Self-Adaptive Kinematic-Dynamic Model for Overland Flow
Publication: Journal of Hydraulic Engineering
Volume 140, Issue 2
Abstract
The authors developed an innovative two-dimensional finite-volume model for overland flow, which is capable of simultaneously applying the kinematic wave approximation and the full Saint-Venant (dynamic) equations to different regions of the modeled domain. A locally based criterion is employed to determine the applicability limits for the kinematic approximation. The model assesses the flow and topography on a cell-by-cell basis at each time step over an unstructured, triangular grid and determines the appropriate solution method for each individual cell. Several case studies are shown that illustrate the adaptive kinematic-dynamic model’s flexibility and robustness. The effects of the user-defined limit for the kinematic wave approximation and the abrupt switch from one solver to another are explored for the adaptive kinematic-dynamic model.
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Acknowledgments
This study has been supported by the Graham Environmental Sustainability Institute at the University of Michigan through the grant “Assessment of the Impact of Watershed Changes on Estuarine Morphology and Aquatic Life”. This work was also supported by the Rackham Merit Fellowship at the University of Michigan and the Graduate Fellowship of the Department of Civil and Environmental Engineering at the University of Michigan. Jongho Kim and Valeriy Ivanov were supported by NSF Grant EAR 1151443. The program ‘‘Triangle’’ by Jonathan R. Shewchuk (University of California, Berkeley, California) was implemented in this work to generate the Delaunay triangulations used for the computational meshes. The authors thank Brett Sanders for his valuable input.
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Published In
Journal of Hydraulic Engineering
Volume 140 • Issue 2 • February 2014
Pages: 169 - 181
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Nov 26, 2012
Accepted: Aug 6, 2013
Published online: Aug 8, 2013
Discussion open until: Jan 8, 2014
Published in print: Feb 1, 2014
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