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

Abstract

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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.

How to cite

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Faccanoni, 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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