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Fig. 4

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Distributions of the mass fraction X of the passive scalar in simulations of the Kelvin–Helmholtz instability with the initial Mach number M$\[\boldsymbol{\mathcal{M}}\]$0 = 10−2 on a 128 × 64 grid. The results are shown at t = 0.8 M$\[\boldsymbol{\mathcal{M}}\]$0−1. Rows and columns show different reconstruction schemes and numerical flux functions, respectively. The color scale intentionally shows values X < 0 and X > 1 to highlight the overshoots that some of the schemes produce. The absolute value of the largest overshoot outside of this range is given in each panel.

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