Lagrangian Mesh Model with Regridding for Planar Poiseuille Flow. (3rd May 2017)

• Record Type: Journal Article
• Authors: Zhuo, Jingxuan; Cortez, Ricardo; Dillon, Robert
• Is Part Of: Communications in computational physics. Volume 22:Number 1(2017:Jul.)
• Page Start: 112
• Page End: 132
• Publication Date: 2017-05-03
• Subjects: 74F10, -- 76Z05, -- 65M06, -- 92C10, -- 74S20, -- 74L15; Lagrangian mesh model, -- Oldroyd-B, -- immersed boundary method, -- viscoelastic fluid, -- regridding methods; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.OA-2016-0109
• Languages: English
• ISSNs: 1815-2406

Abstract

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 Oldfoyd-B model.