Postdoctoral Research Project PN-III-P1-1.1-PD-2021-0216
2022 - 2024
Supported by CNCS - UEFISCDI, Contract number PD23/2022 within PNCDI III
The novelty of the proposed project is the extension of the finite-difference Lattice Boltzmann (FDLB) models developed for dilute gases to deal with both the dense gas flow and the liquid-vapor flow in curvilinear geometries. We plan to explore the dense gas behaviour in rarefied and confined setups, like the circular Couette flows (between two coaxial cylinders), the heat transfer between coaxial cylinders and concentric spheres, as well as liquid-vapor flows, like the spherical droplet evaporation or the bubble growth in a metastable liquid.
We plan to implement the simplified Enskog collision operator in the FDLB framework and validate the model against the direct evaluation of the Enskog equation obtained by using a particle method. We wish to apply the resulting models to unbounded (normal shock wave structure) and bounded (Couette and Poiseuille flows) dense gas problems, exploring the full range of the Knudsen number, as well as various values of the confinement ratio. Next, we want to add the Vlasov term (used to model intermolecular attraction) to the Enskog equation, in the framework of FDLB in order to model liquid-vapour flows (e.g. evaporation and condensation phenomena). The behaviour of dense gases and liquid-vapour systems in curvilinear geometries will be explored using the vielbein LB models, enhanced with the simplified Enskog collision operator and the Vlasov term.