Simulations of single- and multi-species compressible flows with shock wavesand discontinuities are conducted using a weighted compact nonlinear scheme(WCNS) with a newly developed sixth order localized dissipative interpolation.In smooth regions, the scheme applies the central nonlinear interpolation withminimum dissipation to well resolve fluctuating flow features while in regionscontaining discontinuities and high wavenumber features, the scheme suppressesspurious numerical oscillations by hybridizing the central interpolation withthe more dissipative upwind-biased nonlinear interpolation. In capturingmaterial interfaces between species of different densities, aquasi-conservative five equation model that can conserve mass of each speciesis used to prevent pressure oscillations across the interfaces. Compared toupwind-biased interpolations with classical nonlinear weights and improvedweights, and the interpolation with adaptive central-upwind weights forscale-separation, it is shown that WCNS with the proposed localized dissipativeinterpolation has better performance to simultaneously capture discontinuitiesand resolve smooth features.
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