AN ENERGY STABLE C0 FINITE ELEMENT SCHEME FOR A PHASE-FIELD MODEL OF VESICLE MOTION AND DEFORMATION

被引：8

作者：

Shen, Lingyue ^{[1
]}

Xu, Zhiliang ^{[2
]}

Lin, Ping ^{[1
]}

Huang, Huaxiong ^{[3
,4
]}

Xu, Shixin ^{[5
]}

机构：

[1] Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland

[2] Univ Notre Dame, Dept Appl & Computat Math & Stat, 102G Crowley Hall, Notre Dame, IN 46556 USA

[3] Beijing Normal Univ Zhuhai, Adv Inst Nat Sci, Res Ctr Math, Zhuhai, Peoples R China

[4] BNU HKBU United Int Coll, Zhuhai, Peoples R China

[5] Duke Kunshan Univ, 8 Kunshan St, Kunshan, Jiangsu, Peoples R China

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2022年 / 44卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

vesicle; local inextensibility; energy stable scheme; narrow channel; MOVING CONTACT LINE; LEVEL-SET METHOD; RED-BLOOD-CELLS; IMMERSED BOUNDARY; INEXTENSIBLE VESICLES; VARIATIONAL APPROACH; MEMBRANE; INTERFACE; DYNAMICS; FLOWS;

D O I：

10.1137/21M1416631

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A thermodynamically consistent phase-field model is introduced for simulating motion and shape transformation of vesicles under flow conditions. In particular, a general slip boundary condition is used to describe the interaction between vesicles and the wall of the fluid domain in the absence of cell-wall adhesion introduced by ligand-receptor binding. A second-order accurate in both space and time C-0 finite element method is proposed to solve the model governing equations. Various numerical tests confirm the convergence, energy stability, and conservation of mass and surface area of cells of the proposed scheme. Vesicles with different mechanical properties are also used to explain the pathological risk for patients with sickle cell disease.

引用

页码：B122 / B145

页数：24

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