Solidification modeling is a complex and highly advanced field. This article examines the state of the art in solidification modeling, including physical phenomena of solidification such as heat extraction, transport processes within a casting, and dimensional changes in the casting and mold during solidification. Also examined are current efforts to model these phenomena and the strengths and weaknesses of these efforts. Finally, obstacles to solidification modeling, such as speed and cost of the process, are considered, along with the likelihood those obstacles will be overcome.