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R. Wooding (1965)
A hydraulic model for the catchment-stream problem: I. Kinematic-wave theoryJournal of Hydrology, 3
D. Woo, E. Brater (1962)
Spatially Varied Flow From Controlled RainfallJournal of Hydraulic Engineering, 88
Y. Yu, J. Mcnown (1964)
Runoff from Impervious Surfaces.Journal of Hydraulic Research, 2
Keulegan Keulegan (1945)
Spatially variable discharge over a sloping planeTrans. Am. Geophys. Union
Woo Woo, Brater Brater (1962)
Spatially varied flow from controlled rainfallProc. Am. Soc. Civil Engrs., 88
A. Robertson, A. Turner, F. Crow, W. Ree (1966)
Runoff from Impervious Surfaces Under Conditions of Simulated RainfallTransactions of the ASABE, 9
R. Wooding (1965)
A hydraulic model for the catchment-stream problem. II. Numerical solutionsJournal of Hydrology, 3
G. Keulegan (1944)
Spatially variable discharge over a sloping planeEos, Transactions American Geophysical Union, 25
C. Izzard, M. Augustine (1943)
Preliminary report on analyses of runoff resulting from simulated rainfall on a paved plotEos, Transactions American Geophysical Union, 24
Cheng-Lung Chen, V. Hansen (1966)
Theory and Characteristics of Overland FlowTransactions of the ASABE, 9
C. Izzard, W. Hicks (1947)
HYDRAULICS OF RUNOFF FROM DEVELOPED SURFACES, 26
F. Henderson, R. Wooding (1964)
Overland flow and groundwater flow from a steady rainfall of finite durationJournal of Geophysical Research, 69
Liggett Liggett, Woolhiser Woolhiser (1967)
Finite‐difference solutions of the shallow water equationsProc. Am. Soc. Civil Engrs., J. Mech. Div., 93
Izzard Izzard, Augustine Augustine (1943)
Preliminary report on analysis of runoff resulting from simulated rainfall on a paved plotTrans. Am. Geophys. Union
James Morgali, R. Linsley (1965)
Computer Analysis of Overland FlowJournal of Hydraulic Engineering, 91
Morgali Morgali, Linsley Linsley (1965)
Computer analysis of overland flowProc. Am. Soc. Civil Engrs., J. Hydraul. Div., 91
M. Lighthill, G. Whitham (1955)
On kinematic waves I. Flood movement in long riversProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 229
McCool McCool, Gwinn Gwinn, Ree Ree, Garton Garton (1966)
Spatially varied steady flow in a vegetated channelTrans. ASAE, 9
D. Brakensiek (1966)
Hydrodynamics of Overland Flow and Nonprismatic ChannelsTransactions of the ASABE, 9
The equations describing overland flow, in three nondimensional forms, are solved for the rising hydrograph by finite‐difference integration of the characteristic equations utilizing a characteristic net. A dry channel was used as an initial condition; the upstream and downstream boundary conditions were zero inflow and critical depth (or no condition for supercritical flow), respectively. A series solution is derived for flow in Zone A, the domain of determinacy of the initial conditions along t = 0. When compared with previous numerical, analytic, and experimental results, the results show that in general there is no unique dimensionless rising hydrograph for overland flow, but that for most hydrologically significant cases the kinematic wave solution gives very accurate results. A single dimensionless parameter was found to be a suitable criterion for choice between the complete equations or the kinematic wave approximation.
Water Resources Research – Wiley
Published: Sep 1, 1967
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