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Hydrodynamic Interaction of Elastic Capsules in Bounded Shear Flow

Published online by Cambridge University Press:  03 June 2015

D. V. Le  and
Zhijun Tan
D. V. Le*
Affiliation:
Institute of High Performance Computing, Agency for Science, Technology and Research, 1 Fusionopolis Way, #16-16 Connexis, Singapore 138632
Zhijun Tan*
Affiliation:
School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou 510275, China Province Key Laboratory of Computational Science, Sun Yat-sen University, Guangzhou 510275, China
*
Email:ledv@ihpc.a-star.edu.sg
Corresponding author.Email:tzhij@mail.sysu.edu.cn
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Abstract

This paper presents a modified Loop’s subdivision algorithm for studying the deformation of a single capsule, the hydrodynamic interaction between two capsules and the hydrodynamic diffusion of a suspension of capsules in bounded shear flow. A subdivision thin-shell model is employed to compute the forces generated on the surface of the elastic capsule during deformation. The capsule surface is approximated using the modified Loop’s subdivision scheme which guarantees bounded curvature and C1 continuity everywhere on the limit surface. The present numerical technique has been validated by studying the deformation of a spherical capsule in shear flow. Computations are also performed for a biconcave capsule over a wide range of shear rates and viscosity ratios to investigate its dynamics. In addition, the hydrodynamic interaction between two elastic capsules in bounded shear flow is studied. Depending on the wall separation distance, the trajectory-bifurcation points that separate reversing and crossing motions for both spherical and biconcave capsules can be found. Compared to the spherical capsules, the biconcave capsules exhibit additional types of interaction such as rotation and head-on collision. The head-on collision results in a large trajectory shift which contribute to the hydrodynamic diffusion of a suspension. A suspension of a large number of biconcave capsules in shear flow is also simulated to show the ability of the modified scheme in running a large-scale simulation over a long period of time.

Keywords

65M0676D0574F1092C10Thin shellelastic capsulesred-blood cellssubdivision surfacesimmersed boundary methodNavier-Stokes equations
Type
Research Article
Information
Communications in Computational Physics , Volume 16 , Issue 4 , October 2014 , pp. 1031 - 1055
Copyright
Copyright © Global Science Press Limited 2014

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