Parabolic Interface Reconstruction for 2D Volume of Fluid Methods

For capillary driven flow the interface curvature is essential in modelling of surface tension via imposition Young-Laplace jump condition. We show that traditional geometric volume fluid (VoF) methods, are based on a piecewise linear approximation interface, do not lead to an which convergent under mesh refinement time-dependent problems. Instead, we propose use parabolic resulting class calculation (PPIC) methods. In particular, introduce LVIRA and MoF PLVIRA PMoF, respectively. Lagrangian remapping method sufficiently accurate for advection such interface. It numerically demonstrated newly proposed PPIC methods result increase reconstruction accuracy by one order, convergence problems Weber number independent droplet translation problem, where coupled two-phase Navier--Stokes solver.