Numerical Simulation of Conduction-Advection Problems with Phase Change

Abstract

This paper introduces a finite element temperature-based model to represent conduction-advection dominated heat transfer when the material is undergoing phase-change. A fixed domain method is applied, so that the energy balance through the interface does not need to be explicitly accounted for in the weak formulation of the problem, obtained either by the standard Galerkin or Streamline Upwind Petrov-Galerkin (SUPG) procedures. The model is applied to analyze a continuous casting process.