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学术报告:Thermodynamically consistent phase-field modelling and energy law preserving computational methods for two-phase flows and moving contact line problems

  报告标题问题:Thermodynamically consistent phase-field modelling and energy law preserving computational methods for two-phase flows and moving contact line problems

  报告时候:2019年6月28日(礼拜五)10:00

  报告地点:北辰校区理学院西教五307  

  报告佳宾:林平 传授 (University of Dundee英国邓迪大学)

 

  报告简介: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.

  

  佳宾简介:Ping Lin, 1984年南京大学数学学士,1987年南京大学利用数学硕士并留校任教。1991年赴加并于1995年获加拿大不列颠哥伦比亚大学利用数学博士学位。博士论文获1994年美国产业与利用数学学会(SIAM)博士生论文奖并特邀在SIAM年会作50分钟约请报告。1996年赴美在斯坦福大学利用力学系及计较机系做博士后研讨。1998年下旬在伦斯勒理工长久逗留后,1999年1月起头在新加坡国立大学数学系担负助理传授,后升为副传授,传授。2007年起头担负英国邓迪(Dundee)大学迷信工程学院数值阐发/计较数学传授;2010年,担负北京科技大学兼职传授。首要处置利用数学与迷信工程计较,计较资料、计较物理、流膂力学和图象处置等穿插学科研讨。