scholarly journals Finite-difference lattice Boltzmann model with flux limiters for liquid-vapor systems

2004 ◽  
Vol 70 (4) ◽  
Author(s):  
V. Sofonea ◽  
A. Lamura ◽  
G. Gonnella ◽  
A. Cristea
2006 ◽  
Vol 17 (08) ◽  
pp. 1191-1201 ◽  
Author(s):  
ARTUR CRISTEA

A two-dimensional finite difference Lattice Boltzmann model for liquid-vapour systems is introduced. Phase separation is achieved using the dimensionless van der Waals equation of state. A force term is added to account for the surface tension. Flux limiters and TVD schemes are used to improve the accuracy of this model.


2006 ◽  
Vol 72 (2-6) ◽  
pp. 113-116 ◽  
Author(s):  
A. Cristea ◽  
G. Gonnella ◽  
A. Lamura ◽  
V. Sofonea

2008 ◽  
Vol 19 (12) ◽  
pp. 1847-1861 ◽  
Author(s):  
M. BOTTI ◽  
G. GONNELLA ◽  
A. LAMURA ◽  
F. MASSAIOLI ◽  
V. SOFONEA

We propose a thermal lattice Boltzmann model to study gaseous flow in microcavities. The model relies on the use of a finite difference scheme to solve the set of evolution equations. By adopting diffuse reflection boundary conditions to deal with flows in the slip regime, we study the micro-Couette flow in order to select the best numerical scheme in terms of accuracy. The scheme based on flux limiters is then used to simulate a micro-lid-driven cavity flow by using an efficient and parallel implementation. The numerical results are in very good agreement with the available results recovered with different methods.


2004 ◽  
Vol 2004.79 (0) ◽  
pp. _13-15_-_13-16_
Author(s):  
Michihisa Tsutahara ◽  
Kazuhiko Ogawa ◽  
Masahiko Sakamoto ◽  
Hiroki Yokoyama ◽  
Masakazu Tajima ◽  
...  

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