Single relaxation time entropic lattice Boltzmann methods: A developer’s perspective for stable and accurate simulations

2021 ◽  
Vol 215 ◽  
pp. 104792
Author(s):  
Anirudh Jonnalagadda ◽  
Atul Sharma ◽  
Amit Agrawal
Keyword(s):  
Relaxation Time ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Methods ◽  
Single Relaxation Time

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.

scholarly journals On the moment system and a flexible Prandtl number

2014 ◽  
Vol 28 (06) ◽  
pp. 1450048 ◽  
Author(s):  
Raúl Machado
Keyword(s):  
Relaxation Time ◽  
Boltzmann Equation ◽  
Prandtl Number ◽  
Lattice Boltzmann ◽  
Continuous Distribution ◽  
Lattice Boltzmann Equation ◽  
Collision Model ◽  
Single Relaxation Time ◽  
Moment System ◽  
The Moment

The Maxwell–Boltzmann moment system can be seen as a particular case of a mathematically more general moment system proposed by Machado.1 These last moments, of which a suggested continuous distribution and an integral generating form are presented here for some orders, are used in this paper to theoretically show (one of) their usefulness: A flexible Prandtl number can be obtained in both the Boltzmann equation and in the lattice Boltzmann equation with a conventional single relaxation time Bhatnagar–Gross–Krook (BGK) collision model.

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