Based on the requirements of real-time monitor for hot-exerted state of mould in continuous casting

a 2D model for horizontal section of mould copper plate was established

in which a numerical algorithm based on the least square method for inverse heat conduction problem was developed. Using above model

the program is written by the VC++6.0 software

where discrete equations were built up by the FVM with varying band width and Cholesky decomposition technique to improve computation speed. The availability of the 2D model has been verified by comparing with calculated results from commercial softwares

and the reliability of algorithm and program was validated by analyzing experimental data

which provided an applicable method to monitor the solidification process by numerical simulation.