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Lubricated Immersed Boundary Method in Two Dimensions. (arXiv:1701.08865v2 [math.NA] UPDATED)
来源于:arXiv
Many real-world 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 capsule near a wall in shear flow. We also simulate the
dynamics of a deformable vesicle traveling through a narrow channel and observe
that the ability of the lubricated method to capture the vesicle motion is 查看全文>>