DNA supercoiling is a widespread phenomenon in biology. Here we introduce a coarse-grained DNA model and study supercoiled DNA rings via a rigid body molecular dynamics simulation. Our model allows us to investigate these structures in more detail than previously. The simulations are performed on rings of one to six kilobase pairs length and are compared to available experimental data and former simulation studies. The current study provides new additional information about some of the geometrical parameters of the supercoiled DNA rings. It also shows how enforcing a supercoiled DNA ring to two-dimensional space changes its geometrical parameters. Finally, our molecular dynamics method allows us to observe some dynamical effects like the creation and movement of supercoiled branches.