Solidification modeling in continuous casting by finite point method

In this paper, a meshless method, finite point method, is studied and applied to model metal solidification processes in continuous casting. An additional term is added to stabilize the computation with Neumann boundary. The enthalpy method is used to calculate the latent heat and the corresponding iterative solution is given. An iteration scheme for nonlinear material calculation is also constructed. The model is verified by the classical Stefan problem and a 2D FEM solidification example. And then it is applied to the simulation of the solid shell growth in the continuous casting of a large square bland in mold. The result is coincided with the measurement.