A discrete reactive collision scheme for the lattice Boltzmann method

The lattice Boltzmann method (LBM) is a computational method for a wide variety of fluid flow and multiphysics phenomena. These include systems governed by reaction-diffusion and reaction-diffusion-advection equations which are of major interest in many scientific and engineering fields. Typically, reactions are incorporated into LBM by means of a reactive source term identical to the macroscopic reaction kinetics equations which is dependent on the local concentration of the chemical species. Alternatively we can formulate the source term at the level of the particle distribution function, which is the main variable in LBM simulations. This way we can mimic the velocity-dependent reactive collisions of particles. This was done in our work and we implemented it to a bimolecular reaction for several geometries and initial conditions. Comparison was made with the macroscopic reaction source term. (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

The lattice Boltzmann method (LBM) is a computational method used for a wide range of fluid flow and multiphysics phenomena, where reactions can be incorporated through reactive source terms or particle distribution functions in order to simulate velocity-dependent reactive collisions of particles.