TY - JOUR
T1 - Constrained Interpolation Profile Conservative Semi-Lagrangian Scheme Based on Third-Order Polynomial Functions and Essentially Non-Oscillatory (CIP-CSL3ENO) Scheme
JO - Communications in Computational Physics
VL - 3
SP - 765
EP - 788
PY - 2017
DA - 2017/09
SN - 22
DO - http://doi.org/10.4208/cicp.OA-2016-0117
UR - https://global-sci.org/intro/article_detail/cicp/9980.html
KW - 
AB - <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>