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【北航数学论坛】_林平教授
ag平台网址:2012-12-23  浏览量:

Energy-law Preserving Continuous Finite Element Methods for Simulation of Liquid Crystal and Multi-phase Flows

林平 教授

University of Dundee, UK

University of Science & Technology Beijing

报告时间:2012年12月27日(星期四),下午16:00—17:00

报告地点:北航主楼213数学与系统科学ag平台app下载学术交流厅

报告摘要:

The liquid crystal (LC) flow model is a coupling between orientation (director field) of LC molecules and a flow field. We propose a simple C^0 finite element formulation in space and a modified midpoint scheme in time which accurately preserves the inherent energy law of the model. We emphasise the energy law preservation because from the PDE analysis point of view the energy law is very important to correctly catch the evolution of singularities in the LC molecule orientation. Then, the idea is generalized to the Cahn-Hilliard phase field model where the biharmonic operator is decomposed into two Laplacian operators. A number of numerical examples demonstrate the good performance of the method. At the end of the talk we will show how to incorporate the temperature into the model and how to apply the method to a superconductivity model, especially at the regime of Hc2 or beyond. The talk is based on a few joint papers with Chun Liu, Qi Wang, Xingbin Pan and Roland Glowinski, etc.

报告人概况:

林平,英国邓迪(Dundee)大学计算数学Chair(教授),北京科技大学应用数学研究所所长。主要从事应用数学与科学工程计算,材料物理科学,流体力学等交叉学科研究。最早给出拟连续材料多尺度模拟方法的理论分析。对复杂晶格结构的固体材料,与合编辑一同发现拟连续方法与另一种广泛应用的均匀化方法的联系,大大加深了对现有材料科学多尺度模拟方法的理解。近年来受邀参加数值计算和计算材料国际会议作邀请或专题邀请报告达40余次,组织或共同组织多项国际会议或专题讨论会。担任多本国际学术期刊编委。共同编辑出版著作两本,发表论文近80篇,研究成果获国际应用和计算数学领域,计算流体及材料多尺度模拟研究者的广泛关注与认可。

欢迎各位老师参加!

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