Improvement of the WENO scheme smoothness estimator

Yiqing Shen, GeCheng Zha

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

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
Pages (from-to)653-675
Number of pages23
JournalInternational Journal for Numerical Methods in Fluids
Volume64
Issue number6
DOIs
StatePublished - Oct 30 2010

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WENO Scheme
Smoothness
Estimator
Numerical Accuracy
Experiments
Numerical Experiment
Robustness
Demonstrate

Keywords

  • 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

Cite this

Improvement of the WENO scheme smoothness estimator. / Shen, Yiqing; Zha, GeCheng.

In: International Journal for Numerical Methods in Fluids, Vol. 64, No. 6, 30.10.2010, p. 653-675.

Research output: Contribution to journalArticle

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