A kinetic scheme for unsteady pressurised flows in closed water pipes

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article; Proceedings Paper

Bourdarias, C.¹  Gerbi, S.¹ 

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

关键词: Water transients in pipes;    Pressurised flows;    Saint-Venant like equations;    Kinetic formulation;    Kinetic scheme with reflections;   

DOI  :  10.1016/j.cam.2009.08.068

来源: Elsevier

【 摘 要 】

The aim of this paper is to present a kinetic numerical scheme for the computations of transient pressurised flows in closed water pipes. Firstly, we detail the mathematical model written as a conservative hyperbolic partial differentiel system of equations, and then we recall how to obtain the corresponding kinetic formulation. Then we build the kinetic scheme ensuring an upwinding of the source term due to the topography performed in a close manner described by Perthame and Simeoni (2001) [1] and Botchorishvili et al. (2003) [2] using an energetic balance at microscopic level. The validation is lastly performed in the case of a water hammer in an uniform pipe: we compare the numerical results provided by an industrial code used at EDF-CIH (France), which solves the Allievi equation (the commonly used equation for pressurised flows in pipes) by the method of characteristics, with those of the kinetic scheme. It appears that they are in a very good agreement. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free