Three dimensional simulations of coating flows: methods for large free surface deformations and moving three-phase lines

摘要

Computational fluid mechanics techniques for examining free surface problems for coating flows in two dimensions is now a well-established procedure, owing much to the efforts of Scriven and his researchers~(1.2). Extending these methods to three dimensions requires a reconsideration of some of the same long-standing difficult issues for coating flows as well as special agorithms designed for the added geometric complexity. This paper presents a non-linear elastic pseuodosolid approach for deforming meshes in three dimensions. Special boundary conditions on the pseudo-solid mesh motion consitrain its motion in the normal direction according to the relevant fluid physics, but allows shear-free motion of the meash tangential to bounding surface.