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arXiv · 1210.3544

A high-efficiency and low-dissipation hybrid weighted essentially non-oscillatory scheme

X. Y. Hu·B. Wang·N. A. Adams
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Abstract

In this paper, we propose a simple hybrid WENO scheme to increase computational efficiency and decrease numerical dissipation. Based on the characteristic-wise approach, the scheme switches the numerical flux of each characteristic variables between that of WENO scheme and its optimal linear scheme according to a discontinuity detector measuring the non-resolvability of the linear scheme. A number of numerical examples computed with 5th-order WENO scheme suggested that, while achieving very small numerical dissipation and good robustness, the computational effort on WENO flux used in the hybrid scheme is negligible.

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X. Y. Hu, B. Wang, N. A. Adams. 2012-10-12. A high-efficiency and low-dissipation hybrid weighted essentially non-oscillatory scheme. https://doi.org/10.1016/j.jcp.2015.08.043

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