The propagation of a flood wave through a river system is influenced by a complex process of energy dissipation. This is especially the case when overbank flows are a feature of the flood movement, producing more defined lateral movement of flow and high rates of fluid shear at the main channel/floodplain interface. The present paper concentrates on the physical and numerical modelling of river flows during overbank flow. A general description of the flow behaviour is outlined, including an investigation into the nature of the shear interaction between channel and floodplain. The paper advances a method for determining energy losses for the case of meandering channels with overbank flow and a method of sub-dividing the floodway for stage-discharge prediction. A state-of-the-art study of numerical modelling of flood propagation is outlined, including selected case histories on how the overbank flow situation has been handled to date, as well as comment on the current means of representing energy dissipation relying on calibration of the numerical model against observed field data.