Kinetic Simulations of Compressible Non-Ideal Fluids: From Supercritical Flows to Phase-Change and Exotic Behavior

In this study, we present a thorough investigation of a compressible kinetic model for non-ideal fluids [DOI:10.1103/PhysRevE.102.020103]. The model imposes the local thermodynamic pressure through appropriate rescaling of the particle's velocities, which accounts for both long- and short-range effects and hence full thermodynamic consistency. The model is fully Galilean invariant and treats mass, momentum, and energy as local conservation laws. After detailed analysis and derivation of the hydrodynamic limit, the model's accuracy and robustness is assessed for various benchmark simulations ranging from Joule-Thompson effect, phase-change and high-speed flows. We show that our model can operate in the entire phase diagram, including super- as well as sub-critical regimes and inherently captures phase-change phenomena.

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