Roe-type Riemann solver for gas-liquid flows using drift-flux model with an approximate form of the Jacobian matrix

被引：12

作者：

da Silva Santim, Christiano Garcia ^{[1
]}

Rosa, Eugenio Spano ^{[1
]}

机构：

[1] Univ Estadual Campinas, Fac Mech Engn, Dept Energy, Mendeleyev St 200, BR-13083860 Campinas, SP, Brazil

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2016年 / 80卷 / 09期

关键词：

drift-flux model; approximate Riemann solver; Roe linearization; gas-liquid flow; non-linear system; transient; FRICTIONAL PRESSURE-DROP; 2-PHASE FLOW; SCHEME; PARAMETER; VELOCITY;

D O I：

10.1002/fld.4165

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This work presents an approximate Riemann solver to the transient isothermal drift-flux model. The set of equations constitutes a non-linear hyperbolic system of conservation laws in one space dimension. The elements of the Jacobian matrix A are expressed through exact analytical expressions. It is also proposed a simplified form of A considering the square of the gas to liquid sound velocity ratio much lower than one. This approximation aims to express the eigenvalues through simpler algebraic expressions. A numerical method based on the Gudunov's fluxes is proposed employing an upwind and a high order scheme. The Roe linearization is applied to the simplified form of A. The proposed solver is validated against three benchmark solutions and two experimental pipe flow data. Copyright (c) 2015 John Wiley & Sons, Ltd.

引用

页码：536 / 568

页数：33

共 34 条

[1]

[Anonymous], 2002, Cambridge Texts in Applied Mathematics, DOI [10.1017/CBO9780511791253, DOI 10.1017/CBO9780511791253]

[2] A relaxation method for two-phase flow models with hydrodynamic closure law [J].