報(bào)告題目：Thermodynamically consistent phase-field modelling and energy law preserving computational methods for two-phase flows and moving contact line problems
報(bào)告時(shí)間：2019年6月28日（星期五）10:00
報(bào)告地點(diǎn)：北辰校區(qū)理學(xué)院西教五307
報(bào)告嘉賓：林平 教授 (University of Dundee英國鄧迪大學(xué))
報(bào)告簡介：We develop a phase-field model for the binary incompressible (quasi-incompressible) fluid with thermocapillary effects, which allows for the different properties (densities, viscosities and heat conductivities) of each fluid component while maintaining thermodynamic consistency. The governing equations of the model including the Navier-Stokes equations with additional stress terms, Cahn-Hilliard equations and energy balance equation are derived within a thermodynamic framework based on entropy generation, which guarantees thermodynamic consistency. A sharp-interface limit analysis is carried out to show that the interfacial conditions of the classical sharp-interface models can be recovered from our phase-field model. Energy law preserving finite element methods are developed for the variable density case. The modelling and computational method are also applied to moving contact line problems. A few illustrative computational examples will be presented as well.
嘉賓簡介：Ping Lin, 1984年南京大學(xué)數(shù)學(xué)學(xué)士，1987年南京大學(xué)應(yīng)用數(shù)學(xué)碩士并留校任教。1991年赴加并于1995年獲加拿大不列顛哥倫比亞大學(xué)應(yīng)用數(shù)學(xué)博士學(xué)位。博士論文獲1994年美國工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)（SIAM）博士生論文獎(jiǎng)并特邀在SIAM年會(huì)作50分鐘邀請(qǐng)報(bào)告。1996年赴美在斯坦福大學(xué)應(yīng)用力學(xué)系及計(jì)算機(jī)系做博士后研究。1998年下旬在倫斯勒理工短暫停留后，1999年1月開始在新加坡國立大學(xué)數(shù)學(xué)系擔(dān)任助理教授，后升為副教授，教授。2007年開始擔(dān)任英國鄧迪（Dundee)大學(xué)科學(xué)工程學(xué)院數(shù)值分析/計(jì)算數(shù)學(xué)教授；2010年，擔(dān)任北京科技大學(xué)兼職教授。主要從事應(yīng)用數(shù)學(xué)與科學(xué)工程計(jì)算，計(jì)算材料、計(jì)算物理、流體力學(xué)和圖像處理等交叉學(xué)科研究。
