The Second Gradient Method for the Direct Numerical Simulation of Liquid–Vapor Flows with Phase Change

2001 ◽  
Vol 169 (2) ◽  
pp. 624-651 ◽  
Author(s):  
D. Jamet ◽  
O. Lebaigue ◽  
N. Coutris ◽  
J.M. Delhaye
Author(s):  
Ce´lia Fouillet ◽  
Didier Jamet ◽  
Daniel Lhuillier

This paper presents a model dedicated to the numerical simulation of two-component liquid-vapor flows with phase-change. This model is an extension to binary mixtures of the second gradient method, initially dedicated to pure fluids. It is a diffuse interface method: by assuming that the free energy of the mixture depends on its density gradient, liquid-vapor interfaces are described as volumetric transition regions across which physical properties vary continuously. The corresponding governing equations of the mixture are derived and the thermodynamic closure relation is established in order to recover the equilibrium properties of a mixture. As a first validation of this model, it is applied to study a one-dimensional isothermal phase-change problem. When the system reaches a stationary state, an asymptotic analysis shows that this model is in good agreement with sharp interface models, as well as numerical calculations.


2017 ◽  
Vol 105 ◽  
pp. 4254-4259 ◽  
Author(s):  
Xiaohu Yang ◽  
Xiangzhao Meng ◽  
Zhenni Wang ◽  
Liwen Jin ◽  
Qunli Zhang ◽  
...  

2020 ◽  
Vol 16 (2) ◽  
pp. 359-381
Author(s):  
Matthieu Ancellin ◽  
Laurent Brosset ◽  
Jean-Michel Ghidaglia

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