Improvement of weighted essentially non-oscillatory schemes near discontinuities

Yiqing Shen, Gecheng Zha

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

11 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. A new method is proposed to overcome this drawback by introducing 4th-order fluxes combined with high order smoothness indicator. Numerical examples show that the new method is more accurate near discontinuities.

Original languageEnglish (US)
Title of host publication19th AIAA Computational Fluid Dynamics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781563479755
DOIs
StatePublished - Jan 1 2009

Publication series

Name19th AIAA Computational Fluid Dynamics Conference

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Automotive Engineering

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    Shen, Y., & Zha, G. (2009). Improvement of weighted essentially non-oscillatory schemes near discontinuities. In 19th AIAA Computational Fluid Dynamics Conference [2009-3655] (19th AIAA Computational Fluid Dynamics Conference). American Institute of Aeronautics and Astronautics Inc.. https://doi.org/10.2514/6.2009-3655