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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Print: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v32.i6.50
pages 703-717

Two-Dimensional Modeling of Rainfall Runoff and Sediment Transport in Small Catchment Areas

Sergey L. Kivva
Institute of Mathematical Machines and Systems of National Academy of Sciences of Ukraine, Kyiv, Ukraine
Mark J. Zheleznyak
Institute for Problems of Mathematical Machines and Systems of National Academy of Sciences of Ukraine, Kyiv, Ukraine


A mathematical model of rainfall runoff formation in small catchments is developed; the model is physically valid. The model gives an adequate description of such processes as interception of rainfall by vegetation; storage in relief micro-depressions; infiltration; overland runoff; wash off, transport and re-deposition of soil particles. Numerical simulation of formation of the surface runoff involves the solution of two-dimensional nonstationary shallow water equations, the infiltration equation, and the sediment transport equation. The shallow water equations and the sediment transport equation are integrated numerically using conservative implicit first-order finite-difference schemes. The finite-difference scheme for the shallow water equations allows simulating an open flow with a free boundary. Verification of the model is based on observed data for rain-induced high water in catchment areas of the Butenya river.