@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 = {

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.
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.

}, issn = {1991-7120}, doi = {https://doi.org/ 10.4208/cicp.OA-2016-0109}, url = {http://global-sci.org/intro/article_detail/cicp/13349.html} }