Improved high-order high-resolution energy stable weighted essentially non-oscillatory plus scheme for shock/vortex problems

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In the present study, a high-order high-resolution energy stable weighted essentially non-oscillatory plus (ESWENO-P) scheme was developed by improving the weighting function in the energy stable weighted essentially non-oscillatory (ESWENO) scheme. First, the weighting function was modified by introducing a new user-defined parameter. Then, the fine-tuning term in the weighted essentially non-oscillatory-Z plus (WENO-ZP) scheme was adopted to the modified weighting function. A parametric study was conducted to determine the value of the user-defined parameter included in the fine-tuning term. To validate the accuracy and the resolution of the present ESWENO-P scheme, well known one- and two-dimensional benchmark flow problems involving shocks and vortices were tested. It was found that, compared to the ESWENO, the present ESWENO-P scheme is more stable near strong discontinuities. It was also observed that, compared to the WENO-ZP, the present ESWENO-P scheme was less sensitive to the user-defined parameter included in the fine-tuning term. Overall, compared to the existing weighted essentially non-oscillatory (WENO) family schemes, the present ESWENO-P scheme consistently resolves flows with high resolution without much computational overhead.& nbsp;(C) 2022 Author(s).All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY)license (http://creativecommons.org/licenses/by/4.0/).
Publisher
AIP Publishing
Issue Date
2022-04
Language
English
Article Type
Article
Citation

AIP ADVANCES, v.12, no.4

ISSN
2158-3226
DOI
10.1063/5.0083675
URI
http://hdl.handle.net/10203/296714
Appears in Collection
AE-Journal Papers(저널논문)
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