Home » A Phase-Field Modelling Method and Its Energy-law Preserving Finite Element Scheme for the Vesicle Motion in a Narrowed Channel

A Phase-Field Modelling Method and Its Energy-law Preserving Finite Element Scheme for the Vesicle Motion in a Narrowed Channel

Sep 17, 2020

A Phase-Field Modelling Method and Its Energy-law Preserving Finite Element Scheme for the Vesicle Motion in a Narrowed Channel

Ping Lin, University of Dundee

 

Abstract:

We will first show how to develop a thermodynamically consistent phase field model and then apply the method to derive a model for the deformation and detachment of a red blood cell (vesicle) passing through a narrowed channel, where the general slip (Allen-Cahn type) boundary condition is used for the interaction of the vesicle with the channel wall. Then a second order energy stable continuous finite element scheme is proposed to solve the derived model. The effect of smoothness and adhesion of channel to the vesicle deformation and movement are studied, and in addition, the effect of an additional local inextensibility condition is examined in the numerical simulation of the vesicle movement in a narrowed channel. Vesicles with different mechanical or geometrical properties are also studied to explain the pathological risk for patients. This talk is based on a few joint papers with Zhenlin Guo, Lingyue Shen, Shixin Xu, Zhiliang Xu and Huaxiong Huang.

 

Slides for the talkĀ (click)

Recorded video for the talk (click)

 

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