AN ALTERNATIVE SMOOTHNESS MEASURE FORMULATION OF TARGETED ENO SCHEMES FOR COMPRESSIBLE FLOW SIMULATION

Indra Wibisono, Engkos A. Kosasih, Yanuar

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we propose an alternative smoothness measure formulation using power p = 2 of ratio (Formula presented) for TENO schemes. The spectral properties of the alternative scheme suggest comparable dissipation and dispersion with the original five-point TENO schemes. The advantage of this alternative scheme is a more distinct scale separation at a high wavenumber. Our numerical experiments reveal that the resolution in one-dimensional problems is quite similar to the original five-point TENO scheme. Despite this, the resolution in two-dimensional problems gives an alternative fine-scale structure.

Original languageEnglish
Pages (from-to)555-574
Number of pages20
JournalInternational Journal of Applied Mathematics
Volume34
Issue number3
DOIs
Publication statusPublished - 2021

Keywords

  • finite-volume method
  • high-order schemes
  • low-dissipation schemes
  • shockcapturing schemes
  • TENO

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