Mathematics – Analysis of PDEs
Scientific paper
2009-10-02
Mathematics
Analysis of PDEs
Scientific paper
In this paper, we first construct a model for transient free surface flows that takes into account the air entrainment by a sytem of 4 partial differential equations. We derive it by taking averaged values of gas and fluid velocities on the cross surface flow in the Euler equations (incompressible for the fluid and compressible for the gas). Then, we propose a mathematical kinetic interpretation of this system to finally construct a well-balanced kinetic scheme having the properties of conserving the still water steady state and possesing an energy. Finally, numerical tests on closed uniforms water pipes are performed and discussed.
Bourdarias Christian
Ersoy Mehmet
Gerbi Stéphane
No associations
LandOfFree
Air entrainment in transient flows in closed water pipes: a two-layer approach 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 Air entrainment in transient flows in closed water pipes: a two-layer approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Air entrainment in transient flows in closed water pipes: a two-layer approach will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-26085