TY - JOUR
T1 - Transient flow routing in channel networks
AU - Wood, Eric F.
AU - Harley, Brendan M.
AU - Perkins, Frank E.
PY - 1975/6
Y1 - 1975/6
N2 - 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.
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.
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U2 - 10.1029/WR011i003p00423
DO - 10.1029/WR011i003p00423
M3 - Article
AN - SCOPUS:0016521009
SN - 0043-1397
VL - 11
SP - 423
EP - 430
JO - Water Resources Research
JF - Water Resources Research
IS - 3
ER -