A kinetic scheme for unsteady pressurised flows in closed water pipes

Details A kinetic scheme for unsteady pressurised flows in closed water pipes A kinetic scheme for unsteady pressurised flows in closed water pipes

2008-11-29

arxiv.org/abs/0812.0106v2

Journal of Computational and Applied Mathematics 234, 7 (2010) 2098-2105

Mathematics

Analysis of PDEs

Scientific paper

10.1016/j.cam.2009.08.06

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 the 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 et al. using an energetic balance at microscopic level for the Shallow Water equations. The validation is lastly performed in the case of a water hammer in a 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.

Affiliated with

Also associated with

No associations

Rating

A kinetic scheme for unsteady pressurised flows in closed water pipes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A kinetic scheme for unsteady pressurised flows in closed water pipes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A kinetic scheme for unsteady pressurised flows in closed water pipes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-54641