A Weakly Compressible Navier-Stokes Solver Coupled with LBM Phase-Field Model for Two-Phase Flows on Complex Boundary

2019 ◽  
Vol 2019.32 (0) ◽  
pp. 047
Author(s):  
Kai YANG ◽  
Takayuki AOKI
Author(s):  
Naoki Takada

For interface-tracking simulation of two-phase flows in various micro-fluidics devices, the applicability of two versions of Navier-Stokes phase-field method (NS-PFM) was examined, combining NS equations for a continuous fluid with a diffuse-interface model based on the van der Waals-Cahn-Hilliard free-energy theory. Through the numerical simulations, the following major findings were obtained: (1) The first version of NS-PFM gives good predictions of interfacial shapes and motions in an incompressible, isothermal two-phase fluid with high density ratio on solid surface with heterogeneous wettability. (2) The second version successfully captures liquid-vapor motions with heat and mass transfer across interfaces in phase change of a non-ideal fluid around the critical point.


Soft Matter ◽  
2021 ◽  
Author(s):  
Eduardo Vitral ◽  
Perry H. Leo ◽  
Jorge Viñals

A coupled phase-field and hydrodynamic model is introduced to describe a two-phase, weakly compressible smectic (layered phase) in contact with an isotropic fluid of different density. A non-conserved smectic order...


2014 ◽  
Vol 24 (14) ◽  
pp. 2885-2928 ◽  
Author(s):  
Franck Boyer ◽  
Sebastian Minjeaud

In this paper, we propose a new generalization of the well-known Cahn–Hilliard two-phase model for the modeling of n-phase mixtures. The model is derived using the consistency principle: we require that our n-phase model exactly coincides with the classical two-phase model when only two phases are present in the system. We give conditions for the model to be well-posed. We also present numerical results (including simulations obtained when coupling the Cahn–Hilliard system with the Navier–Stokes so as to obtain a phase-field model for multiphase flows) to illustrate the capability of such modeling.


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