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Modeling overland flow and soil erosion on nonuniform hillslopes: a finite volume scheme.

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journal contribution
posted on 01.07.2009 by B.C. Peter Heng, Graham Sander, Cecil F. Scott
This paper presents a finite volume scheme for coupling the St. Venant equations with the multi- particle size class Hairsine-Rose soil erosion model. A well-balanced MUSCL-Hancock scheme is proposed to minimize spurious waves in the solution arising from an imbalance between the flux gradient and the source terms in the momentum equation. Additional criteria for numerical stability when dealing with very shallow flows and wet-dry fronts are highlighted. Numerical tests show that the scheme performs well in terms of accuracy and robustness for both the water and sediment transport equations. The proposed scheme facilitates the application of the Hairsine-Rose model to complex scenarios of soil erosion with concurrent interacting erosion processes over a non-uniform topography.

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  • Architecture, Building and Civil Engineering

Citation

HENG, B.C.P., SANDER, G.C. and SCOTT, C.F., 2009. Modeling overland flow and soil erosion on nonuniform hillslopes: a finite volume scheme. Water Resources Research, 45, W05423

Publisher

© American Geophysical Union (AGU)

Version

AM (Accepted Manuscript)

Publication date

2009

Notes

This article was published in the journal, Water Resources Research [© American Geophysical Union (AGU)] and the definitive version is available at: http://www.agu.org/pubs/crossref/2009/2008WR007502.shtml

ISSN

0043-1397

Language

en

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