A model for overland flow and associated processes within the Hydroinformatics Modelling System

This paper presents a numerical model suitable for a broad range of surface flow problems such as overland flow, wetting and drying processes, varying flow conditions and shock waves. It is based on solution of two-dimensional fully dynamic shallow water equations using a cell-centred finite-volume...

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Bibliographic Details
Published in:Journal of hydroinformatics 2014-01, Vol.16 (2), p.375-391
Main Authors: SIMONS, Franz, BUSSE, Tobias, JINGMING HOU, ÖZGEN, Ilhan, HINKELMANN, Reinhard
Format: Article
Language:English
Subjects:
Catchment area
Computer simulation
Drying
Earth sciences
Earth, ocean, space
Engineering and environment geology. Geothermics
Exact sciences and technology
Finite volume method
Flash flooding
Flash floods
Fluxes
Frameworks
Green-Ampt model
Hydrology
Hydrology. Hydrogeology
Infiltration
Interactions
Mathematical models
Modelling
Natural hazards: prediction, damages, etc
Oscillations
Overland flow
Rain
Rainfall
Rainfall-runoff relationships
Riemann solver
Runoff
Runoff coefficient
Shallow water
Shallow water equations
Shock waves
Surface flow
Surface runoff
Wetting
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Summary:This paper presents a numerical model suitable for a broad range of surface flow problems such as overland flow, wetting and drying processes, varying flow conditions and shock waves. It is based on solution of two-dimensional fully dynamic shallow water equations using a cell-centred finite-volume method. Numerical fluxes are computed with a Harten, Lax and van Leer approximate Riemann solver with a contact wave restored. The scheme is second-order accurate in space, and a total variation diminishing method is used to avoid spurious oscillations in the solution. For extending the model to rainfall-runoff applications, infiltration is considered as a constant runoff coefficient and by the Green-Ampt model. The model is implemented in the Hydroinformatics Modelling System, an object-oriented framework that enables the implementation and simulation of single and multiple processes in different spatial and temporal resolutions, as well as their interactions. The capabilities of the model are shown by comparison with analytical solutions and experimental data of a flash flood and a surface runoff experiment. Finally, a real rainfall-runoff event in a small alpine catchment is investigated. Overall, good agreement of numerical and analytical results, as well as measurements, has been obtained.
ISSN:1464-7141
1465-1734
DOI:10.2166/hydro.2013.173