Numerical Study of Reaction-Diffusion Systems using Front Tracking

摘要

We study the three component Reaction-Diffusion systems with and without precipitation and crystal growth. Focus is on the generic chemical reaction represented by nA + mB → C, where n,m are the stoichiometric coefficients. In case of the reaction-diffusion system without precipitation, we investigate the movement of the center of reaction zone in for equal and unequal diffusivities. We compare the analytical and numerical solutions for equal diffusivities to establish the accuracy of the numerical method. Then we apply the numerical method to provide numerical evidence in support of a conjecture in the case of unequal diffusivities.;Next, we apply the Front Tracking method to study the reaction-diffusion systems with crystal growth in higher spatial dimensions. The effects of different parameters on the crystal growth are investigated.