@article{iiasa14020, volume = {11}, number = {3}, month = {June}, title = {Transient flow routing in channel networks}, publisher = {Wiley}, year = {1975}, journal = {Water Resources Research}, doi = {doi:10.1029/WR011i003p00423}, pages = {423--430}, url = {https://pure.iiasa.ac.at/id/eprint/14020/}, issn = {00431397}, abstract = {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.}, author = {Wood, E. F. and Harley, B. M. and Perkins, F. E.} }