AN ALTERNATIVE SMOOTHNESS MEASURE
FORMULATION OF TARGETED ENO SCHEMES
FOR COMPRESSIBLE FLOW SIMULATION
Indra Wibisono1, Engkos A. Kosasih2, Yanuar3
1,2,3 Department of Mechanical Engineering
Universitas Indonesia
16424 Depok, Jawa Barat, INDONESIA

Abstract

In this paper, we propose an alternative smoothness measure formulation using power $p=2$ of ratio $\tfrac{{{\tau }_{K}}}{{{\beta }_{k,r}}}$ 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.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 34
Issue: 3
Year: 2021

DOI: 10.12732/ijam.v34i3.10

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