Improved seventh-order WENO scheme

Yiqing Shen, GeCheng Zha

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

10 Citations (Scopus)

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
Title of host publication48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition
StatePublished - Dec 13 2010
Event48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition - Orlando, FL, United States
Duration: Jan 4 2010Jan 7 2010

Other

Other48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition
CountryUnited States
CityOrlando, FL
Period1/4/101/7/10

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ASJC Scopus subject areas

  • Aerospace Engineering

Cite this

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]

Improved seventh-order WENO scheme. / Shen, Yiqing; Zha, GeCheng.

48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. 2010. 2010-1451.

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

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, Orlando, FL, United States, 1/4/10.
Shen Y, Zha G. Improved seventh-order WENO scheme. In 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. 2010. 2010-1451
Shen, Yiqing ; Zha, GeCheng. / Improved seventh-order WENO scheme. 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. 2010.
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