Relationship between accuracy and number of velocity particles in velocity slip phenomena was investigated by numerical simulations and theoretical considerations. Two types of 2D models were used: the octagon family and the D2Q9 model. Models have to possess the following four prerequisites to accurately simulate the velocity slip phenomena: (a) equivalency to the Navier–Stokes equations in the N-S flow area, (b) conservation of momentum flow in the whole area, (c) appropriate relaxation process in the Knudsen layer, and (d) capability to properly express the mass and momentum flows on the wall. Both the octagon family and the D2Q9 model satisfy conditions (a) and (b). However, models with fewer velocity particles do not sufficiently satisfy conditions (c) and (d). The D2Q9 model fails to represent a relaxation process in the Knudsen layer and shows a considerable fluctuation in the velocity slip due to the model’s angle to the wall. To perform an accurate velocity slip simulation, models with sufficient velocity particles, such as the triple octagon model with moving particles of 24 directions, are desirable.
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October 2010
Research Papers
Relationship between accuracy and number of velocity particles of the finite-difference lattice Boltzmann method in velocity slip simulations
Minoru Watari
e-mail: watari-minoru@kvd.biglobe.ne.jp
Minoru Watari
LBM Fluid Dynamics Laboratory
, 3-2-1 Mitahora-higashi, Gifu 502-0003, Japan
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Minoru Watari
LBM Fluid Dynamics Laboratory
, 3-2-1 Mitahora-higashi, Gifu 502-0003, Japane-mail: watari-minoru@kvd.biglobe.ne.jp
J. Fluids Eng. Oct 2010, 132(10): 101401 (11 pages)
Published Online: October 6, 2010
Article history
Received:
February 27, 2010
Revised:
August 10, 2010
Online:
October 6, 2010
Published:
October 6, 2010
Citation
Watari, M. (October 6, 2010). "Relationship between accuracy and number of velocity particles of the finite-difference lattice Boltzmann method in velocity slip simulations." ASME. J. Fluids Eng. October 2010; 132(10): 101401. https://doi.org/10.1115/1.4002359
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