Hydrodynamic Interaction of Elastic Capsules in Bounded Shear Flow

作     者：D.V.Le Zhijun Tan 

作者机构：Institute of High Performance ComputingAgency for ScienceTechnology and Research1 Fusionopolis Way#16-16 ConnexisSingapore 138632 School of Mathematics and Computational ScienceSun Yat-sen UniversityGuangzhou 510275China Province Key Laboratory of Computational ScienceSun Yat-sen UniversityGuangzhou 510275China. 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2014年第16卷第9期

页      面：1031-1055页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：the NSFC(91230108,11101446) the PSTNS of Zhu Jiang in Guangzhou city(2011J2200099) Guangdong Natural Science Foundation(S2013010012250) the Fundamental Research Funds for the Central Universities(13lgzd07) the Specialized Research Fund for the Doctoral Program of Higher Education(20110171120048) Guangdong Provincial Government of China through the“Computational Science Innovative Research Team”program,and Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University 

主　　题：Thin shell elastic capsules red-blood cells subdivision surfaces immersed boundary method Navier-Stokes equations. 

摘      要：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 *** capsule surface is approximated using the modified Loop’s subdivision scheme which guarantees bounded curvature and C1 continuity everywhere on the limit *** present numerical technique has been validated by studying the deformation of a spherical capsule in shear *** are also performed for a biconcave capsule over a wide range of shear rates and viscosity ratios to investigate its *** addition,the hydrodynamic interaction between two elastic capsules in bounded shear flow is *** on the wall separation distance,the trajectory-bifurcation points that separate reversing and crossing motions for both spherical and biconcave capsules can be *** to the spherical capsules,the biconcave capsules exhibit additional types of interaction such as rotation and head-on *** 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.