Application of the boundary element method to numerical modelling of solidification. Part I – The one domain approach

In the paper the numerical model of thermal processes proceeding in the system casting-mold is discussed – in particular, the solidification of alloys is analyzed. The model is constructed using the composition of the 1st and 2nd schemes of the BEM. The problem considered is treated as a boundary-initial one and it is formulated on the basis of the one domain method (fixed domain method) (cf Mochnacki and Suchy, 1995; Voller, 1991).