Local Adaption and Dissipation Properties of a Weighted Essentially Non-Oscillatory Scheme

We perform several direct numerical simulations (DNS) of decaying isotropic turbulencewith various initial turbulent mach numbers Mt using a modifiedi weighted essentially
non-oscillatory (WENO) method. We then present a procedure for the identification of
shock-containing and smooth regions where the WENO scheme should respectively engage
its adaption mechanism and revert to its linear optimal stencil. Weirsi has previously
proposed the centrality index CI and nonlinearity index NI as two quantitative measures
of stencil adaption, and we analyze these values within the regions of interest in the DNS
flow fields. Our preliminary results indicate that these indices are suitable for assessments
of the local adaption and dissipation properties of the WENO method; however, further
studies must be conducted over a wider range of compressible flow conditions.