標題: Vesicle electrohydrodynamic simulations by coupling immersed boundary and immersed interface method 作者: Hu, Wei-FanLai, Ming-ChihSeol, YunchangYoung, Yuan-Nan應用數學系數學建模與科學計算所(含中心)Department of Applied MathematicsGraduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics 關鍵字: Immersed boundary method;Immersed interface method;Vesicle electrohydrodynamics;Leaky dielectric model;Navier-Stokes equations 公開日期: 15-Jul-2016 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 prolateoblate-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. (C) 2016 Elsevier Inc. All rights reserved. URI: http://dx.doi.org/10.1016/j.jcp.2016.04.035http://hdl.handle.net/11536/133722 ISSN: 0021-9991 DOI: 10.1016/j.jcp.2016.04.035 期刊: JOURNAL OF COMPUTATIONAL PHYSICS Volume: 317 起始頁: 66 結束頁: 81 Appears in Collections: Articles