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发表时间:2019-12-05 阅读次数:73次
报告题目: An immersed boundary projection method for simulating the inextensible vesicle dynamics
报 告 人:赖明治 教授
报告人所在单位:台湾交通大学
报告日期:2019-12-05 星期四
报告时间:16:00-17:00
报告地点:光华东主楼1501
  
报告摘要:
      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 con firm that the solution variables exhibit first-order convergence rate in L2-norm. We demonstrate the numerical results of the vesicle dynamics in a quiescent flow, Poiseuille flow, and shear flow, which are congruent with the results in the literature.
 
  
本年度学院报告总序号:269

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