5th International Conference on Advances in Solidification Processes (ICASP-5) 5th International Symposium on Cutting Edge of Computer Simulation of Solidification, Casting and Refining (CSSCR-5)

A two dimensional model for the simulation of dendritic growth in binary alloys is developed. Phase field model is used to derive the system of partial differential equations describing the temporal evolution of the solid-liquid interface and concentration field. Quantitative modeling is assured by the use of thin interface limit of the isothermal phase field model. Meshless local radial basis function collocation method and explicit Euler scheme are used for the spatial and temporal discretization of the phase field equations, respectively. An h-adaptive computational node arrangement is developed in order to assure the high density of computational nodes near the solid-liquid interface. The model is verified and assessed by comparison with the analytical models. The influence of the node arrangement to the dendritic morphology at different preferential growth directions is analyzed. The speed-up of the simulation due to an h-adaptive computational node arrangement is assessed. The originality of the work is in the novel, adaptive approach to the efficient and accurate solution of the phase field model. Advantages and shortcomings of the novel adaptive meshless method as well as further developments are discussed.