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Accuracy of kinematic wave and diffusion wave approximations for space‐independent flows on infiltrating surfaces
Author(s) -
Singh V. P.
Publication year - 1995
Publication title -
hydrological processes
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.222
H-Index - 161
eISSN - 1099-1085
pISSN - 0885-6087
DOI - 10.1002/hyp.3360090102
Subject(s) - kinematic wave , inflow , kinematics , dimensionless quantity , hydrograph , flow (mathematics) , mechanics , mathematical analysis , mathematics , parameterized complexity , boundary value problem , open channel flow , parameter space , geometry , geology , physics , classical mechanics , ecology , combinatorics , surface runoff , biology
Error equations for the kinematic wave and diffusion wave approximations were derived under simplified conditions for space‐independent flows occurring on infiltrating planes or channels. These equations specify error as a function of time in the flow hydrograph. The kinematic wave, diffusion wave and dynamic wave solutions were parameterized through a dimensionless parameter γ which is dependent on the initial conditions. This parameter reflects the effect of initial flow depth, channel bed slope, lateral inflow and channel roughness when the initial condition is non‐vanishing; it reflects the effect of bed slope, channel roughness, lateral inflow and infiltration when the initial condition is vanishing. The error equations were found to be the Riccati equation.