Treatment of Natural Geometry in Finite Volume River Flow Computations
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Volume 129, Issue 5
Abstract
A method is proposed for the treatment of irregular bathymetry in one-dimensional finite volume computations of open-channel flow. The strategy adopted is based on a reformulation of the Saint-Venant equations. In contrast with the usual treatment of topography effects as source terms, the method accounts for slope and nonprismaticity by modifying the momentum flux. This makes it possible to precisely balance the hydrostatic pressure contributions associated with variations in valley geometry. The characteristic method is applied to the revised equations, yielding topographic corrections to the numerical fluxes of an upwind scheme. Further adaptations endow the scheme with an ability to capture transcritical sections and wetting fronts in channels of abrupt topography. To test the approach, the scheme is first applied to idealized benchmark problems. The method is then used to route a severe flood through a complex river system: the Tanshui in Northern Taiwan. Computational results compare favorably with gauge records. Discrepancies in water stage represent no more than a fraction of the magnitude of typical bathymetry variations.
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Published In
Journal of Hydraulic Engineering
Volume 129 • Issue 5 • May 2003
Pages: 385 - 393
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Aug 10, 2000
Accepted: Nov 19, 2002
Published online: Apr 15, 2003
Published in print: May 2003
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