Improvement of weighted essentially non-oscillatory schemes near discontinuities

Yiqing Shen, Gecheng Zha

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


In this article, we analyze the fifth-order weighted essentially non-oscillatory (WENO-5) scheme and show that, at a transition point from smooth region to a discontinuity point or vice versa, the accuracy order of WENO-5 is decreased to third order. A new method is proposed to overcome this drawback by introducing fourth-order fluxes combined with high order smoothness indicator. Numerical examples show that the new method is more accurate near discontinuities with accuracy improved to fourth order.

Original languageEnglish (US)
Pages (from-to)1-9
Number of pages9
JournalComputers and Fluids
StatePublished - Jun 13 2014


  • High order scheme
  • Shock capturing
  • WENO scheme

ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)


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