Improvement of weighted essentially non-oscillatory schemes near discontinuities

Yiqing Shen, GeCheng Zha

Research output: Contribution to journalArticle

22 Scopus citations

Abstract

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
Pages (from-to)1-9
Number of pages9
JournalComputers and Fluids
Volume96
DOIs
StatePublished - Jun 13 2014

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Keywords

  • High order scheme
  • Shock capturing
  • WENO scheme

ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)

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