Small amounts of liquid deposited on a substrate are an everyday phenomenon. From a theoretical point of view this represents a modelling challenge, due to the multiple scales involved: from the molecular interactions among the three phases (solid substrate, liquid film and surrounding vapor) to the hydrodynamic flows. An efficient way to deal with this multiscale problem is the thin-film equation. Solving the thin film equation directly is a difficult task, because it is a fourth order degenerate PDE. Swalbe.jl approaches this problem from a different angle. Instead of directly solving the thin film equation we use a novel method based on a class lattice Boltzmann models riginally developed to simulate shallow water flows
Swalbe.jl: A lattice Boltzmann solver for thin film hydrodynamics
2022
Abstract
Small amounts of liquid deposited on a substrate are an everyday phenomenon. From a theoretical point of view this represents a modelling challenge, due to the multiple scales involved: from the molecular interactions among the three phases (solid substrate, liquid film and surrounding vapor) to the hydrodynamic flows. An efficient way to deal with this multiscale problem is the thin-film equation. Solving the thin film equation directly is a difficult task, because it is a fourth order degenerate PDE. Swalbe.jl approaches this problem from a different angle. Instead of directly solving the thin film equation we use a novel method based on a class lattice Boltzmann models riginally developed to simulate shallow water flowsI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
