Y-dependent perturbation analysis of wave growth for 2D volume of fluid model

The wave growth analysis is one of various methodologies used to validate 1D multiphase flow codes [1], and it has also been used as a first stage validation of two-dimensional volume of fluid (VOF) CFD simulations of pipeline multiphase flow [2]. A mathematical perturbation analysis to first order was carried out and shown to be in good agreement with simulation results [2]. In this paper a more in-depth perturbation analysis is carried out, taking into account the y-dependency of perturbation parameters and re-evaluating the surface tension term.