@Article{CiCP-12-2,
author = {},
title = {Viscoelastic Immersed Boundary Methods for Zero Reynolds Number Flow},
journal = {Communications in Computational Physics},
year = {2012},
volume = {12},
number = {2},
pages = {462--478},
abstract = {<p style="text-align: justify;">The immersed boundary method has been extensively used to simulate the
motion of elastic structures immersed in a viscous fluid. For some applications, such as
modeling biological materials, capturing internal boundary viscosity is important. We
present numerical methods for simulating Kelvin-Voigt and standard linear viscoelastic structures immersed in zero Reynolds number flow. We find that the explicit time
immersed boundary update is unconditionally unstable above a critical boundary to
fluid viscosity ratio for a Kelvin-Voigt material. We also show there is a severe time
step restriction when simulating a standard linear boundary with a small relaxation
time scale using the same explicit update. A stable implicit method is presented to
overcome these computation challenges.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.050211.090811s},
url = {https://global-sci.com/article/80782/viscoelastic-immersed-boundary-methods-for-zero-reynolds-number-flow}
}