Identification of the Cooling Condition in 2-D and 3-D Continuous Casting Processes

Abstract

In this article, the reconstruction of the function describing the boundary conditions along the primary and secondary cooling zones in the 2-D and 3-D continuous casting processes of pure metal is presented. The process is modeled by the inverse Stefan problem, where additional information consists of temperature measurements at selected points of the domain. In numerical calculations, Tikhonov's regularization, a genetic algorithm, and an alternating phase truncation method are used. The featured examples of calculations show very good approximation of the exact solution. The influence of the number and accuracy of measurements are also investigated.

This research was financed by the resources allocated in years 2007–2009 under research project N N512 3348 33. The calculations were made at the Warsaw University Interdisciplinary Centre for Mathematical and Computational Modelling (ICM) under computational grant G30-7.