Simulation of two-fluid flows using a finite element/level set method. Application to bubbles and vesicle dynamics

被引：35

作者：

Doyeux, V. ^{[1
]}

Guyot, Y. ^{[1
]}

Chabannes, V. ^{[2
]}

Prud'homme, C. ^{[2
,3
]}

Ismail, M. ^{[1
]}

机构：

[1] Univ Grenoble 1, CNRS, Lab Interdisciplinaire Phys, UMR 5588, F-38041 Grenoble, France

[2] Univ Grenoble 1, CNRS, Lab Jean Kuntzman, UMR 5224, F-38041 Grenoble, France

[3] Univ Strasbourg, CNRS, IRMA, UMR 7501, F-67000 Strasbourg, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2013年 / 246卷

关键词：

Vesicle membrane; Navier Stokes; Two-fluid; Finite elements; High order level set; FLUID; MODEL;

D O I：

10.1016/j.cam.2012.05.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new framework for two-fluid flows using a finite element/level set method is presented and verified through the simulation of the rising of a bubble in a viscous fluid. This model is then enriched to deal with vesicles (which mimic red blood cells' mechanical behavior) by introducing a Lagrange multiplier to constrain the inextensibility of the membrane. Moreover, high order polynomial approximation is used to increase the accuracy of the simulations. A validation of this model is finally presented on known behaviors of vesicles under flow such as "tank treading" and tumbling motions. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：251 / 259

页数：9

共 50 条

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