Materials Engineering, Sharif University of Technology
In the present work, the solidification process was simulated in both macroscopic and microscopic scales. Two-dimensional heat transfer equation for conduction was applied for macroscopic modeling using enthalpy formulation and finite element method. In order to decrease execution time and/or memory capacity in finite analysis, skyline mathematical technique was adapted. The microenthalpy method using kinetic equations for microstructure formation was used for microscopic modeling. This macro-micrimodelling is able to represent transient thermal field of the system, the enthalpy and solid fraction distributions, and different aspects of microstructure: grain density, size, eutectic interlamellar and dendrite arm spacings. A good agreement was found between our numerical data with some experimental results from several research sources.