TOWARD A MATHEMATICAL ANALYSIS FOR DRIFT-FLUX MULTIPHASE FLOW MODELS IN NETWORKS

被引：24

作者：

Banda, Mapundi K. ^{[1
]}

Herty, Michael ^{[2
]}

Ngnotchouye, Jean-Medard T. ^{[3
]}

机构：

[1] Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, South Africa

[2] Rhein Westfal TH Aachen, Fac Math, D-52056 Aachen, Germany

[3] Univ KwaZulu Natal, Sch Math Sci, ZA-3209 Scottsville, South Africa

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2010年 / 31卷 / 06期

基金：

新加坡国家研究基金会;

关键词：

coupling conditions; compressible flows; drift-flux models; multiphase flows; multicomponent flows; flow networks; relaxation schemes; COUPLING CONDITIONS; CONSERVATION-LAWS; RELAXATION SCHEMES; EULER EQUATIONS; CAUCHY-PROBLEM; 2-PHASE FLOWS; GAS-FLOW; P-SYSTEM; JUNCTION;

D O I：

10.1137/080722138

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Dynamics of multiphase flows through networks are considered. The dynamics of flow through the connected arcs are governed by an isothermal no-slip drift-flux model. Such problems arise in the context of multicomponent flows or in gas transport in pipe networks in which a phase change takes place due to geometrical or physical forces. Coupling conditions for the vertices (joints) in a network have been proposed. We present conditions at and introduce a mathematical representation of the vertex flow for the no-slip drift-flux case of multiphase flows. Mathematical analysis of coupling conditions at the vertices as well as numerical simulations and comparative studies with theoretical predictions are undertaken.

引用

页码：4633 / 4653

页数：21

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