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(tái)大學(xué)
講座時(shí)間：2019年4月22日（周一）下午16:00
講座地點(diǎn)：數(shù)學(xué)院341
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)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(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院副院長(zhǎng)，主要從事計(jì)算數(shù)學(xué)偏微分方程數(shù)值解法、科學(xué)工程與計(jì)算等領(lǐng)域的研究。主持國(guó)家自然科學(xué)基金面上項(xiàng)目、青年項(xiàng)目各1項(xiàng)，主持山東省自然科學(xué)基金青年項(xiàng)目1項(xiàng)，主持中國(guó)博士后科學(xué)基金面上項(xiàng)目1項(xiàng)，主持山東省教育廳科技計(jì)劃項(xiàng)目1項(xiàng)，參與多項(xiàng)各類(lèi)縱向課題，獲得山東省高等學(xué)?？茖W(xué)技術(shù)獎(jiǎng)一等獎(jiǎng)1項(xiàng)（第一位），發(fā)表學(xué)術(shù)論文30余篇，其中20余篇被SCI收錄。
