Two grid refinement methods in the lattice Boltzmann framework for reaction–diffusion processes in complex systems

2006 ◽  
Vol 8 (35) ◽  
pp. 4119 ◽  
Author(s):  
Davide Alemani ◽  
Bastien Chopard ◽  
Josep Galceran ◽  
Jacques Buffle
Keyword(s):  
Complex Systems ◽  
Lattice Boltzmann ◽  
Diffusion Processes ◽  
Reaction Diffusion ◽  
Grid Refinement

CELLULAR AUTOMATA AND LATTICE BOLTZMANN TECHNIQUES: AN APPROACH TO MODEL AND SIMULATE COMPLEX SYSTEMS

2002 ◽  
Vol 05 (02n03) ◽  
pp. 103-246 ◽  
Author(s):  
BASTIEN CHOPARD ◽  
ALEXANDRE DUPUIS ◽  
ALEXANDRE MASSELOT ◽  
PASCAL LUTHI
Keyword(s):  
Cellular Automata ◽  
Complex Systems ◽  
Lattice Boltzmann ◽  
Road Traffic ◽  
Fluid Flows ◽  
Reaction Diffusion ◽  
Traffic Models ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Fracture Processes

We discuss the cellular automata approach and its extensions, the lattice Boltzmann and multiparticle methods. The potential of these techniques is demonstrated in the case of modeling complex systems. In particular, we consider applications taken from various fields of physics, such as reaction-diffusion systems, pattern formation phenomena, fluid flows, fracture processes and road traffic models.

scholarly journals LBGK method coupled to time splitting technique for solving reaction-diffusion processes in complex systems

2005 ◽  
Vol 7 (18) ◽  
pp. 3331 ◽  
Author(s):  
Davide Alemani ◽  
Bastien Chopard ◽  
Josep Galceran ◽  
Jacques Buffle
Keyword(s):  
Complex Systems ◽  
Diffusion Processes ◽  
Reaction Diffusion ◽  
Splitting Technique ◽  
Time Splitting

Nonlinear Reaction-Diffusion Processes for Nanocomposites

2021 ◽  
Author(s):  
Jesús Ildefonso Díaz ◽  
David Gómez-Castro ◽  
Tatiana A. Shaposhnikova
Keyword(s):  
Diffusion Processes ◽  
Reaction Diffusion ◽  
Nonlinear Reaction
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