Simulations of the Lifshitz-Slyozov equations: The role of coagulation terms in the asymptotic behavior

We consider the Lifshitz-Slyozov system that describes the kinetics of precipitation from supersaturated solid solutions. We design specific Finite Volume schemes and we investigate numerically the behavior of the solutions, in particular the large time asymptotics. Our purpose is two-fold: first, we introduce an adapted scheme based on downwinding techniques in order to reduce the numerical diffusion; second, we discuss the influence of coagulation effects on the selection of the asymptotic profile. © 2013 World Scientific Publishing Company.