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TECHNICAL PAPERS

Numerical Simulations of Hydraulic Jumps in Water Sloshing and Water Impacting

[+] Author and Article Information
Tzung-hang Lee

Department of Mechanical Engineering, Tamkang University, Tamsui, Taiwan, R.O.C.e-mail: zouhan@mail.tku.edu.tw

Zhengquan Zhou

School of Naval Architecture and Marine Engineering, University of New Orleans, New Orleans, LA 70148e-mail: zhengqzhou@yahoo.com

Yusong Cao

C-Z Marine Technology, Inc., 2100 Jefferson Ave., New Orleans, LA 70115e-mail: yusong@czmarine.com

J. Fluids Eng 124(1), 215-226 (Sep 13, 2001) (12 pages) doi:10.1115/1.1436097 History: Received November 13, 2000; Revised September 13, 2001
Copyright © 2002 by ASME
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References

Figures

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Coordinate system configuration
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Shallow water flow coordinate system
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Time stepping of the flow solution for Element i. (a) Flow state at τ=nΔτ; (b) intermediate flow state at τ=(n+1/2)Δτ; (c) flow state at τ=(n+1)Δτ
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Time stepping of the flow solution for the element at the end of the flow domain. (a) Flow state at τ=nΔτ; (b) intermediate flow state at τ=(n+1/2)Δτ; (c) flow state at τ=(n+1)Δτ
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Comparison of water depth of dam-breaking problem
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Comparison of velocity of dam-breaking problem
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Fluid oscillation in an oil tank
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Effect of resolution of Δy on the simulation of hydraulic jumps
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Effect of resolution of Δy on the sloshing moment
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Effect of the time step size Dt on the simulation of hydraulic jumps
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Effect of the time step size Dt on the sloshing moment
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Hydraulic jump traveling between the walls of a tank at t=9.25 s, 9.50s, 9.75s, 10.00s, 10.25s, and 10.50s. (Time increases from top to bottom; for each time, the horizontal axis ranges from −0.7 m to 0.7 and the vertical axis ranges from 0.0m to 0.2 m; Dt=0.25 s,ω0=2.46 s−1,h0=0.09 m)
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Comparison of water surface elevation at center of the tank
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Zoom view of the comparison of water surface elevation
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Comparison of water surface elevation at port side of tank
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Zoom view of the comparison of water surface elevation
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Comparison of rolling moment of first order component
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Sloshing moment at the range near ω=ω0
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Amplitude frequency response function
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Configuration of the experimental setup for the breaking of the water reservoir. (a) The locations of water depth probes (in mm); (b) the locations of the impact pressure transducers (in mm)

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