A three-dimensional phase field simulation of solidification

Solidification is a very important phase transformation. The modeling and simulation of solidification has become essential for many years. This thesis investigates the application of Karma's phase field model for simulation of solidification at a fixed temperature in 3D. In a phase field model, the phase field variable is used to keep track of the solid and liquid phase fractions during solidification.; The finite element method has been used to solve the partial differential phase field equation. 6{dollar}sb-{dollar}Node{dollar}sb-{dollar}Brick finite elements are used. A Gaussian fitting function is chosen to fit the phase field explicitly.; In the present work, 3D finite element phase field simulation and modeling procedures and related computer programs are developed for the analysis of phase field distributions. Spherical and planar growth morphologies are analyzed with supercooling and superheating. A number of case studies for pure metal are carried out to verify the validity of the model.