A modified network approach for modeling solidification of complex-shaped domains

The finite-difference method is widely used in the formulation of a mathema tical representation of the solidification process in metal/mold systems. W hen complex geometries have to be analyzed, precision of simulations will d epend on a multigrid computational scheme covering the spatial domain, whic h can represent a significant increase in computational time. The present w ork proposes an approach that modifies the finite-difference network from t hermal to electrical elements, permitting a flexible and versatile represen tation and connection between grid patterns, and consequently an easier tra nsmittal of information at these boundaries, Results of simulations have sh own that the proposed approach provides good numerical accuracy and substan tial savings in computational time and computer storage requirements, dare mainly to the significant reduction of number of elements within the comput ational domain.