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A multiple-relaxation-time discrete Boltzmann model (DBM) is proposed formulticomponent mixtures, where compressible, hydrodynamic, and thermodynamicnonequilibrium effects are taken into account. It allows the specific heatratio and the Prandtl number to be adjustable, and is suitable for both low andhigh speed fluid flows. From the physical side, besides being consistent withthe multicomponent Navier-Stokes equations, Fick's law and Stefan-Maxwelldiffusion equation in the hydrodynamic limit, the DBM provides more kineticinformation about the nonequilibrium effects. The physical capability of DBM todescribe the nonequilibrium flows, beyond the Navier-Stokes representation,enables the study of the entropy production mechanism in complex flows,especially in multicomponent mixtures. Moreover, the current kinetic model isemployed to investigate nonequilibrium behaviors of the compressibleKelvin-Helmholtz instability (KHI). It is found that, in the dynamic KHIprocess, the mixing degree and fluid flow are similar for cases with variousthermal conductivity and initial temperature configurations. Physically, bothheat conduction and temperature exert slight influences on the formation andevolution of the KHI.

Multiple-relaxation-time discrete Boltzmann modeling of multicomponent mixture with nonequilibrium effects