@Article{CiCP-9-1375,
author = {Yongguang Cheng, Hui Zhang and Chang Liu},
title = {Immersed Boundary-Lattice Boltzmann Coupling Scheme for Fluid-Structure Interaction with Flexible Boundary},
journal = {Communications in Computational Physics},
year = {2011},
volume = {9},
number = {5},
pages = {1375--1396},
abstract = {<p style="text-align: justify;">Coupling the immersed boundary (IB) method and the lattice Boltzmann
(LB) method might be a promising approach to simulate fluid-structure interaction
(FSI) problems with flexible structures and complex boundaries, because the former
is a general simulation method for FSIs in biological systems, the latter is an efficient
scheme for fluid flow simulations, and both of them work on regular Cartesian grids.
In this paper an IB-LB coupling scheme is proposed and its feasibility is verified. The
scheme is suitable for FSI problems concerning rapid flexible boundary motion and a
large pressure gradient across the boundary. We first analyze the respective concepts,
formulae and advantages of the IB and LB methods, and then explain the coupling
strategy and detailed implementation procedures. To verify the effectiveness and accuracy,
FSI problems arising from the relaxation of a distorted balloon immersed in a
viscous fluid, an unsteady wake flow caused by an impulsively started circular cylinder
at Reynolds number 9500, and an unsteady vortex shedding flow past a suddenly
started rotating circular cylinder at Reynolds number 1000 are simulated. The first
example is a benchmark case for flexible boundary FSI with a large pressure gradient
across the boundary, the second is a fixed complex boundary problem, and the third is
a typical moving boundary example. The results are in good agreement with the analytical
and existing numerical data. It is shown that the proposed scheme is capable of
modeling flexible boundary and complex boundary problems at a second-order spatial
convergence; the volume leakage defect of the conventional IB method has been remedied
by using a new method of introducing the unsteady and non-uniform external
force; and the LB method makes the IB method simulation simpler and more efficient.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.301009.211210s},
url = {http://global-sci.org/intro/article_detail/cicp/7558.html}
}