Physics – Classical Physics
Scientific paper
2009-12-12
Studies in Applied Mathematics 125, 2 (2010) 179-212
Physics
Classical Physics
37 pages, 10 figures. Other authors papers can be downloaded at http://www.lama.univ-savoie.fr/~dutykh/
Scientific paper
10.1111/j.1467-9590.2010.00484.x
In the present study we investigate analytically the process of velocity and energy relaxation in two-phase flows. We begin our exposition by considering the so-called six equations two-phase model [Ishii1975, Rovarch2006]. This model assumes each phase to possess its own velocity and energy variables. Despite recent advances, the six equations model remains computationally expensive for many practical applications. Moreover, its advection operator may be non-hyperbolic which poses additional theoretical difficulties to construct robust numerical schemes |Ghidaglia et al, 2001]. In order to simplify this system, we complete momentum and energy conservation equations by relaxation terms. When relaxation characteristic time tends to zero, velocities and energies are constrained to tend to common values for both phases. As a result, we obtain a simple two-phase model which was recently proposed for simulation of violent aerated flows [Dias et al, 2010]. The preservation of invariant regions and incompressible limit of the simplified model are also discussed. Finally, several numerical results are presented.
Dutykh Denys
Gisclon Marguerite
Meyapin Yannick
No associations
LandOfFree
Velocity and energy relaxation in two-phase flows 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 Velocity and energy relaxation in two-phase flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Velocity and energy relaxation in two-phase flows will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-533253