An adaptive central-upwind weighted essentially non-oscillatory scheme

X. Y. Hu, Q. Wang, N. A. Adams

Research output: Contribution to journalArticlepeer-review

279 Scopus citations

Abstract

In this work, an adaptive central-upwind 6th-order weighted essentially non-oscillatory (WENO) scheme is developed. The scheme adapts between central and upwind schemes smoothly by a new weighting relation based on blending the smoothness indicators of the optimal higher order stencil and the lower order upwind stencils. The scheme achieves 6th-order accuracy in smooth regions of the solution by introducing a new reference smoothness indicator. A number of numerical examples suggest that the present scheme, while preserving the good shock-capturing properties of the classical WENO schemes, achieves very small numerical dissipation.

Original languageEnglish
Pages (from-to)8952-8965
Number of pages14
JournalJournal of Computational Physics
Volume229
Issue number23
DOIs
StatePublished - Nov 2010

Keywords

  • Compressible flow
  • High-order scheme
  • Numerical method

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