학술논문

Lubricated immersed boundary method in two dimensions
Document Type
article
Author
Source
Subject
Immersed boundary method
Lubrication theory
Fluid-structure interaction
Eccentric rotating cylinders
Wall-induced migration
math.NA
65M99 (Primary) 76D08
76Z05
Mathematical Sciences
Physical Sciences
Engineering
Applied Mathematics
Language
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.