An immersed boundary method for simulating the dynamics of three-dimensional axisymmetric vesicles in Navier-Stokes flows

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109144

Title:	An immersed boundary method for simulating the dynamics of three-dimensional axisymmetric vesicles in Navier-Stokes flows
Authors:	胡偉帆;Hu, Wei-Fan;Kim, Yongsam;Lai, Ming-Chih
Contributors:	理學院數學系
Keywords:	Axisymmetric;Axisymmetric vesicle;Boundaries;Dynamics;Immersed boundary method;Inextensible interface;Mathematical analysis;Mathematical models;Navier-Stokes equations;Three dimensional;Vesicles
Date:	2014-01-15
Issue Date:	2026-04-23 16:10:24 (UTC+8)
Publisher:	Academic Press Inc.;Elsevier Inc
Abstract:	摘要： In this paper, we develop a simple immersed boundary method to simulate the dynamics of three-dimensional axisymmetric inextensible vesicles in Navier–Stokes flows. Instead of introducing a Lagrangeʼs multiplier to enforce the vesicle inextensibility constraint, we modify the model by adopting a spring-like tension to make the vesicle boundary nearly inextensible so that solving for the unknown tension can be avoided. We also derive a new elastic force from the modified vesicle energy and obtain exactly the same form as the originally unmodified one. In order to represent the vesicle boundary, we use Fourier spectral approximation so we can compute the geometrical quantities on the interface more accurately. A series of numerical tests on the present scheme have been conducted to illustrate the applicability and reliability of the method. We first perform the accuracy check of the geometrical quantities of the interface, and the convergence check for different stiffness numbers as well as fluid variables. Then we study the vesicle dynamics in quiescent flow and in gravity. Finally, the shapes of vesicles in Poiseuille flow are investigated in detail to study the effects of the reduced volume, the confinement, and the mean flow velocity. The numerical results are shown to be in good agreement with those obtained in literature. 出版者： Elsevier Inc 出版日期： 2014-01-01 出處： Journal of computational physics, 2014-01, Vol.257, p.670-686 版權： 2013 Elsevier Inc. 識別號： ISSN: 0021-9991 識別號： EISSN: 1090-2716 識別號： DOI: 10.1016/j.jcp.2013.10.018
Appears in Collections:	[Department of Mathematics] journal & Dissertation

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	14	View/Open

社群 sharing

Loading...