Exact Riemann solver for a nonlinear hyperbolic system of equations modeling a compressible two-phase flow in pipes

被引：6

作者：

El Idrissi, Abdelmjid Qadi ^{[1
]}

机构：

[1] Univ Hassan 1, Natl Sch Appl Sci, BP 218, Berrechid, Morocco

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 505卷 / 01期

关键词：

Hyperbolic system; Two phase flow; Riemann problem; Godunov methods; GODUNOV METHOD; SIMULATION; SCHEME;

D O I：

10.1016/j.jmaa.2021.125580

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to present an exact Riemann solver for a gas-liquid mixture in pipes. By applying the theory of conservation laws, we first determine the exact solution of the Riemann problem. We demonstrate that this analytical solution consists of three waves: 1-Wave (Shock/Rarefaction), 2-Wave (Contact Discontinuity) , 3-Wave (Shock/Rarefaction). Secondly, we derive an exact Riemann solver based on the solution of the Riemann problem. The performance of this solver is verified by performing a series of test problems, such as the Riemann problem and the sudden upstream valve closure. (c) 2021 Elsevier Inc. All rights reserved.

引用

页数：30

共 50 条

[31] A semi implicit compressible solver for two-phase flows of real fluids [J].

Urbano, A. ;

Bibal, M. ;

Tanguy, S. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 456

[32] Numerical Prediction of Deposition in Two-Phase Flow in Vertical Pipes [J].

Li, Xuan ;

Fatt, Yap Yit ;

Goharzadeh, Afshin ;

Chai, John C. ;

Zhang, Ming .

INTERNATIONAL JOURNAL OF HEAT AND TECHNOLOGY, 2021, 39 (01) :73-88

[33] Modeling of Two-Phase Flashing Flow of Multicomponent Mixtures in Large Diameter Pipes [J].

Qin, Ya ;

Han, Xu ;

Wang, Hong-Xing ;

Fang, Zhen-Lei ;

Cui, Xiao-Ti ;

Li, Xin-Gang .

CHEMICAL ENGINEERING & TECHNOLOGY, 2008, 31 (11) :1676-1684

[34] CFD modeling of liquid film reversal of two-phase flow in vertical pipes [J].

Mohamed M. Hussein ;

A. Al-Sarkhi ;

H. M. Badr ;

M. A. Habib .

Journal of Petroleum Exploration and Production Technology, 2019, 9 :3039-3070

[35] CFD modeling of liquid film reversal of two-phase flow in vertical pipes [J].

Hussein, Mohamed M. ;

Al-Sarkhi, A. ;

Badr, H. M. ;

Habib, M. A. .

JOURNAL OF PETROLEUM EXPLORATION AND PRODUCTION TECHNOLOGY, 2019, 9 (04) :3039-3070

[36] On the approximate Riemann solver for the two-phase two-fluid six equation model and application to real system [J].

Hu, Guojun ;

Kozlowski, Tomasz .

NUCLEAR ENGINEERING AND DESIGN, 2019, 341 :415-422

[37] Dynamic Modeling of Phase Crossings in Two-Phase Flow [J].

Madsen, S. ;

Veje, C. ;

Willatzen, M. .

COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2012, 12 (04) :1129-1147

[38] Numerical Simulations For Non Conservative Hyperbolic System. Application to Transient Two-Phase Flow with Cavitation Phenomenon [J].

Achchab, Boujemaa ;

Agouzal, Abdellatif ;

Qadi El Idrissi, Abdelmjid .

MATHEMATICAL MODELLING AND ANALYSIS, 2019, 24 (02) :218-235

[39] A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow [J].

Tokareva, S. A. ;

Toro, E. F. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 323 :45-74

[40] An analytical investigation on nonlinear vibrations and stability of Timoshenko pipes conveying two-phase flow [J].

Sabahi, Mohammad Ali ;

Saidi, Ali Reza .

THIN-WALLED STRUCTURES, 2024, 198

← 1 2 3 4 5 →