The reverse nonequilibrium molecular dynamics (RNEMD) method is implemented to predict th. e viscosity of a coarse-grained model of short-chain polystyrene. The coarse-grained model has been derived to reproduce the structure of polystyrene. It is therefore not a generic model, but polymer-specific. Here, its performance for dynamical quantities is tested. The zero-shear viscosity is compared with experimental data. The pronounced difference can be mainly attributed to the inherent dynamic properties of the, coarse-grained model. The qualitative results are compared to previous results calculated via conventional nonequilibrium molecular dynamics (NEMD) and more generic polymer models, and the agreement is reasonable. The structural alterations under shear are investigated by characterizing the molecular deformation and birefringence extinction angle.