A residual-based Allen-Cahn phase field model for the mixture of incompressible fluid flows

2014 ◽  
Vol 75 (9) ◽  
pp. 645-667 ◽  
Author(s):  
D. F. M. Vasconcelos ◽  
A. L. Rossa ◽  
A. L. G. A. Coutinho
2008 ◽  
Vol 2008.21 (0) ◽  
pp. 416-417
Author(s):  
Naoki TAKADA ◽  
Junichi MATSUMOTO ◽  
Sohei MATSUMOTO ◽  
Naoki ICHIKAWA

2016 ◽  
Author(s):  
Larry Kenneth Aagesen ◽  
Daniel Schwen

1997 ◽  
Vol 08 (04) ◽  
pp. 793-803 ◽  
Author(s):  
Yu Chen ◽  
Hirotada Ohashi

The lattice-Bhatnagar-Gross-Krook (BGK) method has been used to simulate fluid flow in the nearly incompressible limit. But for the completely incompressible flows, two special approaches should be applied to the general model, for the steady and unsteady cases, respectively. Introduced by Zou et al.,1 the method for steady incompressible flows will be described briefly in this paper. For the unsteady case, we will show, using a simple numerical example, the need to solve a Poisson equation for pressure.


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