Computer Science
Scientific paper
Jan 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phdt........74b&link_type=abstract
Thesis (PH.D.)--THE UNIVERSITY OF TEXAS AT AUSTIN, 1992.Source: Dissertation Abstracts International, Volume: 53-04, Section: B,
Computer Science
Spillway
Scientific paper
Numerical models of free-surface spillway flows must address high flow velocities and the nonhydrostatic pressure distribution over the curved spillway bed. Common shallow water models invoke the hydrostatic assumption, and in the case of the St. Venant equations, also the mild-slope assumption and may not be adequate. In this investigation we develop the equations of a more general shallow water formulation that includes bed curvature effects. The equations have lateral and longitudinal resolution and an assumed bed-normal velocity distribution. There is no restriction placed on the velocity in the plane parallel to the bed. We then construct a finite element model that represents a discrete version of these equations and test its usefulness in comparison to water surface and pressure measurements gathered in flumes. A Petrov Galerkin scheme based on characteristic wave speeds is implemented to control spatial oscillations. Results with this model are compared to those for the standard steep-slope shallow water equations and the St. Venant equations. The results demonstrate that the new generalized shallow water equations are a significant improvement over these more conventional equations near the spillway crest, and thus in the prediction of the spillway capacity, and also compare well with measured bed pressures. Laterally, the new generalized shallow water equations provide only slight improvement over conventional equations in that the water surface is generally controlled by short-wave phenomena and these models are all long-wave models.
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