@Article{CiCP-24-830,
author = {Bin Yan, Wei Bai and Ser Tong Quek},
title = {An Improved Immersed Boundary Method with New Forcing Point Searching Scheme for Simulation of Bodies in Free Surface Flows},
journal = {Communications in Computational Physics},
year = {2018},
volume = {24},
number = {3},
pages = {830--859},
abstract = {<p style="text-align: justify;">An improved immersed boundary method is proposed and applied to simulate
fluid-structure interactions by combining a level set method for free water surface
capturing. An efficient Navier-Stokes equation solver adopting the fractional step
method at a staggered Cartesian grid system is used to solve the incompressible fluid
motion. A new efficient algorithm to search forcing points near the immersed body
boundary is developed. The searching schemes for forcing points located both inside
and outside the solid phase with the linear interpolation schemes for the determination
of velocities at forcing points are presented and compared via the case of dam break
over obstacles. The accuracy and effectiveness of the proposed forcing point searching
schemes are further demonstrated by the study of wave propagation over a submerged
bar and more challenging cases of wedge with prescribed velocity or falling freely into
the water. By the extensive comparison of present numerical results with other experimental
and numerical data, it suggests that the present improved immersed boundary
method with the new forcing point searching scheme has a better performance and is
very promising due to its accuracy, efficiency and ease of implementation. Furthermore,
the present numerical results show that the outside forcing scheme is superior
over the inside forcing scheme.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2017-0107},
url = {http://global-sci.org/intro/article_detail/cicp/12283.html}
}