Analytical Closed-Form Solution for 1D Linear Kinematic Overland Flow under Moving Rainstorms

作者: Jorge M. G. P. Isidoro , João L. M. P. de Lima

DOI: 10.1061/(ASCE)HE.1943-5584.0000740

关键词:

摘要: AbstractAn analytical solution for overland flow under (upstream and downstream) moving storms that uses Laplace transformation to solve the one-dimensional (1D) linear kinematic wave equation is presented. This solution, which corresponds a single continuous function total space-time domain of hydrograph, enables evaluation discharge over time drainage plane surface. The result was compared with another numerical simulation, experimental runs using laboratory flume. comparison showed very good fit, proposed thus regarded as validated. By applying model hypothetical catchments storm patterns, distinct hydrologic responses upstream downstream were identified.

参考文章(42)
C. L. Unkrich, D. A. Woolhiser, D. C. Goodrich, R. E. Smith, KINEROS - a kinematic runoff and erosion model Computer models of watershed hydrology. pp. 697- 732 ,(1995)
G B Whitham, M J Lighthill, ON KINEMATIC WAVES.. ,(1955)
Th. M. Boers, Rainwater harvesting in arid and semi-arid zones. Rainwater harvesting in arid and semi-arid zones.. ,(1994)
S. Giakoumakis, G. Tsakiris, Experimental Validation of a Linearized Kinematic Wave Equation for Micro-Catchment Water Harvesting Design Water Resources Management. ,vol. 15, pp. 235- 246 ,(2001) , 10.1023/A:1013319725515
Kazumasa Mizumura, Analytical Solutions of Nonlinear Kinematic Wave Model Journal of Hydrologic Engineering. ,vol. 11, pp. 539- 546 ,(2006) , 10.1061/(ASCE)1084-0699(2006)11:6(539)
Joao LMP de Lima, Vijay P Singh, M Isabel P de Lima, None, The influence of storm movement on water erosion: storm direction and velocity effects Catena. ,vol. 52, pp. 39- 56 ,(2003) , 10.1016/S0341-8162(02)00149-2
Marco Franchini, Combined analytical solution of overland flow and sediment transport Water Resources Management. ,vol. 8, pp. 225- 238 ,(1994) , 10.1007/BF00877088
Tommaso Moramarco, Claudia Pandolfo, Vijay P. Singh, Accuracy of Kinematic Wave Approximation for Flood Routing. II: Unsteady Analysis Journal of Hydrologic Engineering. ,vol. 13, pp. 1089- 1096 ,(2008) , 10.1061/(ASCE)1084-0699(2008)13:11(1089)