mg真人娱乐网站学术报告: Efficient numerical scheme for a dendritic solidification phase field model with melt convection

mg真人娱乐网站: 时间:2019-05-20 点击数:

报告题目Efficient numerical scheme for a dendritic solidification phase field model with melt convection

报告时间:2019年5月20日(周一) 下午15:00

报告地点:7教C段306

报告专家:陈传军教授


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.


主讲人概况:

陈传军,教授,烟台大学数学与信息科学学院副院长,硕士生导师,山东省本科教育教学引导委员会委员,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、国家自然科学基金青年项目、山东省自然科学基金青年项目、中国博士后科学基金面上项目、山东省教育厅科技计划项目、山东省本科高校教改课题重点项目各1项,参与多项纵向课题,获山东省高等学校科学技术奖一等奖1项(排名第一),山东省高等教育教学成果二等奖1项(排名第四),在国际权威期刊“J. Comput. Phys.”“Comput. Methods Appl. Mech. Engrg.”Adv. Comput. Math. “Appl. Numer. Math.”“J. Comp. Appl. Math.”等发表SCI论文20余篇。


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