In Zhu,Wang and Gao(SIAM J.Sci.Comput.,43(2021),pp.A3009–A3031),we proposed a new framework of troubled-cell indicator(TCI)using K-means clustering and the numerical results demonstrate that it can detect the trouble...In Zhu,Wang and Gao(SIAM J.Sci.Comput.,43(2021),pp.A3009–A3031),we proposed a new framework of troubled-cell indicator(TCI)using K-means clustering and the numerical results demonstrate that it can detect the troubled cells accurately using the KXRCF indication variable.The main advantage of this TCI framework is its great potential of extensibility.In this follow-up work,we introduce three more indication variables,i.e.,the TVB,Fu-Shu and cell-boundary jump indication variables,and show their good performance by numerical tests to demonstrate that the TCI framework offers great flexibility in the choice of indication variables.We also compare the three indication variables with the KXRCF one,and the numerical results favor the KXRCF and the cell-boundary jump indication variables.展开更多
基金We thank the anonymous reviewers and the editor for their valuable comments and suggestions.The research of Z.Gao is partially supported by the National Key R&D Program of China(No.2021YFF0704002)The four authors,Z.Wang,Z.Gao,H.Wang and H.Zhu,want to acknowledge the funding support by NSFC grant No.11871443+3 种基金The research of Z.Wang and H.Zhu is also partially sponsored by NUPTSF(Grant No.NY220040)Natural Science Foundation of Jiangsu Province of China(No.BK20191375)Postgraduate Research&Practice Innovation Program of Jiangsu Province under Grant No.KYCX200787The research of Q.Zhang is partially supported by NSFC grant No.12071214.
文摘In Zhu,Wang and Gao(SIAM J.Sci.Comput.,43(2021),pp.A3009–A3031),we proposed a new framework of troubled-cell indicator(TCI)using K-means clustering and the numerical results demonstrate that it can detect the troubled cells accurately using the KXRCF indication variable.The main advantage of this TCI framework is its great potential of extensibility.In this follow-up work,we introduce three more indication variables,i.e.,the TVB,Fu-Shu and cell-boundary jump indication variables,and show their good performance by numerical tests to demonstrate that the TCI framework offers great flexibility in the choice of indication variables.We also compare the three indication variables with the KXRCF one,and the numerical results favor the KXRCF and the cell-boundary jump indication variables.
