Title: The Phase Field Simulations for the Zone Melting Purification Method
Abstract: Zone melting method has been used in the purification of industrial phosphorus recently. It is a complicated process consisting of both the melting-solidification process and the solute diffusion process. In this talk, we propose a variational phase-field model to simulate the zone melting process. The resulting coupled system of Allen-Cahn equation, heat equation and solute diffusion equation is solved numerically by the so-called convex splitting scheme. We then give a systematic numerical study of the zone melting process.
摘要: 区域熔融法最近被应用在工业白磷的提纯中。该过程由熔融-固化相变过程和扩散过程组成。我们提出一种变分相场模型来数值模拟区域熔融过程,并对相应的偏微分方程组Allen-Cahn方程,热方程以及溶质扩散方程用凸分裂格式进行数值求解。基于数值解,我们对区域熔融过程进行分析并与实验进行定性比较。
讲座人:张振 博士, 新加坡国立大学数学系担任RESEARCH FELLOW。
时 间:2014年3月14 日14:00~16:00
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