Year: 2022
Author: Guo-Quan Shi, Huajun Zhu, Zhen-Guo Yan
Communications in Computational Physics, Vol. 31 (2022), Iss. 4 : pp. 1215–1241
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2021-0165
Communications in Computational Physics, Vol. 31 (2022), Iss. 4 : pp. 1215–1241
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Flux reconstruction/correction procedure via reconstruction shock capturing subcell limiting unstructured meshes.