@Article{CiCP-22-765,
author = {Qijie Li, Syazana Omar, Xi Deng and Kensuke Yokoi},
title = {Constrained Interpolation Profile Conservative Semi-Lagrangian Scheme Based on Third-Order Polynomial Functions and Essentially Non-Oscillatory (CIP-CSL3ENO) Scheme},
journal = {Communications in Computational Physics},
year = {2017},
volume = {22},
number = {3},
pages = {765--788},
abstract = {<p style="text-align: justify;">We propose a fully conservative and less oscillatory multi-moment scheme
for the approximation of hyperbolic conservation laws. The proposed scheme (CIP-CSL3ENO)
is based on two CIP-CSL3 schemes and the essentially non-oscillatory
(ENO) scheme. In this paper, we also propose an ENO indicator for the multi-moment
framework, which intentionally selects non-smooth stencil but can efficiently
minimize numerical oscillations. The proposed scheme is validated through various
benchmark problems and a comparison with an experiment of two droplets collision/separation.
The CIP-CSL3ENO scheme shows approximately fourth-order accuracy
for smooth solution, and captures discontinuities and smooth solutions simultaneously
without numerical oscillations for solutions which include discontinuities.
The numerical results of two droplets collision/separation (3D free surface flow simulation)
show that the CIP-CSL3ENO scheme can be applied to various types of fluid
problems not only compressible flow problems but also incompressible and 3D free
surface flow problems.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0117},
url = {http://global-sci.org/intro/article_detail/cicp/9980.html}
}