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A novel front tracking algorithm in FEM modelling of continous casting of pure metals

Nawrat A., Skorek J.

Archives of Thermodynamics

2002

Vol. 23, no 3

21-41

The mathematical model of temperature field in the process of continuous casting of metals is presented in the paper. The Finite Element Method (FEM) is applied to formulate steady state heat conduction problem with phase change. A modified front-tracking approach with an automatic mesh generation in the deforming finite element technique is used to determine temperature field and interface location within an ingot. The modified weighting functions were used to avoid spatial oscillations due to a strong convective nature of the problem. Paper presents a new method for the correction to the interface location at each step of the iteration process (through the energy balance at the interface). The main advantage of this technique is its ability to continuously track the interface position. The capability of the presented method is demonstrated on the example of the continuous casting of a cylindrical ingot made of copper.