An unconditionally energy stable immersed boundary method with application to vesicle dynamics

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題名:	An unconditionally energy stable immersed boundary method with application to vesicle dynamics
作者:	胡偉帆;Hu, Wei-Fan;Lai, Ming-Chih
貢獻者:	理學院數學系
日期:	2013-01-01
上傳時間:	2026-04-23 16:10:37 (UTC+8)
出版者:	Global Science Press;Cambridge, UK: Cambridge University Press
摘要:	摘要： We develop an unconditionally energy stable immersed boundary method, and apply it to simulate 2D vesicle dynamics. We adopt a semi-implicit boundary forcing approach, where the stretching factor used in the forcing term can be computed from the derived evolutional equation. By using the projection method to solve the fluid equations, the pressure is decoupled and we have a symmetric positive definite system that can be solved efficiently. The method can be shown to be unconditionally stable, in the sense that the total energy is decreasing. A resulting modification benefits from this improved numerical stability, as the time step size can be significantly increased (the severe time step restriction in an explicit boundary forcing scheme is avoided). As an application, we use our scheme to simulate vesicle dynamics in Navier-Stokes flow. 其他題名： E Asian J Appl Math 出版者： Cambridge, UK: Cambridge University Press 出版日期： 2013-08-01 出處： East Asian journal on applied mathematics, 2013-08, Vol.3 (3), p.247-262 版權： Copyright © Global-Science Press 2013 識別號： ISSN: 2079-7362 識別號： EISSN: 2079-7370 識別號： DOI: 10.4208/eajam.250713.150813a
顯示於類別:	[數學系] 期刊論文

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