Voir la notice de l'article provenant de la source Numdam
In the present work we investigate the numerical simulation of liquid-vapor phase change in compressible flows. Each phase is modeled as a compressible fluid equipped with its own equation of state (EOS). We suppose that inter-phase equilibrium processes in the medium operate at a short time-scale compared to the other physical phenomena such as convection or thermal diffusion. This assumption provides an implicit definition of an equilibrium EOS for the two-phase medium. Within this framework, mass transfer is the result of local and instantaneous equilibria between both phases. The overall model is strictly hyperbolic. We examine properties of the equilibrium EOS and we propose a discretization strategy based on a finite-volume relaxation method. This method allows to cope with the implicit definition of the equilibrium EOS, even when the model involves complex EOS's for the pure phases. We present two-dimensional numerical simulations that shows that the model is able to reproduce mechanism such as phase disappearance and nucleation.
@article{M2AN_2012__46_5_1029_0,
author = {Faccanoni, Gloria and Kokh, Samuel and Allaire, Gr\'egoire},
title = {Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {1029--1054},
publisher = {EDP-Sciences},
volume = {46},
number = {5},
year = {2012},
doi = {10.1051/m2an/2011069},
mrnumber = {2916371},
zbl = {1267.76110},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2011069/}
}
TY - JOUR AU - Faccanoni, Gloria AU - Kokh, Samuel AU - Allaire, Grégoire TI - Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2012 SP - 1029 EP - 1054 VL - 46 IS - 5 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2011069/ DO - 10.1051/m2an/2011069 LA - en ID - M2AN_2012__46_5_1029_0 ER -
%0 Journal Article %A Faccanoni, Gloria %A Kokh, Samuel %A Allaire, Grégoire %T Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2012 %P 1029-1054 %V 46 %N 5 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2011069/ %R 10.1051/m2an/2011069 %G en %F M2AN_2012__46_5_1029_0
Faccanoni, Gloria; Kokh, Samuel; Allaire, Grégoire. Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 46 (2012) no. 5, pp. 1029-1054. doi: 10.1051/m2an/2011069
Cité par Sources :