Improved seventh-order WENO scheme

Yiqing Shen, Gecheng Zha

Research output: Chapter in Book/Report/Conference proceedingConference contribution

11 Scopus citations

Abstract

In this paper, an improved seventh-order WENO (WENO-Z7) scheme is suggested by extending the 5th-order WENO scheme of Borges et al[R. Borges, M. Carmona, B. Costa, W. S. Don, An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws, J. Comput. Phys. 227(2008) 3191-3211]. The sufficient condition for seventh-order accuracy is described for the new smoothness indicator. The role of the parameter ε, which is used to construct the weights of WENO schemes to prevent the denominator from being zero, is discussed, and an optimized value of ε is suggested to improve the convergence and accuracy for practical applications.

Original languageEnglish (US)
Title of host publication48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781600867392
DOIs
StatePublished - Jan 1 2010

Publication series

Name48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition

ASJC Scopus subject areas

  • Aerospace Engineering

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    Shen, Y., & Zha, G. (2010). Improved seventh-order WENO scheme. In 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition [2010-1451] (48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition). American Institute of Aeronautics and Astronautics Inc.. https://doi.org/10.2514/6.2010-1451