ERRORS OF KINEMATIC‐WAVE AND DIFFUSION‐WAVE APPROXIMATIONS FOR SPACE‐INDEPENDENT FLOWS ON INFILTRATING SURFACES
作者： V. P. SINGH
DOI: 10.1002/(SICI)1099-1085(199607)10:7<955::AID-HYP350>3.0.CO;2-G
关键词: Kinematic wave 、 Geometry 、 Mathematical analysis 、 Hydrograph 、 Inflow 、 Riccati equation 、 Mathematics 、 Kinematics 、 Initial value problem 、 Dimensionless quantity 、 Mathematical model
摘要: Error equations for the kinematic-wave and diffusion-wave approximations were derived under simplified conditions space-independent flows occurring on infiltrating planes or channels. These specify error as a function of time in flow hydrograph. The kinematic-wave, diffusion wave dynamic-wave solutions parameterized through dimensionless parameter γ which is dependent initial conditions. This reflects effect depth, channel-bed slope, lateral inflow channel roughness when condition non-vanishing ; it bed roughness, infiltration vanishing. found to be Riccati equation.
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sci-hub.se 参考文章(11)
Andrew C. Palmer, A Kinematic Wave Model of Glacier Surges Journal of Glaciology. ,vol. 11, pp. 65- 72 ,(1972) , 10.1017/S0022143000022504
V. P. Singh, Accuracy of kinematic wave and diffusion wave approximations for space‐independent flows with lateral inflow neglected in the momentum equation Hydrological Processes. ,vol. 8, pp. 311- 326 ,(1994) , 10.1002/HYP.3360080404
E. M. Morris, D. A. Woolhiser, Unsteady one‐dimensional flow over a plane: Partial equilibrium and recession hydrographs Water Resources Research. ,vol. 16, pp. 355- 360 ,(1980) , 10.1029/WR016I002P00355
On kinematic waves I. Flood movement in long rivers Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 229, pp. 281- 316 ,(1955) , 10.1098/RSPA.1955.0088
Vijay P. Singh, Robert R. Regl, Analytical solutions of kinematic equations for erosion on a plane I. Rainfall of indefinite duration Advances in Water Resources. ,vol. 6, pp. 2- 10 ,(1983) , 10.1016/0309-1708(83)90073-8
F. M. Henderson, R. A. Wooding, Overland flow and groundwater flow from a steady rainfall of finite duration Journal of Geophysical Research. ,vol. 69, pp. 1531- 1540 ,(1964) , 10.1029/JZ069I008P01531
D. A. Woolhiser, J. A. Liggett, Unsteady, one-dimensional flow over a plane-The rising hydrograph Water Resources Research. ,vol. 3, pp. 753- 771 ,(1967) , 10.1029/WR003I003P00753
V. P. Singh, E. S. Joseph, Kinematic-wave model for soil-moisture movement with plant-root extraction Irrigation Science. ,vol. 14, pp. 189- 198 ,(1994) , 10.1007/BF00190190
Keith Beven, Kinematic subsurface stormflow Water Resources Research. ,vol. 17, pp. 1419- 1424 ,(1981) , 10.1029/WR017I005P01419
J.H.Daluz Vieira, Conditions governing the use of approximations for the Saint-Vénant equations for shallow surface water flow Journal of Hydrology. ,vol. 60, pp. 43- 58 ,(1983) , 10.1016/0022-1694(83)90013-6