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

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.

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.

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