Wednesday, February 15, 2012

1202.3034 (Mourad Ismail et al.)

A "Necklace" Model for Vesicles Simulations in 2D    [PDF]

Mourad Ismail, Aline Lefebvre-Lepot
The aim of this paper is to propose a new numerical model to simulate 2D
vesicles interacting with a newtonian fluid. The inextensible membrane is
modeled by a chain of circular rigid particles which are maintained in cohesion
by using two different type of forces. First, a spring force is imposed between
neighboring particles in the chain. Second, in order to model the bending of
the membrane, each triplet of successive particles is submitted to an angular
force. Numerical simulations of vesicles in shear flow have been run using
Finite Element Method and the FreeFem++[1] software. Exploring different ratios
of inner and outer viscosities, we recover the well known "Tank-Treading" and
"Tumbling" motions predicted by theory and experiments. Moreover, for the first
time, 2D simulations of the "Vacillating-Breathing" regime predicted by theory
in [2] and observed experimentally in [3] are done without special ingredient
like for example thermal fluctuations used in [4].
View original: http://arxiv.org/abs/1202.3034

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