A kinetic formulation for a model coupling free surface and pressurised flows in closed pipes

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:218

Article; Proceedings Paper

Bourdarias, C.¹  Gerbi, S.¹  Gisclon, M.¹ 

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

关键词: water transients in pipes;    free-surface flows;    pressurised flows;    Saint-Venant like equations;    kinetic formulation;   

DOI  :  10.1016/j.cam.2007.09.009

来源: Elsevier

【 摘 要 】

The aim of this paper is to present a kinetic formulation of a model for the coupling of transient free surface and pressurised flows. Firstly, we revisit the system of Saint-Venant equations for free surface flow: we state some properties of Saint-Venant equations, we propose a kinetic formulation and we verify that this kinetic formulation leads to a Gibbs equilibrium that minimises (in some general case) an energy and preserves the still water steady state. Secondly, we propose a model for pressurised flows in a Saint-Venant-like conservative formulation. We then propose a kinetic formulation and we verify that this kinetic formulation leads to a Gibbs equilibrium that minimises in any case an energy and preserves the still water steady state. Finally, we propose a dual model that couples these two types of flow. (c) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free