Abstract
In this paper we present a numerical study of the evolution of a capillary fountain. Under the usual assumptions leading to potential theory and the additional assumption of rotational symmetry we consider the behaviour of a capillary free surface when fluid is ejected from a circular nozzle at a constant rate. The equations governing the motion of the fluid are written in terms of an integral equation which is discretised using the boundary element method. Crucial in the numerical implementation is a regridding procedure by which new Lagrangian nodes are added to the free surface during the time integration in order to control the discretisation error and to prevent numerical instabilities.
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