Assessment of the multi-relaxation-time and single-relaxation-time models in the lattice Boltzmann equation method

2001 ◽  
Author(s):  
Renwei Mei ◽  
Dazhi Yu ◽  
Wei Shyy
Keyword(s):  
Relaxation Time ◽  
Boltzmann Equation ◽  
Lattice Boltzmann ◽  
Equation Method ◽  
Lattice Boltzmann Equation ◽  
Single Relaxation Time

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.

Thermal levitation

2008 ◽  
Vol 606 ◽  
pp. 105-114 ◽  
Author(s):  
F. MANDUJANO ◽  
R. RECHTMAN
Keyword(s):  
Boltzmann Equation ◽  
Lattice Boltzmann ◽  
Terminal Velocity ◽  
Equation Method ◽  
Lattice Boltzmann Equation ◽  
Two Component ◽  
Thermal Lattice Boltzmann

A particle with a density slightly larger than that of the fluid in which it is immersed will sediment. However, if the particle's temperature is higher than that of the fluid, the terminal velocity of sedimentation will be smaller and can even change sign. When the terminal velocity is zero we say there is thermal levitation. Thermal levitation can also occur when the density and temperature of the particle are smaller than those of the fluid. Using a two-component thermal lattice Boltzmann equation method, we study this phenomenon and show it can be stable or unstable.

scholarly journals Three-dimensional single framework multicomponent lattice Boltzmann equation method for vesicle hydrodynamics

2021 ◽  
Vol 33 (7) ◽  
pp. 077110
Author(s):  
J. Spendlove ◽  
X. Xu ◽  
T. Schenkel ◽  
M. A. Seaton ◽  
I. Halliday ◽  
...  
Keyword(s):  
Boltzmann Equation ◽  
Lattice Boltzmann ◽  
Three Dimensional ◽  
Equation Method ◽  
Lattice Boltzmann Equation
Sign in / Sign up

Export Citation Format

Share Document