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ERRORS OF KINEMATIC‐WAVE AND DIFFUSION‐WAVE APPROXIMATIONS FOR SPACE‐INDEPENDENT FLOWS ON INFILTRATING SURFACES
Author(s) -
SINGH V. P.
Publication year - 1996
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/(sici)1099-1085(199607)10:7<955::aid-hyp350>3.0.co;2-g
Subject(s) - kinematic wave , inflow , kinematics , hydrograph , dimensionless quantity , flow (mathematics) , mechanics , mathematics , mathematical analysis , boundary value problem , open channel flow , parameterized complexity , geometry , geology , physics , classical mechanics , ecology , surface runoff , biology , combinatorics
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; and 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.