Stability analysis of body force action models used in the single-relaxation-time single-phase lattice Boltzmann method

2019 ◽  
Vol 348 ◽  
pp. 25-41 ◽  
Author(s):  
Gerasim V. Krivovichev
Keyword(s):  
Relaxation Time ◽  
Stability Analysis ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Single Phase ◽  
Body Force ◽  
Force Action ◽  
Single Relaxation Time ◽  
Action Models ◽  
Boltzmann Method

Simulation of Flow Past a Square Cylinder by Parallel Lattice Boltzmann Method using Multi-Relaxation-Time Scheme

2006 ◽  
Vol 22 (1) ◽  
pp. 35-42 ◽  
Author(s):  
J.-S. Wu ◽  
Y.-L. Shao
Keyword(s):  
Relaxation Time ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Reynolds Numbers ◽  
Numerical Results ◽  
Channel Height ◽  
Blockage Ratio ◽  
Square Cylinder ◽  
Single Relaxation Time ◽  
Boltzmann Method

AbstractThe flows past a square cylinder in a channel are simulated using the multi-relaxation-time (MRT) model in the parallel lattice Boltzmann BGK method (LBGK). Reynolds numbers of the flow are in the range of 100 ∼ 1,850 with blockage ratio, 1/6, of cylinder height to channel height, in which the single-relaxation-time (SRT) scheme is not able to converge at higher Reynolds numbers. Computed results are compared with those obtained using the SRT scheme where it can converge. In addition, computed Strouhal numbers compare reasonably well with the numerical results of Davis (1984).

Reassessing the single relaxation time Lattice Boltzmann method for the simulation of Darcy’s flows

2016 ◽  
Vol 27 (04) ◽  
pp. 1650037 ◽  
Author(s):  
Pietro Prestininzi ◽  
Andrea Montessori ◽  
Michele La Rocca ◽  
Sauro Succi
Keyword(s):  
Porous Media ◽  
Relaxation Time ◽  
Lattice Boltzmann Method ◽  
Knudsen Number ◽  
Lattice Boltzmann ◽  
Physical Dependence ◽  
Single Relaxation Time ◽  
Flows In Porous Media ◽  
Percent Accuracy ◽  
Boltzmann Method

It is shown that the single relaxation time (SRT) version of the Lattice Boltzmann (LB) equation permits to compute the permeability of Darcy’s flows in porous media within a few percent accuracy. This stands in contrast with previous claims of inaccuracy, which we relate to the lack of recognition of the physical dependence of the permeability on the Knudsen number.

On the inclusion of mass source terms in a single-relaxation-time lattice Boltzmann method

2018 ◽  
Vol 30 (5) ◽  
pp. 057104 ◽  
Author(s):  
Olav Aursjø ◽  
Espen Jettestuen ◽  
Jan Ludvig Vinningland ◽  
Aksel Hiorth
Keyword(s):  
Relaxation Time ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Source Terms ◽  
Mass Source ◽  
Single Relaxation Time ◽  
Boltzmann Method

Stability Condition for Single-Relaxation Time Isothermal Lattice Boltzmann Formulation

2014 ◽  
Vol 695 ◽  
pp. 667-670
Author(s):  
Nor Azwadi Che Sidik ◽  
Siti Aisyah Razali
Keyword(s):  
Reynolds Number ◽  
Relaxation Time ◽  
Lattice Boltzmann Method ◽  
Stability Condition ◽  
Lattice Boltzmann ◽  
Mesh Size ◽  
Single Relaxation Time ◽  
The Stability ◽  
Boltzmann Method

In this present research, the Lattice Boltzmann method has been used to determine the stability condition of the single relaxation time. The range of Reynolds number is 100,400 and 1000. Meanwhile, the range of mesh size is varying between 31 to 251. The results show that the increase in both mesh size and Reynolds number give an effect on deviation percentages. The deviation percentages for all mesh and Reynolds number also presented.

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