vacuum state

CLC Number:

O175.23

Daiguang Jin,Shaohong He,Yuyan Wu,Weifeng Jiang. The Vanishing Pressure Limit of Riemann Solutions for a Class of Two-Phase Flow Models with Non-Isentropic Dusty Gases[J].Acta mathematica scientia,Series A, 2025, 45(2): 371-388.

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