@article{b3e636d0cfa443109e6b26d37f4e7a48,
title = "An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws",
abstract = "An alternative formulation of conservative weighted essentially non-oscillatory (WENO) finite difference scheme with the classical WENO-JS weights (Jiang et al. (2013) [6]) has been successfully used for solving hyperbolic conservation laws. However, it fails to achieve the optimal order of accuracy at the critical points of a smooth function. Here, we demonstrate that the WENO-Z weights (Borges et al. (2008) [1]) should be employed to recover the optimal order of accuracy at the critical points. Several one- and two-dimensional benchmark problems show the improved performance in terms of accuracy, resolution and shock capturing.",
keywords = "Alternative WENO scheme, Hyperbolic conservation laws, WENO weights",
author = "Wang, {Bao Shan} and Peng Li and Zhen Gao and Don, {Wai Sun}",
note = "The authors would like to acknowledge the funding support of this research by the National Science and Technology Major Project (20101010), Shandong Provincial Natural Science Foundation (ZR2017MA016) and Fundamental Research Funds for the Central Universities (201562012). The author (Don) also likes to thank the Ocean University of China for providing the startup funding (201712011) that is used in supporting this work. The author (Li) also likes to thank the Shijiazhuang Tiedao University for providing the startup funding (Z6811021064) that is used in supporting this work. Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",
year = "2018",
month = dec,
day = "1",
doi = "10.1016/j.jcp.2018.07.052",
language = "English",
volume = "374",
pages = "469--477",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Academic Press Inc.",
}
