@Article{CiCP-22-1385,
author = {Yilang Liu, Weiwei Zhang and Chunna Li},
title = {A Novel Multi-Dimensional Limiter for High-Order Finite Volume Methods on Unstructured Grids},
journal = {Communications in Computational Physics},
year = {2017},
volume = {22},
number = {5},
pages = {1385--1412},
abstract = {<p style="text-align: justify;">This paper proposes a novel distance derivative weighted ENO (DDWENO)
limiter based on fixed reconstruction stencil and applies it to the second- and high-order
finite volume method on unstructured grids. We choose the standard deviation
coefficients of the flow variables as the smooth indicators by using the k-exact reconstruction
method, and obtain the limited derivatives of the flow variables by weighting
all derivatives of each cell according to smoothness. Furthermore, an additional
weighting coefficient related to distance is introduced to emphasize the contribution
of the central cell in smooth regions. The developed limiter, combining the advantages
of the slope limiters and WENO-type limiters, can achieve the similar effect of WENO
schemes in the fixed stencil with high computational efficiency. The numerical cases
demonstrate that the DDWENO limiter can preserve the numerical accuracy in smooth
regions, and capture the shock waves clearly and steeply as well.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2017-0039},
url = {http://global-sci.org/intro/article_detail/cicp/10447.html}
}