@Article{CiCP-22-2,
author = {},
title = {On 16th and 32nd Order Multioperators-Based Schemes for Smooth and Discontinuous Fluid Dynamics Solutions},
journal = {Communications in Computational Physics},
year = {2017},
volume = {22},
number = {2},
pages = {572--598},
abstract = {<p style="text-align: justify;">The paper presents a novel family of arbitrary high order multioperators approximations
for convection, convection-diffusion or the fluid dynamics equations. As
particular cases, the 16th- and 32nd-order skew-symmetric multioperators for derivatives
supplied by the 15th- and 31st-order dissipation multioperators are described.
Their spectral properties and the comparative efficiency of the related schemes in the
case of smooth solutions are outlined. The ability of the constructed conservative
schemes to deal with discontinuous solutions is investigated. Several types of nonlinear
hybrid schemes are suggested and tested against benchmark problems.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.141015.240217a},
url = {https://global-sci.com/article/80152/on-16th-and-32nd-order-multioperators-based-schemes-for-smooth-and-discontinuous-fluid-dynamics-solutions}
}