A finite volume scheme for a model coupling free surface and pressurised flows in pipes

被引：51

作者：

Bourdarias, C. ^{[1
]}

Gerbi, S. ^{[1
]}

机构：

[1] Univ Savoie, LAMA, GM3, F-73376 Le Bourget Du Lac, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 209卷 / 01期

关键词：

water transients in pipes; free-surface flows; pressurised flows; finite volume schemes; Roe scheme;

D O I：

10.1016/j.cam.2006.10.086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A model is derived for the coupling of transient free surface and pressurized flows. The resulting system of equations is written under a conservative form with discontinuous gradient of pressure. We treat the transition point between the two types of flows as a free boundary associated to a discontinuity of the gradient of pressure. The numerical simulation is performed by making use of a Roe-like finite volume scheme that we adapted to such discontinuities in the flux. The validation is performed by comparison with experimental results. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：109 / 131

页数：23

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