Fast numerical computation of 2D free surface jet flow with surface tension (Q1815938)

A system of partial differential equations that approximate the governing equations for inviscid free surface flow subject to surface tension is presented. The approximation is based on linearizing the velocity together with a small scale approximation of the perturbation of the velocity. Two Dirichlet problems must be solved to form the approximate system, after which it can be evolved without solving Dirichlet problems. The accuracy of the solution is determined by how often the velocity term is linearized.