A Lattice Boltzmann Simulation of Chemical Waves in An Quadratic Autocatalytic System Coupled with the Quadratic Decay Reaction

摘要

A Lattice Boltzmann method is presented to simulate the chemical waves,whose momentum equation is the 2D diffusion-reaction equation.Applying the Chapman-Enskog expansion and multiscale technique,we obtain a series of Lattice Boltzmann equations in different timescales.A simple numerical scheme is designed to simulate the chemical waves in a quadratic autocatalytic system coupled with the quadratic decay reaction.The numerical example shows that the proposed method can be used to simulate chemical waves of diffusion-reaction system.