Proceedings of the 5th International Conference on Inverse Problems in Engineering: Theory and Practice, Cambridge, UK, 11-15th July 2005 2D AND 3D INVERSE BOUNDARY AND INVERSE GEOMETRY BEM SOLUTION IN CONTINUOUS CASTING

This paper discusses an inverse solution consisting of the boundary condition estimation and the phase change front identification in continuous casting process. The solution procedure utilizes sensitivity coefficients and temperature measurements inside the solid phase. The algorithms proposed make use of the Boundary Element Method (BEM) in both 2D and 3D case. With the purpose of limiting a number of estimated values (and consequently the number of temperature sensors) the Bezier splines (in 2D case) and the Bezier surfaces (in 3D case) are employed for modelling the interface between the solid and liquid phases. For the same reason heat flux distribution along the cooling boundary is approximated using spline function or broken line. In order to demonstrate the main advantages of the developed formulation, continuous casting of copper was considered as a numerical example.