A fast, robust, and accurate operator splitting method for phase-field simulations of crystal growth

In this paper we propose a fast, robust, and accurate operator splitting method for phase-field simulations of dendritic growth in both twoand three-dimensional space. The proposed method is based on operator splitting techniques. We split the governing phase-field equation into three parts: the first equation is calculated by using an explicit Euler’s method. The second is a heat equation with a and is evaluated using a closed form solution. We also present a set of representative numerical experiments for crystal growth simulation to demonstrate the accuracy and efficiency of the proposed method. Our simulation results are also consistent with previous numerical experiments. & 2011 Elsevier B.V. All rights reserved.