I will talk about 3D magneto-hydrodynamic (MHD) models to study the formation, dynamics and polarized emission of stellar and galactic outflows. I will start with Magnetic towers; one of two fundamental forms of MHD outflows, less well studied than magneto-centrifugally launched outflows. 1000+ core simulations as well as data visualization provide detailed insights into the underlying physics of magnetic towers and help us constrain models of their propagation. I will then demonstrate the connection of our models with laboratory experimental studies, and the results relevance to astrophysical observations of young star jets and outflow from highly evolved solar type stars. This is very exciting as it connects the physics of astrophysical objects with laboratory plasmas and our model data. I will then talk about post-processing models of magnetic fields polarized emission and rotation measure, both in the context of the magnetic towers and some other models of radio galaxies. These emission models are very topical in the advent of the new generation of telescopes, such as ALMA, LOFAR and the SKA.