  We extend our POWLANG transport setup for the modelling of heavy-flavour
production in heavy-ion collisions to the case of full 3+1 simulations,
dropping the approximation of longitudinal boost-invariance of the background
medium. This enables us to provide predictions for observables for which the
rapidity dependence is essential in order to obtain a non-vanishing signal,
like the directed flow $v_1$, and to get reliable results also for kinematic
distributions of heavy-flavour particles at forward rapidity. We compare our
predictions with experimental data obtained in Au-Au and Pb-Pb collisions at
RHIC and at the LHC.
