@Article{CiCP-22-4,
author = {},
title = {A Moving-Least-Square Immersed Boundary Method for Rigid and Deformable Boundaries in Viscous Flow},
journal = {Communications in Computational Physics},
year = {2017},
volume = {22},
number = {4},
pages = {913--934},
abstract = {<p style="text-align: justify;">We present a moving-least-square immersed boundary method for solving
viscous incompressible flow involving deformable and rigid boundaries on a uniform
Cartesian grid. For rigid boundaries, no-slip conditions at the rigid interfaces are enforced
using the immersed-boundary direct-forcing method. We propose a reconstruction
approach that utilizes moving least squares (MLS) method to reconstruct the velocity
at the forcing points in the vicinity of the rigid boundaries. For deformable
boundaries, MLS method is employed to construct the interpolation and distribution
operators for the immersed boundary points in the vicinity of the rigid boundaries
instead of using discrete delta functions. The MLS approach allows us to avoid distributing
the Lagrangian forces into the solid domains as well as to avoid using the
velocity of points inside the solid domains to compute the velocity of the deformable
boundaries. The present numerical technique has been validated by several examples
including a Poiseuille flow in a tube, deformations of elastic capsules in shear flow and
dynamics of red-blood cell in microfluidic devices.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0164},
url = {https://global-sci.com/article/80166/a-moving-least-square-immersed-boundary-method-for-rigid-and-deformable-boundaries-in-viscous-flow}
}