Reply to “Comment on ‘Numerics of the lattice Boltzmann method: Effects of collision models on the lattice Boltzmann simulations’”

2012 ◽  
Vol 86 (4) ◽  
Author(s):  
Li-Shi Luo
2003 ◽  
Vol 17 (01n02) ◽  
pp. 21-26 ◽  
Author(s):  
T. INAMURO ◽  
R. TOMITA ◽  
F. OGINO

A lattice Boltzmann method for multicomponent immiscible fluids is applied to simulations of drop deformation and breakup in shear flows for various capillary numbers and viscosity ratios at three different Revnolds numbers, Re = 0.2, 1, 10. The effect of the Reynolds number on drop deformation and breakup in shear flows is investigated. It is found that the drop is easier to deform and to be ruptured as the Reynolds number increases.


2014 ◽  
Vol 554 ◽  
pp. 230-235
Author(s):  
Leila Jahanshaloo ◽  
Nor Azwadi Che Sidik ◽  
Emad Kermani

In recent years, several strategies have been proposed to deal with complex geometry to study particle-fluid interaction using lattice Boltzmann method. Curved boundary treatments have been suggested to improve the accuracy of the stair-shaped approximation in conventional lattice Boltzmann simulations. This paper presents numerical analysis of three interpolation methods for confined flow around blockage positioned inside a channel. A two-dimensional nine velocity lattice arrangement was chosen to discretize the fluid domain and single relaxation time technique is applied in this study. The results are presented in terms of velocity contour, lift and drag forces variation for three different shapes of blockage. The simulations results are then compared with those obtained using the three different interpolating treatments. Some of these methods show more adaptability for force evaluating on distinct surfaces.


2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
D. Arumuga Perumal ◽  
Gundavarapu V. S. Kumar ◽  
Anoop K. Dass

This work is concerned with the lattice Boltzmann computation of two-dimensional incompressible viscous flow past a square cylinder confined in a channel. It is known that the nature of the flow past cylindrical obstacles is very complex. In the present work, computations are carried out both for steady and unsteady flows using lattice Boltzmann method. Effects of Reynolds number, blockage ratio, and channel length are studied in detail. As good care has been taken to include appropriate measures in the computational method, these results enjoy good credibility. To sum up, the present study reveals many interesting features of square cylinder problem and demonstrates the capability of the lattice Boltzmann method to capture these features.


2011 ◽  
Vol 9 (5) ◽  
pp. 1315-1322 ◽  
Author(s):  
Goetz Kaehler ◽  
Alexander Wagner

AbstractWe analyze the Lattice Boltzmann method for the simulation of fluctuating hydrodynamics by Adhikari et al. [Europhys. Lett., 71 (2005), 473-479] and find that it shows excellent agreement with theory even for small wavelengths as long as a stationary system is considered. This is in contrast to other finite difference and older lattice Boltzmann implementations that show convergence only in the limit of large wavelengths. In particular cross correlators vanish to less than 0.5%. For larger mean velocities, however, Galilean invariance violations manifest themselves.


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