Kinetic Modelling of Dense Gases and Liquid-Vapor Flows via Enskog-Type Equations

par Dr Sergiu Busuioc (Université de l'Ouest de Timișoara, Roumanie)

jeudi 10 sept. 2026, 14:00 → 15:00 Europe/Paris

Salle 1180, bâtiment E2 (Salle des séminaires )

This presentation outlines recent developments in the kinetic modelling of non-equilibrium dense gases and liquid-vapor systems. While classical Boltzmann models are limited to dilute regimes, the Enskog collision integral successfully accounts for finite molecular volume and non-local interactions. We compare two distinct numerical methodologies to solve these equations: a stochastic, DSMC-like particle method (PM) and a deterministic, finite-difference Lattice Boltzmann (FDLB) scheme. Using the deterministic FDLB scheme combined with half-range Gauss-Hermite quadratures, we accurately resolve boundary-induced discontinuities and molecular layering in both planar and curvilinear geometries. Furthermore, we utilize the Enskog-Vlasov equation to model dynamic phase transitions, such as liquid-vapor phase separation, liquid slab evaporation, and the growth of spherically symmetric nano-droplets and bubbles. We benchmark the deterministic FDLB implementations against the more accurate but computationally expensive stochastic particle method. The deterministic FDLB approach captures critical non-local and non-equilibrium transport phenomena with high fidelity while reducing computational costs by up to several orders of magnitude compared to stochastic particle simulations.