In this work we propose a novel way to simulate solidification during continuous processes using a Generalized Finite Difference Method (GFDM). The meshfree nature of this approach gives the advantage of naturally capture the motion and phase boundaries reconstruction without the need of adaptive remeshing algorithms. This approach is based on the works of S. Tiwari, J. Kuhnert, E.O. Reséndiz-Flores and F.R. Saucedo-Zendejo, which provide a background to solve general elliptic equations in a meshfree framework and their application to solve multiphase and heat transfer problems. The features behind this approach, details of its implementation and numerical results of the simulation of two two-dimensional benchmarks problems are presented.Keywords: Meshfree method, Finite Pointset Method, continuous casting, heat transfer, solidification.
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