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Peer reviewed
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An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation lawsWang, Bao-Shan; Li, Peng; Gao, Zhen; Don, Wai Sun
Journal of computational physics, 12/2018, Volume: 374Journal Article
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.
