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.
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页数：30
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