Derby, Jeffrey J.Chelikowsky, James R.Sinno, TalidDai, BingKwon, Yong-IlLun, LisaPandy, ArunYeckel, Andrew2023-05-222023-05-222007-01-012011-05-11https://repository.upenn.edu/handle/20.500.14332/5800We present an overview of mathematical models and their large-scale numerical solution for simulating different phenomena and scales in melt and solution crystal growth. Samples of both classical analyses and state-of-the-art computations are presented. It is argued that the fundamental multi-scale nature of crystal growth precludes any one approach for modeling, rather successful crystal growth modeling relies on an artful blend of rigor and practicality.Continuum transportheat transferfluid mechanicsatomistic modelsdefect dynamicssegregationmorphological instabilitysolidificationChemical EngineeringEngineeringPresentation