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CLC number: O354.4; O354.5
On-line Access: 2020-06-11
Received: 2020-01-19
Revision Accepted: 2020-06-22
Crosschecked: 2020-07-15
Cited: 0
Clicked: 3215
Citations: Bibtex RefMan EndNote GB/T7714
https://orcid.org/0000-0002-8116-0668
Efficient WENOCU4 scheme with three different adaptive switches
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Liang Li, Hong-bo Wang, Guo-yan Zhao, Ming-bo Sun, Da-peng Xiong, Tao Tang. Efficient WENOCU4 scheme with three different adaptive switches[J]. Journal of Zhejiang University Science A, 2020, 21(9): 695-720.
@article{title="Efficient WENOCU4 scheme with three different adaptive switches",
author="Liang Li, Hong-bo Wang, Guo-yan Zhao, Ming-bo Sun, Da-peng Xiong, Tao Tang",
journal="Journal of Zhejiang University Science A",
volume="21",
number="9",
pages="695-720",
year="2020",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A2000006"
}
%0 Journal Article
%T Efficient WENOCU4 scheme with three different adaptive switches
%A Liang Li
%A Hong-bo Wang
%A Guo-yan Zhao
%A Ming-bo Sun
%A Da-peng Xiong
%A Tao Tang
%J Journal of Zhejiang University SCIENCE A
%V 21
%N 9
%P 695-720
%@ 1673-565X
%D 2020
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A2000006
TY - JOUR
T1 - Efficient WENOCU4 scheme with three different adaptive switches
A1 - Liang Li
A1 - Hong-bo Wang
A1 - Guo-yan Zhao
A1 - Ming-bo Sun
A1 - Da-peng Xiong
A1 - Tao Tang
J0 - Journal of Zhejiang University Science A
VL - 21
IS - 9
SP - 695
EP - 720
%@ 1673-565X
Y1 - 2020
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A2000006
Abstract: Although classical WENOCU schemes can achieve high-order accuracy by introducing a moderate constant parameter C to increase the contribution of optimal weights, they exhibit distinct numerical dissipation in smooth regions. This study presents an extension of our previous research which confirmed that adaptively adjusting parameter C can indeed overcome the inadequacy of the usage of a constant small value. Cmin is applied near a discontinuity while Cmax is used elsewhere and they are switched according to the variation of the local flow-field property. This study provides the reference values of the adaptive parameter C of WENOCU4 and systematically evaluates the comprehensive performance of three different switches (labeled as the binary, continuous, and hyperbolic tangent switches, respectively) based on an optimized efficient WENOCU4 scheme (labeled as EWENOCU4). Varieties of 1D scalar equations, empirical dispersion relation analysis, and multi-dimensional benchmark cases of Euler equations are analyzed. Generally, the dissipation and dispersion properties of these three switches are similar. Especially, employing the binary switch, EWENOCU4 achieves the best comprehensive properties. Specifically, the binary switch can efficiently filter more misidentifications in smooth regions than others do, particularly for the cases of 1D scalar equations and Euler equations. Also, the computational efficiency of the binary switch is superior to that of the hyperbolic tangent switch. Moreover, the optimized scheme exhibits high-resolution spectral properties in the wavenumber space. Therefore, employing the binary switch is a more cost-effective improvement for schemes and is particularly suitable for the simulation of complex shock/turbulence interaction. This study provides useful guidance for the reference values of parameter C and the evaluation of adaptive switches.
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