In this bachelor thesis a code for astrophysical self-gravitating fluid simulation is developed. The code runs mainly on the GPU. Minimal simplifications of the physical model and some parameters for accuracy and tuning allow simulations to be performed at interactive framerates on most modern consumer grade computers that feature a dedicated graphics card. It is used to simulate the birth of stars from a turbulent molecular cloud. Multiple features of star formation, like accretion discs and fragmentation, can be observed in the simulation, even when low particle counts are used.