The Materials Genome Initiative has accelerated the application of multi-scale computational materials science methodologies to material design and discovery in conjunction with experimental synthesis, characterization, and data informatics. This symposium will cover new multi-scale modern materials modeling results that provide new insights into the properties of materials, expand our understanding of material processing, optimize the design of materials, or guide the discovery fundamentally new materials. Material modeling methods across all length scales are relevant, including quantum mechanics, density functional theory, classical atomic-scale simulations such as molecular dynamics and Monte Carlo, mesoscale modeling such as phase-field modeling, and continuum-scale modeling. The way in which the predictions of these material modeling methods connect to one another across length scales is of particular interest, as are the connections among the material modeling methods and experimental work.