Lattice dependence of reaction-diffusion in lattice Boltzmann modeling
We consider the influence of the lattice symmetry and size of the lattice Boltzmann method on the behavior of a pure reaction diffusion system. We show that the effect of the dispersion relation in the diffusion coefficient can be minimized, by tuning the fraction of rest particles and the relaxation parameter. For the reaction, we focus on the Selkov model and study the dynamics of pattern formation due to the Turing Instability. For the chosen reaction parameters, however, no clear influence of the lattice symmetry is found. (C) 2000 Elsevier Science B.V. All rights reserved.
reaction-diffusion lattice symmetry pattern formation lattice-boltzmann method