scholarly journals Matrix lattice Boltzmann reloaded

2011 ◽  
Vol 369 (1944) ◽  
pp. 2202-2210 ◽  
Author(s):  
Ilya Karlin ◽  
Pietro Asinari ◽  
Sauro Succi
Keyword(s):  
Boltzmann Equation ◽  
Lattice Boltzmann ◽  
Three Dimensional ◽  
Collision Integral ◽  
Lattice Boltzmann Equation ◽  
New Paradigm ◽  
Driven Cavity ◽  
Matrix Lattice ◽  
Stability And Accuracy ◽  
Enhanced Stability

The lattice Boltzmann equation was introduced about 20 years ago as a new paradigm for computational fluid dynamics. In this paper, we revisit the main formulation of the lattice Boltzmann collision integral (matrix model) and introduce a new two-parametric family of collision operators, which permits us to combine enhanced stability and accuracy of matrix models with the outstanding simplicity of the most popular single-relaxation time schemes. The option of the revised lattice Boltzmann equation is demonstrated through numerical simulations of a three-dimensional lid-driven cavity.

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

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.

Lattice Boltzmann equation model in the Coriolis field

2001 ◽  
Vol 10 (12) ◽  
pp. 1103-1105 ◽  
Author(s):  
Feng Shi-de ◽  
Mao Jiang-yu ◽  
Zhang Qiong
Keyword(s):  
Boltzmann Equation ◽  
Lattice Boltzmann ◽  
Equation Model ◽  
Lattice Boltzmann Equation
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