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    NCU Institutional Repository > 理學院 > 數學系 > 期刊論文 >  Item 987654321/109309


    請使用永久網址來引用或連結此文件: https://ir.lib.ncu.edu.tw/handle/987654321/109309


    題名: Vesicle electrohydrodynamic simulations by coupling immersed boundary and immersed interface method
    作者: 胡偉帆;Hu, Wei-Fan;Lai, Ming-Chih;Seol, Yunchang;Young, Yuan-Nan
    貢獻者: 理學院數學系
    關鍵詞: Boundaries;Computer simulation;Electric potential;Electrohydrodynamics;Fluid flow;Immersed boundary method;Immersed interface method;Leaky dielectric model;Mathematical models;Navier-Stokes equations;Vesicle electrohydrodynamics;Vesicles
    日期: 2016-07-15
    上傳時間: 2026-04-23 16:25:33 (UTC+8)
    出版者: Academic Press Inc.;Elsevier Inc
    摘要: 摘要: In this paper, we develop a coupled immersed boundary (IB) and immersed interface method (IIM) to simulate the electrodeformation and electrohydrodynamics of a vesicle in Navier–Stokes leaky dielectric fluids under a DC electric field. The vesicle membrane is modeled as an inextensible elastic interface with an electric capacitance and an electric conductance. Within the leaky dielectric framework and the piecewise constant electric properties in each fluid, the electric stress can be treated as an interfacial force so that both the membrane electric and mechanical forces can be formulated in a unified immersed boundary method. The electric potential and transmembrane potential are solved simultaneously via an efficient immersed interface method. The fluid variables in Navier–Stokes equations are solved using a projection method on a staggered MAC grid while the electric potential is solved at the cell center. A series of numerical tests have been carefully conducted to illustrate the accuracy and applicability of the present method to simulate vesicle electrohydrodynamics. In particular, we investigate the prolate–oblate–prolate (POP) transition and the effect of electric field and shear flow on vesicle electrohydrodynamics. Our numerical results are in good agreement with those obtained in previous work using different numerical algorithms.
    出版者: Elsevier Inc
    出版日期: 2016-07-15
    出處: Journal of computational physics, 2016-07, Vol.317, p.66-81
    版權: 2016 Elsevier Inc.
    識別號: ISSN: 0021-9991
    識別號: EISSN: 1090-2716
    識別號: DOI: 10.1016/j.jcp.2016.04.035
    顯示於類別:[數學系] 期刊論文

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