scholarly journals Development of an interface thickening method for the direct numerical simulation of compressible liquid–vapor flows in the framework of the second gradient theory

2021 ◽  
Vol 33 (5) ◽  
pp. 052119
Author(s):  
Davy Nayigizente ◽  
Sébastien Ducruix ◽  
Thomas Schmitt
Keyword(s):  
Numerical Simulation ◽  
Direct Numerical Simulation ◽  
Compressible Liquid ◽  
Gradient Theory ◽  
Second Gradient ◽  
Liquid Vapor

A Numerical Description of a Liquid-Vapor Interface Based on the Second Gradient Theory

1995 ◽  
Vol 22 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Didier Jamet ◽  
Olivier Lebaigue ◽  
Jean-Marc Delhaye ◽  
N. Coutris
Keyword(s):  
Gradient Theory ◽  
Vapor Interface ◽  
Second Gradient ◽  
Liquid Vapor

A Continuous Interface Model for the Direct Numerical Simulation of Phase-Change in Two-Component Liquid-Vapor Flows

2002 ◽  
Author(s):  
Ce´lia Fouillet ◽  
Didier Jamet ◽  
Daniel Lhuillier
Keyword(s):  
Numerical Simulation ◽  
Phase Change ◽  
Diffuse Interface ◽  
Governing Equations ◽  
Closure Relation ◽  
Second Gradient ◽  
Two Component ◽  
Change Problem ◽  
Good Agreement ◽  
Liquid Vapor

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.

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