Vertical 2D Nonhydrostatic Model Using Mode Splitting for Dam-Break Flows
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Volume 144, Issue 6
Abstract
A vertical two-dimensional (2D) nonhydrostatic numerical model for dam-break flows is proposed. This model combines a depth-averaged shallow-water equations (SWEs) model and a nonhydrostatic core using mode splitting. The nonhydrostatic core is solved under the free surface provided by the SWE model, in which tracking the complex and discontinuous free surface of dam-break flows in vertical spaces is avoided. In a test of an ideal dam-break flow, the new model was revealed able to capture the discontinuous free surface of dam-break flows and produce reasonable simulation results for velocity and nonhydrostatic pressure. The proposed model was further tested using an experiment of dam-break flow over dry bed with a trapezoidal step. The new model with the first-order Riemann solver produces a discontinuous reflected wavefront in the simulated free-surface profiles. The simulated free-surface profiles are improved by the new model with the second-order Riemann solver, and further improvements by using the volume-of-fluid (VOF) three-dimensional (3D) model are slight.
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Acknowledgments
Financial support from National Key R&D Program of China (Grant No. 2016YFC0402305), the Fundamental Research Funds for the Central Universities (2017KFYXJJ197), China’s National Natural Science Foundation (51339001, 51509216, and 51109009), and the Foundation of the Yangtze River Scientific Research Institute (CKSF2017041/HL and CKSF2017059/HL) are acknowledged.
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Published In
Journal of Hydraulic Engineering
Volume 144 • Issue 6 • June 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Jun 18, 2017
Accepted: Dec 20, 2017
Published online: Mar 29, 2018
Published in print: Jun 1, 2018
Discussion open until: Aug 29, 2018
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