Second order phase field asymptotics for multi-component systems

Abstract

An asymptotic analysis of a phase field model for solidification in multicomponent
alloy systems is presented. In the limit of vanishing interface thickness the
related sharp interface model is approximated to second order by taking a non-constant
kinetic correction term into account. In numerical experiments the approximation properties
of the phase field model as well as the gain in computational effort due to the
correction are investigated.