Over the last decade physics-based models of magnetized plasmas progressed considerably. Today, there is growing recognition that large-scale numerical models contribute considerably to plasma research by putting spatially and temporally limited observations in global context. Over the last twenty years an interdisciplinary group of faculty and students at the University of Michigan has been developing high-performance computational methods to simulate magnetized plasmas in space and laboratory environments. At the heart of the effort is the flexible Space Weather Modeling Framework (SWMF), a fully functional and documented software tool that provides a high-performance computational capability to simulate the space environment and has been recently extended to high energy density (HED) physics applications. This talk will focus on recent developments of space weather simulations by the Center for Space Environment Modeling (CSEM) and on the emerging ability to simulate laser interactions in magnetized HED plasmas by the Center for Radiative Shock Hydrodynamics (CRASH).