BEM Inverse Analysis Of Thermal Problems In Continuous Casting

Abstract

Estimation of unknown and/or uncertain boundary conditions encountered in thermal problems of continuous casting is considered in the paper. The boundary quantities are retrieved applying inverse techniques simultaneously making use of temperature measurements at selected interior locations. Such approach requires two step procedure. The first step is to solve a direct problem, or rather to derive the direct relationship between unknown boundary conditions and known temperatures at interior locations, while the second one is to stabilize the results of inverse calculations (inverse problems are usually ill-posed). The method used for solving a direct problem is the Boundary Element Method. To stabilize the results of the inverse analysis the least squares approach, combined with sensitivity coefficients, is used. Numerical example consisting of estimation of heat flux components at the edge of continuous casting mould is included. Influence of the number and locations of temperature sensors on the accuracy is tested.