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A physical, mechanistic and fully coupled hillslope hydrology model
Author(s) -
Raff David A.,
Ramírez Jorge A.
Publication year - 2005
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1016
Subject(s) - infiltration (hvac) , surface runoff , sediment transport , erosion , sediment , hydrology (agriculture) , distributed element model , geology , flow (mathematics) , richards equation , geotechnical engineering , environmental science , soil science , geomorphology , mechanics , soil water , meteorology , engineering , physics , ecology , electrical engineering , biology
We present the mathematical development and numerical solution of a new model of flow processes on an infiltrating hillslope. We also present validation and sample applications. The model is a distributed, mechanistic, physically based hillslope hydrologic model. The model describes the small‐scale processes associated with overland flow, erosion, and sediment transport on an infiltrating surface and is capable of capturing small‐scale variations in flow depth, flow velocities, interactive infiltration, erosion rates, and sediment transport. The model couples the fully two‐dimensional hydrodynamic equations for overland flow, the one‐dimensional Richards equation for infiltration, and a sediment detachment and transport model. Two simulations are presented highlighting the model's ability to capture and describe the interaction between precipitation, overland flow, erosion and infiltration at very small scales. Results of the two‐dimensional simulations indicate the system of equations produces hillslopes possessing characteristics of self‐organization as observed in real world systems. Copyright © 2005 John Wiley & Sons, Ltd.

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