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

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.