Accuracy of MUSCL-Type Schemes in Shock Wave Calculations

O. A. Kovyrkina, V. V. Ostapenko

Research output: Contribution to journalLetterpeer-review

Abstract

The central-difference Nessyahu–Tadmor (NT) scheme is considered, which is built using second-order MUSCL reconstruction of fluxes. The accuracy of the NT scheme is studied as applied to calculating shock waves propagating with a variable velocity. It is shown that this scheme has the first order of integral convergence on intervals with one of the boundaries lying in the region of influence of the shock wave. As a result, the local accuracy of the NT scheme is significantly reduced in these areas. Test calculations are presented that demonstrate these properties of the NT scheme.

Original languageEnglish
Pages (from-to)209-213
Number of pages5
JournalDoklady Mathematics
Volume101
Issue number3
DOIs
Publication statusPublished - 1 May 2020

Keywords

  • : NT scheme
  • accuracy of finite-difference scheme
  • MUSCL flux reconstruction
  • shock wave
  • NT scheme

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