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

School of Aeronautic Science and Engineering

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

Research output: Contribution to journal › Conference article › peer-review

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.

Original language	English
Article number	012015
Journal	Journal of Physics: Conference Series
Volume	2772
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/2772/1/012015
State	Published - 2024
Event	2023 International Conference on Mechanical, Aerospace and Electronic Systems, MAES 2023 - Hybrid, Johannesburg, South Africa Duration: 24 Nov 2023 → 26 Nov 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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T1 - An Energy Stable Alternative WENO Scheme with a New Smoothness Indicator for Hyperbolic Conservation Laws

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

Abstract

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