講座主題：Efficient numerical scheme for a dendritic solidification phase field model with melt convection
主講人：陳傳軍
工作單位：煙臺大學
講座時間：2019年4月22日（周一）下午16:00
講座地點：數(shù)學院341
主辦單位：煙臺大學數(shù)學與信息科學學院
內(nèi)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.
主講人介紹：
陳傳軍，教授，煙臺大學數(shù)學與信息科學學院副院長，主要從事計算數(shù)學偏微分方程數(shù)值解法、科學工程與計算等領域的研究。主持國家自然科學基金面上項目、青年項目各1項，主持山東省自然科學基金青年項目1項，主持中國博士后科學基金面上項目1項，主持山東省教育廳科技計劃項目1項，參與多項各類縱向課題，獲得山東省高等學校科學技術獎一等獎1項（第一位），發(fā)表學術論文30余篇，其中20余篇被SCI收錄。
