Physical symmetry, spatial accuracy, and relaxation time of the lattice Boltzmann equation for microgas flows

2006 ◽  
Vol 99 (7) ◽  
pp. 074903 ◽  
Author(s):  
Zhaoli Guo ◽  
T. S. Zhao ◽  
Yong Shi
Keyword(s):  
Relaxation Time ◽  
Boltzmann Equation ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Equation ◽  
Spatial Accuracy ◽  
Physical Symmetry

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.

Coda

2018 ◽  
Author(s):  
Sauro Succi
Keyword(s):  
Fluid Dynamics ◽  
Boltzmann Equation ◽  
Broad Spectrum ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Equation ◽  
Real Difference ◽  
Complex Flow ◽  
Flow Problems ◽  
Subjective View

This section of the book revisits a question from the book The Lattice Boltzmann Equation (for fluid dynamics and beyond). This question is: What did we learn through lattice Boltzmann? Did LB make a real difference to our understanding of the physics of fluids and flowing matter in general? Here, the text aims to offer a subjective view, without the presumption of being right. Besides being routinely used for a broad spectrum of complex flow problems, there are, in the opinion expressed in this part of the book, a few precious instances in which LB has made a palpable difference.

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