Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 356, Issue -, Pages 319-339Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2017.11.029
Keywords
Immersed boundary method; Lubrication theory; Fluid-structure interaction; Eccentric rotating cylinders; Wall-induced migration
Funding
- National Science Foundation [DMS-1502851]
- Applied Mathematics Program of the U.S. Department of Energy (DOE) Office of Advanced Scientific Computing Research [DE-AC02-05CH11231]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1502851] Funding Source: National Science Foundation
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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. (c) 2017 Elsevier Inc. All rights reserved.
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