An Energy Stable Alternative WENO Scheme with a New Smoothness Indicator for Hyperbolic Conservation Laws

Shuai Lou; Yi Peng Ren; Xue Jun Yang; Zhao Wei Wang; Kang Zhong; Chao Yan

doi:10.1088/1742-6596/2772/1/012015

An Energy Stable Alternative WENO Scheme with a New Smoothness Indicator for Hyperbolic Conservation Laws

Shuai Lou
, Yi Peng Ren
, Xue Jun Yang
, Zhao Wei Wang
, Kang Zhong
, Chao Yan

航空科学与工程学院

Beijing Institute of Astronautical Systems Engineering
Beihang University
China Aerospace Science and Technology Corporation
Shanghai Institute of Mechanical and Electrical Engineering

科研成果: 期刊稿件 › 会议文章 › 同行评审

摘要

An energy stable alternative weighted Essentially Non-Oscillatory (WENO) scheme with a new smoothness indicator (EAWN) is proposed in this paper. The developed EAWN scheme is stable for linear problems by adding a correction operator and can recover the designed order of accuracy at critical points with no dependency on user-defined parameter for smoothness indicators. Application of EAWN in one-dimensional and two-dimensional hyperbolic conservation laws also indicates the superiority of the new method over its non-modified version in terms of shock-capturing and vorticity-resolving.

源语言	英语
文章编号	012015
期刊	Journal of Physics: Conference Series
卷	2772
期	1
DOI	https://doi.org/10.1088/1742-6596/2772/1/012015
出版状态	已出版 - 2024
活动	2023 International Conference on Mechanical, Aerospace and Electronic Systems, MAES 2023 - Hybrid, Johannesburg, 南非期限: 24 11月 2023 → 26 11月 2023

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title = "An Energy Stable Alternative WENO Scheme with a New Smoothness Indicator for Hyperbolic Conservation Laws",

abstract = "An energy stable alternative weighted Essentially Non-Oscillatory (WENO) scheme with a new smoothness indicator (EAWN) is proposed in this paper. The developed EAWN scheme is stable for linear problems by adding a correction operator and can recover the designed order of accuracy at critical points with no dependency on user-defined parameter for smoothness indicators. Application of EAWN in one-dimensional and two-dimensional hyperbolic conservation laws also indicates the superiority of the new method over its non-modified version in terms of shock-capturing and vorticity-resolving.",

author = "Shuai Lou and Ren, \{Yi Peng\} and Yang, \{Xue Jun\} and Wang, \{Zhao Wei\} and Kang Zhong and Chao Yan",

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AU - Lou, Shuai

AU - Ren, Yi Peng

AU - Yang, Xue Jun

AU - Wang, Zhao Wei

AU - Zhong, Kang

AU - Yan, Chao

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2024

Y1 - 2024

N2 - An energy stable alternative weighted Essentially Non-Oscillatory (WENO) scheme with a new smoothness indicator (EAWN) is proposed in this paper. The developed EAWN scheme is stable for linear problems by adding a correction operator and can recover the designed order of accuracy at critical points with no dependency on user-defined parameter for smoothness indicators. Application of EAWN in one-dimensional and two-dimensional hyperbolic conservation laws also indicates the superiority of the new method over its non-modified version in terms of shock-capturing and vorticity-resolving.

AB - An energy stable alternative weighted Essentially Non-Oscillatory (WENO) scheme with a new smoothness indicator (EAWN) is proposed in this paper. The developed EAWN scheme is stable for linear problems by adding a correction operator and can recover the designed order of accuracy at critical points with no dependency on user-defined parameter for smoothness indicators. Application of EAWN in one-dimensional and two-dimensional hyperbolic conservation laws also indicates the superiority of the new method over its non-modified version in terms of shock-capturing and vorticity-resolving.

UR - https://www.scopus.com/pages/publications/85197778463

U2 - 10.1088/1742-6596/2772/1/012015

DO - 10.1088/1742-6596/2772/1/012015

M3 - 会议文章

AN - SCOPUS:85197778463

SN - 1742-6588

VL - 2772

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012015

T2 - 2023 International Conference on Mechanical, Aerospace and Electronic Systems, MAES 2023

Y2 - 24 November 2023 through 26 November 2023

ER -

An Energy Stable Alternative WENO Scheme with a New Smoothness Indicator for Hyperbolic Conservation Laws

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