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Inverse design of mesoscopic models for compressible flow using the Chapman-Enskog analysis

Inverse design of mesoscopic models for compressible flow using the Chapman-Enskog analysis

Abstract In this paper, based on simplified Boltzmann equation, we explore the inverse-design of mesoscopic models for compressible flow using the Chapman-Enskog analysis. Starting from the single-relaxation-time Boltzmann equation with an additional source term, two model Boltzmann equations for two reduced distribution functions are obtained, each then also having an …