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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:246

Article

Doyeux, V.¹  Guyot, Y.¹  Chabannes, V.²  Prud'homme, C.^2,3  Ismail, M.¹ 

[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

关键词: Vesicle membrane;    Navier Stokes;    Two-fluid;    Finite elements;    High order level set;   

DOI  :  10.1016/j.cam.2012.05.004

来源: Elsevier

【 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.

【 授权许可】

Free