Open AccessImproved weighted NND scheme for shock-capturing
Author(s) -
Chen Li,
Jianqiang Chen,
Xianxu Yuan,
Pengxin Liu,
Dong Sun,
Qilong Guo
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1786/1/012043
Subject(s) - smoothness , dissipation , weighting , shock (circulatory) , scheme (mathematics) , mathematics , euler's formula , euler equations , order (exchange) , computer science , mathematical analysis , physics , medicine , finance , acoustics , economics , thermodynamics
Aimed at decreasing the numerical dissipation of weighted non-oscillatory and non-free-parameter dissipation (WNND) scheme, we present an improved counterpart for shock-capturing. The new algorithm is based on the framework of Z-type weighting procedure with new local and global smoothness indicators. The performances of the proposed scheme are evaluated on several numerical tests governed by one-dimensional Euler equations. Numerical results indicate that the improved WNND scheme has advantages over the original WNND and third-order WENO-JS and WENO-Z schemes.