Understanding the formation of (exo)-planetary systems requires the combined effort of advanced computational models and high-resolution multi-wavelength observations. Multidimensional, multiphysics simulations using high-performance computing allow us to study the thermal and kinematical evolution of young circumstellar disks  and planets' birthplaces in detail.  Specially the inner disk regions, close to the silicate sublimation, are crucial for forming terrestrial planets. I will review our current understanding of the dynamic evolution of protoplanetary disks and show current results from the UFOS group at MPIA.