Nonhydrostatic Dam Break Flows. II: One-Dimensional Depth-Averaged Modeling for Movable Bed Flows
Publication: Journal of Hydraulic Engineering
Volume 142, Issue 12
Abstract
The dam break flow over a movable bed is an important problem in fluvial flow processes. These flows are usually predicted by a one-dimensional (1D) approach based on a hydrostatic pressure distribution. Recent three-dimensional (3D) nonhydrostatic simulations of dam break waves over movable beds based on the Reynolds-averaged Navier-Stokes (RANS) equations revealed that the Saint Venant theory is not accurate in predicting the flow dynamics within the scour hole developed. In this work, a generalized 1D nonhydrostatic model for flow over movable beds is proposed assuming a linear, nonhydrostatic, pressure distribution. The new set of 1D equations accounts for the vertical acceleration, which is important in dam break waves over movable beds given the instantaneous curved beds generated over the erodible terrain. These equations account for both the bed and suspended-load transport modes. A high-resolution finite volume numerical scheme with a semi-implicit treatment of nonhydrostatic terms is developed to solve the governing equations, producing solutions that are in good agreement with 3D computational results and experimental data. The free surface profiles predicted by the new model show a significant improvement as compared to those obtained from the existing hydrostatic simulations. The unsteady nonhydrostatic simulations are shown to be convergent to steady flow solutions with nonhydrostatic pressure.
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Acknowledgments
This study is supported by the Spanish project CTM2013-45666-R, Ministerio de Economía y Competitividad. The authors thank Professor W. Wu for personal communications which allowed us to improve the sediment transport module used in this study.
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Published In
Journal of Hydraulic Engineering
Volume 142 • Issue 12 • December 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Nov 2, 2015
Accepted: May 4, 2016
Published online: Aug 8, 2016
Published in print: Dec 1, 2016
Discussion open until: Jan 8, 2017
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