%0 Journal Article
%@ 00431397
%A Wood, E.F.
%A Harley, B.M.
%A Perkins, F.E.
%D 1975
%F iiasa:14020
%I Wiley
%J Water Resources Research
%N 3
%P 423-430
%R doi:10.1029/WR011i003p00423
%T Transient flow routing in channel networks
%U https://pure.iiasa.ac.at/id/eprint/14020/
%V 11
%X 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.