標題: An immersed boundary projection method for simulating the inextensible vesicle dynamics
作者: Ong, Kian Chuan
Lai, Ming-Chih
應用數學系
Department of Applied Mathematics
關鍵字: Immersed boundary projection method;Fractional step method;Unconditionally energy stable scheme;Inextensible interface;Bending force;Vesicle dynamics
公開日期: 1-五月-2020
摘要: We develop an immersed boundary projection method (IBPM) based on an unconditionally energy stable scheme to simulate the vesicle dynamics in a viscous fluid. Utilizing the block LU decomposition of the algebraic system, a novel fractional step algorithm is introduced by decoupling all solution variables, including the fluid velocity, fluid pressure, and the elastic tension. In contrast to previous works, the present method preserves both the fluid incompressibility and the interface inextensibility at a discrete level simultaneously. In conjunction with an implicit discretization of the bending force, the present method alleviates the time-step restriction, so the numerical stability is assured by non-increasing total discrete energy during the simulation. The numerical algorithm takes a linearithmic complexity by using preconditioned GMRES and FFT-based solvers. The grid convergence studies confirm the solution variables exhibit first-order convergence rate in L-2-norm. We demonstrate the numerical results of the vesicle dynamics in a quiescent fluid, Poiseuille flow, and shear flow, which are congruent with the results in the literature. (C) 2020 Elsevier Inc. All rights reserved.
URI: http://dx.doi.org/10.1016/j.jcp.2020.109277
http://hdl.handle.net/11536/154224
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2020.109277
期刊: JOURNAL OF COMPUTATIONAL PHYSICS
Volume: 408
起始頁: 0
結束頁: 0
顯示於類別:期刊論文