RT Journal Article SR 00 ID doi:10.1029/WR011i003p00423 A1 Wood, E.F. A1 Harley, B.M. A1 Perkins, F.E. T1 Transient flow routing in channel networks JF Water Resources Research YR 1975 FD 1975-06 VO 11 IS 3 SP 423 OP 430 AB The formulation of a mathematical model to predict transient flows in hydraulic networks is presented. The network formulation consists of breaking the network up into a series of connected reaches; reducing the finite difference equations for each reach into two ‘reach’ equations; forming an exterior matrix consisting of the reach equations, external boundary conditions, and interior compatibility conditions; solving the external matrix for the end values of discharge and water surface elevation for all reaches; and back-substituting for all interior values. Examples presented include the James River, USA, estuary model (24 nodes and 26 reaches), the Cork Harbor, Ireland, estuary (13-reach double-looped network), and the Rio Bayamon basin, Puerto Rico. Results are very satisfactory when they are compared to known data. PB Wiley SN 00431397 LK https://pure.iiasa.ac.at/id/eprint/14020/