The deployment of an airbag is a very complex physical process. In cooperation with the company ESI, we develop a software tool for the producers of automobiles and airbags, which is able to simulate the deployment process of an airbag very well, even if the airbag is folded in a very complex manner. The simulations carried out with this tool are supposed to provide better information about the interaction of the deploying airbag and the passengers of the car. The underlying problem is the question of injuries, i.e. the question whether the airbag actually reduces injuries in the case of an accident, or even causes more damages in certain situations.