Analysis of thermal processes in solidifying casting using the combined variant of the BEM

In the paper the numerical model of heat transfer processes proceeding in the heterogeneous system casting-mould-core is presented. The problem is treated as a 2D boundary-initial task. Non-steady temperature field is found on the basis of the boundary element method. In particular, the variant called the BEM using discretization in time is applied [Curran et al., Appl. Math. Modelling 4 (1980) 398; W. Sichert, Berechnung von Instationaren thermishen Problemen mittels der Rangelementmethode (1989)]. The method is adapted for non-homogeneous system, at the same time the solidification process is taken into account by the approach called the one domain method [V.R. Voller, Comput. Modelling Free Moving Problems, 1991, p. 3], while the numerical model of this phenomena bases on the temperature field correction method [E. Majchrzak, B. Mochnacki, Comput. Assisted Mech. Eng. Sci. 3 (4) (1996) 327; E. Majchrzak, B. Mochnacki, Eng. Anal. Boundary Elements 16 (1995) 99]. In the final part of the paper the computations of complex casting solidification are shown.