3D Finite element simulation of a material accumulation process including phase transitions and a capillary surface

In this article, the modeling and simulation of a material accumulation process in micro-range based on laser-based free form heading is discussed. The process represents the first step of a material accumulation process which has been developed within the SFB 747 and is modeled mathematically by coupling the Stefan problem with the Navier-Stokes equations including a free capillary surface. For the numerical simulation of the process, two different approaches for handling solid-liquid phase transitions are combined and implemented in a finite element method.