# Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium∗

Gloria Faccanoni; Samuel Kokh; Grégoire Allaire

ESAIM: Mathematical Modelling and Numerical Analysis (2012)

- Volume: 46, Issue: 5, page 1029-1054
- ISSN: 0764-583X

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topFaccanoni, Gloria, Kokh, Samuel, and Allaire, Grégoire. "Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium∗." ESAIM: Mathematical Modelling and Numerical Analysis 46.5 (2012): 1029-1054. <http://eudml.org/doc/276376>.

@article{Faccanoni2012,

abstract = {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.},

author = {Faccanoni, Gloria, Kokh, Samuel, Allaire, Grégoire},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Compressible flows; two-phase flows; hyperbolic systems; phase change; relaxation method; compressible flows},

language = {eng},

month = {2},

number = {5},

pages = {1029-1054},

publisher = {EDP Sciences},

title = {Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium∗},

url = {http://eudml.org/doc/276376},

volume = {46},

year = {2012},

}

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

DA - 2012/2//

PB - EDP Sciences

VL - 46

IS - 5

SP - 1029

EP - 1054

AB - 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.

LA - eng

KW - Compressible flows; two-phase flows; hyperbolic systems; phase change; relaxation method; compressible flows

UR - http://eudml.org/doc/276376

ER -

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