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An energy stable projection method forthe inextensible interface problem with bending

发布日期:2019-08-29     作者:数学学院      编辑:裴欣怡     点击:

报告题目:An energy stable projection method forthe inextensible interface problem with bending

报 告 人:赖明治 教授 台湾交通大学

报告时间:9月3日上午10:00-11:00

报告地点:数学楼一楼第二报告厅

报告摘要:

In this talk, we first introduce anunconditionally energy stable scheme to solve the inextensible interfaceproblem with bending arising from vesicle dynamics in fluid flows. Thefundamental problem is formulated by the immersed boundary method where thenon-stationary Stokes equations are considered, with the elastic tension andbending forces expressed in terms of Dirac delta function along the interface.The elastic tension is one of the solution variables and plays therole of Lagrange multiplier to enforce the inextensibility of the interface. Thescheme uses a semi-implicit discretization for the non-stationary Stokes partand it is time-lagged for the interface position so that the whole schemebecomes linear. Meanwhile, this time-lagging technique can be used toprove that the proposed immersed boundary scheme is unconditionally energystable. Furthermore, an efficient immersed boundary projection methodbased on the scheme is developed so that the whole numerical algorithm takesonly a linearithmic complexity by using preconditioned GMRES and FFT-basedsolvers.

报告人简介:

赖明治,台湾交通大学讲座教授,台湾交通大学智能科学暨绿能学院合聘教授,台湾工业与应用数学会理事长,曾担任SIAM东亚分会(EASIAM)主席,香港浸会大学访问教授,日本京都大学数理解析所访问教授。赖教授于台湾中兴大学应用数学系获学士学位,台湾清华大学应用数学系获硕士学位,纽约大学库朗数学学院获博士学位。赖教授致力于偏微分方程的数值方法与计算流体力学等领域的研究,特别是内嵌边界/界面问题(immersed boundary/interface problem)数值方法的改善与Possion方程在非直角坐标系统的快速算法及研究,已在SIAM Journal on Numerical Analysis, SIAM Journalon Scientific Computing, Journal of Computational Physics等国际著名杂志发表论文60余篇。

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