@Article{CiCP-26-768,
author = {Yulong Du, Li Yuan and Yahui Wang},
title = {A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids},
journal = {Communications in Computational Physics},
year = {2019},
volume = {26},
number = {3},
pages = {768--784},
abstract = {<p style="text-align: justify;">The modified dimension-by-dimension finite volume (FV) WENO method
on Cartesian grids proposed by Buchmüller and Helzel can retain the full order of accuracy of the one-dimensional WENO reconstruction and requires only one flux computation per interface. The high-order accurate conversion between face-averaged values and face-center point values is the main ingredient of this method. In this paper,
we derive sixth-order accurate conversion formulas on three-dimensional Cartesian
grids. It is shown that the resulting modified FV WENO method is efficient and high-order accurate when applied to smooth nonlinear multidimensional problems, and is
robust for calculating non-smooth nonlinear problems with strong shocks.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2018-0254},
url = {http://global-sci.org/intro/article_detail/cicp/13146.html}
}