Środowiskowe Seminarium Fizyki Atmosfery

This presentation concerns modeling of the two phase flows separated by immiscible gas/liquid interfaces. In particular, it demonstrates a relation between the re-initialization equation of the levelset functions derived by Wacławczyk [J.Comp.Phys., 299, (2015)] and the condition for the phase equilibrium provided by the functional derivative of the modified Ginzburg-Landau functional representing the interfacial density of Helmholtz free energy of the non-flat interface, compare with work of Allen and Cahn [Acta Metall., 27, (1979)]. As a consequence of the aforementioned relation, the statistical model of the non-flat interface in the phase equilibrium state is postulated and justified. This model is derived based on the statistical picture of the sharp interface disturbed by the field of stochastic forces; it introduces the relation between the sharp and diffusive interface models of the gas/liquid interfaces. During the seminar, derivation of the model equations, their physical interpretation and the results of numerical simulations will be presented and discussed.