TY - JOUR
T1 - Energetic variational approaches in modeling vesicle and fluid interactions
AU - Du, Qiang
AU - Liu, Chun
AU - Ryham, Rolf
AU - Wang, Xiaoqiang
N1 - Funding Information:
The work of Du is partially supported by the NSF grant DMS-0712744 and NIH grant CA125707 and the work of Liu is partially supported by the NSF grants DMS-0405850 and DMS-0509094. The work of Ryham is supported in part by the NSF grant DMS-0240058. The work of Wang is supported in part by the NSF grant DMS-0807915.
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2009/5/15
Y1 - 2009/5/15
N2 - In this paper, we establish a hydrodynamic system to study vesicle deformations under external flow fields. The system is in the Eulerian formulation, involving the coupling of the incompressible flow system and a phase field equation. The phase field mixing energy can be viewed as a physical approximation/regularization of the Helfrich energy for an elastic membrane. We derive a self-consistent system of equations describing the dynamic evolution of vesicles immersed in an incompressible, Newtonian fluid, using an energetic variational approach. Numerical simulations of the membrane deformations in flow fields can be conducted based on the developed model.
AB - In this paper, we establish a hydrodynamic system to study vesicle deformations under external flow fields. The system is in the Eulerian formulation, involving the coupling of the incompressible flow system and a phase field equation. The phase field mixing energy can be viewed as a physical approximation/regularization of the Helfrich energy for an elastic membrane. We derive a self-consistent system of equations describing the dynamic evolution of vesicles immersed in an incompressible, Newtonian fluid, using an energetic variational approach. Numerical simulations of the membrane deformations in flow fields can be conducted based on the developed model.
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U2 - 10.1016/j.physd.2009.02.015
DO - 10.1016/j.physd.2009.02.015
M3 - Article
AN - SCOPUS:64249102506
VL - 238
SP - 923
EP - 930
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
IS - 9-10
ER -