國立東華大學應用數學系

專    題    演    講

主講人：賴明治

                 交大特聘教授

講  題：An immersed boundary method for simulating the dynamics of three-dimensional axisymmetric vesicles in Navier-Stokes flows

時  間：102 年 11 月 27 日 (星期三)  13: 00-14:00

地  點：理工一館 A324 會議室

摘   要

In this talk, we introduce a simple immersed boundary method to simulate the dynamics of three-dimensional axisymmetric inextensible vesicles in Navier-Stokes flows. Instead of introducing a Lagrange's multiplier to enforce the vesicle inextensibility constraint, we modify the model by adopting a spring-like tension to make the vesicle boundary nearly inextensible so that solving for the unknown tension can be avoided. We also derive a new elastic force from the modified vesicle energy and obtain exactly the same form as the originally unmodified one.   A series of numerical tests on the present scheme have been conducted to illustrate the applicability and reliability of the method. In particular, the shapes of vesicles in Poiseuille flow are investigated in detail to study the effects of the reduced volume, the confinement, and the mean flow velocity. The numerical results are shown to be in good agreement with those obtained in experiments.

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