Isogeometric Analysis-Based Solidification Simulation and an Improved Way to Apply Supercooling on Droplet Boundary

The classic finite difference method (FDM) has been successfully adopted in the simulation of dendritic solidification, which is based on phase-field theory. Nevertheless, special strategies boundary integral and projection are required for applying a supercooling rate to droplet surface. In present study, isogeometric analysis (IGA) employed discretize equation due two advantages Non-Uniform Rational B-Splines (NURBS) basis functions, namely an arbitrary order derivatives exact description complex geometry. addition, improved, easy way apply melt surface proposed avoid cellular FDM. Firstly, dendrite growth square computational domain simulated verify performance IGA. Then, influences latent heat, anisotropic mode initial angle shapes studied by presented IGA, FDM element (FEM). Finally, solidification under different cooling rates along irregular boundaries performed