Numerical approximation of water-air two-phase flow by the mixed finite element method

被引：2

作者：

Korsawe, J ^{[1
]}

Perau, E

Potthoff, S

Starke, G

机构：

[1] Leibniz Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany

[2] Univ Duisburg Essen, Fachbereich Bauwesen, D-45117 Essen, Germany

来源：

COMPUTERS AND GEOTECHNICS | 2003年 / 30卷 / 08期

关键词：

two-phase flow model; capillarity; compressed air; tunneling; mixed finite element methods; Raviart-Thomas;

D O I：

10.1016/j.compgeo.2003.07.001

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A new model for two-phase flow of water and air in soil is presented. This leads to a system of two mass balance equations and two equations representing conservation of momentum of fluid and gas, respectively. This paper is concerned with the verification of this model for the special case of a rigid soil skeleton by computational experiments. Its numerical treatment is based on the Raviart-Thomas mixed finite element method combined with an implicit Euler time discretization. The feasibility of the method is illustrated for some test examples of one- and two-dimensional two-phase flow problems. (C) 2003 Published by Elsevier Ltd.

引用

页码：695 / 705

页数：11

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