The orientation of short fibres during the filling with reinforced thermoplastics of a tube and a disk is computed. The flow kinematics is obtained using a finite element method with a moving mesh technique in two dimensions. The orientation is calculated with a decoupled method. Results show the evolution of the orientation of individually tracked fibers, especially in the material front region, for a Newtonian and a shear-thinning matrix behavior, and for different thermal conditions and fiber interactions.