District Heating (DH) networks are getting closer to the concept of "Smart Grids" to deal with the contribution of new technologies and paradigms like Renewable Energy Sources, Distributed Generation and Storage, and Low-Temperature District Heating. This requires good anticipation of the system's dynamics with the objective of improving control. This work proposes a model based on the Finite Volumes method for anticipating the dynamics in DH systems. Its application to branched network topologies gives the delay between the change in the settings at the generation points and the time they are perceived by the different substation in the network, which is a prerequisite for system design, operation planning and optimal control. The model is tested in a 6 Node branched network with the main topology elements being represented (junctions, splits, etc.); real demand data is used at the consumption nodes. A comparison between the model developed by the authors and the existing Finite Volumes method is also presented for the proposed topology. These results shed light on the needs and opportunities in DH, mainly for ICT implementation, energy storage location and management, and enhanced control in the smart energy networks context.