讲座主题：Efficient numerical scheme for a dendritic solidification phase field model with melt convection

主讲人：陈传军

工作单位：烟台大学

讲座时间：2019年4月22日（周一）下午16:00

讲座地点：数学院341

主办单位：烟台大学数学与信息科学学院

内容摘要：

We consider numerical approximations for a dendritic solidification phase field model with melt convection in the liquid phase, which is a highly nonlinear system that couples the anisotropic Allen-Cahn type equation, the heat equation, and the weighted Navier-Stokes equations together. We first reformulate the model into a form which is suitable for numerical approximations and establish the energy dissipative law. Then, we develop a linear, decoupled, and unconditionally energy stable numerical scheme by combining the modified projection scheme for the Navier-Stokes equations, the Invariant Energy Quadratization approach for the nonlinear anisotropic potential, and some subtle explicit-implicit treatments for nonlinear coupling terms. Stability analysis and various numerical simulations are presented.

主讲人介绍：

陈传军，教授，烟台大学数学与信息科学学院副院长，主要从事计算数学偏微分方程数值解法、科学工程与计算等领域的研究。主持国家自然科学基金面上项目、青年项目各1项，主持山东省自然科学基金青年项目1项，主持中国博士后科学基金面上项目1项，主持山东省教育厅科技计划项目1项，参与多项各类纵向课题，获得山东省高等学校科学技术奖一等奖1项（第一位），发表学术论文30余篇，其中20余篇被SCI收录