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Title: Lubricated immersed boundary method in two dimensions

Abstract

Many biological examples of fluid-structure interaction, including the transit of red blood cells through the narrow slits in the spleen and the intracellular trafficking of vesicles into dendritic spines, involve the near-contact of elastic structures separated by thin layers of fluid. Motivated by such problems, we introduce an immersed boundary method that uses elements of lubrication theory to resolve thin fluid layers between immersed boundaries. We demonstrate 2nd-order accurate convergence for simple two-dimensional flows with known exact solutions to showcase the increased accuracy of this method compared to the standard immersed boundary method. Motivated by the phenomenon of wall-induced migration, we apply the lubricated immersed boundary method to simulate an elastic vesicle near a wall in shear flow. We also simulate the dynamics of a vesicle traveling through a narrow channel and observe the ability of the lubricated method to capture the vesicle motion on relatively coarse fluid grids.

Authors:
 [1];  [2]
  1. Harvard Univ., Cambridge, MA (United States). Paulson School of Engineering
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Mathematics Group
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21); National Science Foundation (NSF)
OSTI Identifier:
1526510
Grant/Contract Number:  
AC02-05CH11231; DMS-1502851
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 356; Journal Issue: C; Journal ID: ISSN 0021-9991
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
59 BASIC BIOLOGICAL SCIENCES

Citation Formats

Fai, Thomas G., and Rycroft, Chris H. Lubricated immersed boundary method in two dimensions. United States: N. p., 2017. Web. doi:10.1016/j.jcp.2017.11.029.
Fai, Thomas G., & Rycroft, Chris H. Lubricated immersed boundary method in two dimensions. United States. doi:10.1016/j.jcp.2017.11.029.
Fai, Thomas G., and Rycroft, Chris H. Tue . "Lubricated immersed boundary method in two dimensions". United States. doi:10.1016/j.jcp.2017.11.029. https://www.osti.gov/servlets/purl/1526510.
@article{osti_1526510,
title = {Lubricated immersed boundary method in two dimensions},
author = {Fai, Thomas G. and Rycroft, Chris H.},
abstractNote = {Many biological examples of fluid-structure interaction, including the transit of red blood cells through the narrow slits in the spleen and the intracellular trafficking of vesicles into dendritic spines, involve the near-contact of elastic structures separated by thin layers of fluid. Motivated by such problems, we introduce an immersed boundary method that uses elements of lubrication theory to resolve thin fluid layers between immersed boundaries. We demonstrate 2nd-order accurate convergence for simple two-dimensional flows with known exact solutions to showcase the increased accuracy of this method compared to the standard immersed boundary method. Motivated by the phenomenon of wall-induced migration, we apply the lubricated immersed boundary method to simulate an elastic vesicle near a wall in shear flow. We also simulate the dynamics of a vesicle traveling through a narrow channel and observe the ability of the lubricated method to capture the vesicle motion on relatively coarse fluid grids.},
doi = {10.1016/j.jcp.2017.11.029},
journal = {Journal of Computational Physics},
number = C,
volume = 356,
place = {United States},
year = {2017},
month = {12}
}

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