2018年01月23日 |  English version
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Thermodynamically Consistent Phase-Field Models for Two-Phase Flows and Its Energy Stable Computational Methods

 报告题目:Thermodynamically Consistent Phase-Field Models for Two-Phase Flows and Its Energy Stable Computational Methods

报告人: Professor Ping Lin,University of Dundee

报告时间:2017年12月25日(周一)15:00

报告地点:行健楼学术活动室526

邀请人:张志跃教授

摘要: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. Moreover, a few examples including thermocapillary convections in a two-layer fluid system and thermocapillary migration of a drop are computed. The results are compared to the corresponding analytical solutions and the existing numerical results as validations for our model. For the isothermal variable-density case we also show how energy law preserving and energy stable methods can be derived.

 
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