Improvement of the WENO scheme smoothness estimator

Yiqing Shen, Gecheng Zha

Research output: Contribution to journalArticlepeer-review

68 Scopus citations


This paper has analyzed the weights of the fifth-order weighted essentially nonoscillatory scheme suggested by Jiang and Shu and a modified smoothness estimator is suggested to improve the accuracy. Using a function of the minimum and maximum of the original smoothness estimators, the new smoothness estimators have smaller variation among them than the original ones in smooth regions. Hence, as the new weights are closer to the optimal weights, the numerical accuracy is improved. Several numerical experiments are presented to demonstrate the accuracy and robustness of the new scheme.

Original languageEnglish (US)
Pages (from-to)653-675
Number of pages23
JournalInternational Journal for Numerical Methods in Fluids
Issue number6
StatePublished - Oct 30 2010


  • Finite difference scheme
  • Smoothness estimator
  • Weighted essentially nonoscillatory scheme

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics
  • Applied Mathematics
  • Mechanical Engineering
  • Mechanics of Materials


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