Numerical simulation of dendritic crystal growth in a channel

摘要

A quasi-stationary mathematical model of dendritic growth from an undercooled melt in a channel is considered. This is based on the integral representation formula of the problem which assumes that the crystals grow steadily so that the temperature field satisfies a convection-diffusion equation in the moving frame of reference. Numerically, the above phenomenon is very unstable and any small perturbation in The interface shape may give rise to the growth of an artificial (numerical) branch in the Dendrite.