Title: Simulating the dynamics of inextensible vesicles by the penalty immersed boundary method
Authors: Kim, Yongsam
Lai, Ming-Chih
Graduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics
Keywords: Penalty immersed boundary method;Inextensible vesicles;Binary-component vesicles
Issue Date: 20-Jun-2010
Abstract: In this paper, we develop an immersed boundary (IB) method to simulate the dynamics of inextensible vesicles interacting with an incompressible fluid. In order to take into account the inextensibility constraint of the vesicle, the penalty immersed boundary (pIB) method is used to virtually decouple the fluid and vesicle dynamics. As numerical tests of our current pIB method, the dynamics of single and multiple inextensible vesicles under shear flows have been extensively explored, and compared with the previous literature. The method is also validated by a series of convergence study, which confirms its consistent first-order accuracy on the velocity field, the vesicle configuration, the vesicle area and the perimeter errors. In addition, the method is also applied to study a binary-component vesicle problem. (C) 2010 Elsevier Inc. All rights reserved.
URI: http://dx.doi.org/10.1016/j.jcp.2010.03.020
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2010.03.020
Volume: 229
Issue: 12
Begin Page: 4840
End Page: 4853
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