@Article{CiCP-22-112,
author = {Zhuo , JingxuanCortez , Ricardo and Dillon , Robert},
title = {Lagrangian Mesh Model with Regridding for Planar Poiseuille Flow},
journal = {Communications in Computational Physics},
year = {2019},
volume = {22},
number = {1},
pages = {112--132},
abstract = {<p style="text-align: justify;">Many biological settings involve complex fluids that have non-Newtonian
mechanical responses that arise from suspended microstructures. In contrast, Newtonian fluids are liquids or mixtures of a simple molecular structure that exhibit a linear
relationship between the shear stress and the rate of deformation. In modeling complex fluids, the extra stress from the non-Newtonian contribution must be included in
the governing equations.<br/>In this study we compare Lagrangian mesh and Oldroyd-B formulations of fluid-structure interaction in an immersed boundary framework. The start-up phase of planar Poiseuille flow between two parallel plates is used as a test case for the fluid models. For Newtonian and Oldroyd-B fluids there exist analytical solutions which are
used in the comparison of simulation and theoretical results. The Lagrangian mesh
results are compared with Oldroyd-B using comparable parameters. A regridding algorithm is introduced for the Lagrangian mesh model. We show that the Lagrangian
mesh model simulations with regridding produce results in close agreement with the
Oldroyd-B model.</p>},
issn = {1991-7120},
doi = {https://doi.org/ 10.4208/cicp.OA-2016-0109},
url = {http://global-sci.org/intro/article_detail/cicp/13349.html}
}