@Article{NMTMA-11-795,
author = {Xing Zhang, Li Luo and Xiaoping Wang},
title = {A Numerical Study of Fluid-Particle Interaction with Slip Boundary Condition},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2018},
volume = {11},
number = {4},
pages = {795--809},
abstract = {<p style="text-align: justify;">In this paper, we present a numerical study of the effect of slip in the fluid-particle
interaction. The motion of the particle is described by the Newton&#39;s second law
and the flows are simulated by solving the incompressible Navier-Stokes equations with
the Navier slip boundary condition. Numerical schemes are designed using the extended
finite element method (XFEM) combined with the temporary arbitrary Lagrangian-Eulerian
(tALE) technique. In this method, both the fluid dynamics and the motion of
particle are efficiently computed on a fixed Cartesian mesh. With the XFEM, the discontinuities
at the particle boundary are naturally captured by the Heaviside-enriched
finite element basis functions. With the tALE technique, field variables at the previous
time level are mapped onto the computational mesh at the current time level, hence
regeneration or deformation of meshes can be avoided. To study the effect of the slip,
we simulate the rotation of an ellipsoidal particle in a simple shear flow and compare
with the analytic results from the theory of Jeffery orbit.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2018.s07},
url = {http://global-sci.org/intro/article_detail/nmtma/12473.html}
}