TY - JOUR
T1 - A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes
AU - Shi , Guo-Quan
AU - Zhu , Huajun
AU - Yan , Zhen-Guo
JO - Communications in Computational Physics
VL - 4
SP - 1215
EP - 1241
PY - 2022
DA - 2022/03
SN - 31
DO - http://doi.org/10.4208/cicp.OA-2021-0165
UR - https://global-sci.org/intro/article_detail/cicp/20382.html
KW - Flux reconstruction/correction procedure via reconstruction, shock capturing, subcell limiting, unstructured meshes.
AB - <p style="text-align: justify;">A priori subcell limiting approach is developed for high-order flux reconstruction/correction procedure via reconstruction (FR/CPR) methods on two-dimensional unstructured quadrilateral meshes. Firstly, a modified indicator based on
modal energy coefficients is proposed to detect troubled cells, where discontinuities
exist. Then, troubled cells are decomposed into nonuniform subcells and each subcell has one solution point. A second-order finite difference shock-capturing scheme
based on nonuniform nonlinear weighted (NNW) interpolation is constructed to perform the calculation on troubled cells while smooth cells are calculated by the CPR
method. Numerical investigations show that the proposed subcell limiting strategy on
unstructured quadrilateral meshes is robust in shock-capturing.</p>