%ADyachenko, Sergey%BJournal Name: Journal of Fluid Mechanics; Journal Volume: 860
%D2019%I
%JJournal Name: Journal of Fluid Mechanics; Journal Volume: 860
%K
%MOSTI ID: 10107097
%PMedium: X
%TOn the dynamics of a free surface of an ideal fluid in a bounded domain in the presence of surface tension
%XWe derive a set of equations in conformal variables that describe a potential flow of an ideal two-dimensional inviscid fluid with free surface in a bounded domain. This formulation is free of numerical instabilities present in the equations for the surface elevation and potential derived in Dyachenko et al. ( Plasma Phys. Rep. vol. 22 (10), 1996, pp. 829–840) with some restrictions on analyticity relieved, which allows to treat a finite volume of fluid enclosed by a free-moving boundary. We illustrate with a comparison of numerical simulations of the Dirichlet ellipse, an exact solution for a zero surface tension fluid. We demonstrate how the oscillations of the free surface of a unit disc droplet may lead to breaking of one droplet into two when surface tension is present.
%0Journal Article