scholarly journals An Investigation into the Numerical Robustness of High-order Lattice Boltzmann Models

2020 ◽  
Author(s):  
Vedad Dzanic ◽  
Christopher From ◽  
Emilie Sauret
Keyword(s):  
Lattice Boltzmann ◽  
High Order ◽  
Numerical Robustness ◽  
Lattice Boltzmann Models

scholarly journals Interaction pressure tensor on high-order lattice Boltzmann models for nonideal fluids

2019 ◽  
Vol 99 (6) ◽  
Author(s):  
C. S. From ◽  
E. Sauret ◽  
S. A. Galindo-Torres ◽  
Y. T. Gu
Keyword(s):  
Lattice Boltzmann ◽  
High Order ◽  
Pressure Tensor ◽  
Lattice Boltzmann Models

The Fluctuating Lattice Boltzmann

2018 ◽  
Author(s):  
Sauro Succi
Keyword(s):  
Brownian Motion ◽  
Fluid Flow ◽  
Lattice Boltzmann ◽  
Thermal Fluctuations ◽  
Directed Motion ◽  
Statistical Fluctuations ◽  
Lattice Boltzmann Models ◽  
Motion Versus ◽  
The Way

Fluid flow at nanoscopic scales is characterized by the dominance of thermal fluctuations (Brownian motion) versus directed motion. Thus, at variance with Lattice Boltzmann models for macroscopic flows, where statistical fluctuations had to be eliminated as a major cause of inefficiency, at the nanoscale they have to be summoned back. This Chapter illustrates the “nemesis of the fluctuations” and describe the way they have been inserted back within the LB formalism. The result is one of the most active sectors of current Lattice Boltzmann research.

Lattice Boltzmann Models without Underlying Boolean Microdynamics

2018 ◽  
Author(s):  
Sauro Succi
Keyword(s):  
Lattice Boltzmann ◽  
High Viscosity ◽  
Top Down ◽  
Bottom Up ◽  
Low Reynolds ◽  
Lattice Boltzmann Models ◽  
Exponential Complexity ◽  
Statistical Noise ◽  
Collision Rule

Chapter 12 showed how to circumvent two major stumbling blocks of the LGCA approach: statistical noise and exponential complexity of the collision rule. Yet, the ensuing LB still remains connected to low Reynolds flows, due to the low collisionality of the underlying LGCA rules. The high-viscosity barrier was broken just a few months later, when it was realized how to devise LB models top-down, i.e., based on the macroscopic hydrodynamic target, rather than bottom-up, from underlying microdynamics. Most importantly, besides breaking the low-Reynolds barrier, the top-down approach has proven very influential for many subsequent developments of the LB method to this day.

Sign in / Sign up

Export Citation Format

Share Document