@Article{CiCP-12-2,
author = {},
title = {A Full Eulerian Fluid-Membrane Coupling Method with a Smoothed Volume-of-Fluid Approach},
journal = {Communications in Computational Physics},
year = {2012},
volume = {12},
number = {2},
pages = {544--576},
abstract = {<p style="text-align: justify;">A novel full Eulerian fluid-elastic membrane coupling method on the fixed
Cartesian coordinate mesh is proposed within the framework of the volume-of-fluid
approach. The present method is based on a full Eulerian fluid-(bulk) structure coupling solver (Sugiyama <em>et al., J. Comput. Phys</em>., <strong>230 </strong>(2011) 596–627), with the bulk
structure replaced by elastic membranes. In this study, a closed membrane is considered, and it is described by a volume-of-fluid or volume-fraction information generally
called VOF function. A smoothed indicator (or characteristic) function is introduced
as a phase indicator which results in a smoothed VOF function. This smoothed VOF
function uses a smoothed delta function, and it enables a membrane singular force to
be incorporated into a mixture momentum equation. In order to deal with a membrane deformation on the Eulerian mesh, a deformation tensor is introduced and updated within a compactly supported region near the interface. Both the neo-Hookean
and the Skalak models are employed in the numerical simulations. A smoothed (and
less dissipative) interface capturing method is employed for the advection of the VOF
function and the quantities defined on the membrane. The stability restriction due to
membrane stiffness is relaxed by using a quasi-implicit approach. The present method
is validated by using the spherical membrane deformation problems, and is applied to
a pressure-driven flow with the biconcave membrane capsules (red blood cells).</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.141210.110811s},
url = {https://global-sci.com/article/80787/a-full-eulerian-fluid-membrane-coupling-method-with-a-smoothed-volume-of-fluid-approach}
}