A numerical investigation on Glimm’s method as applied to water sloshing and impacting is carried out. Emphasis is given to the handling and predicting hydraulic jumps. The effects of the spatial and temporal discretizations are examined. Three shallow water problems, 1) dam-breaking problem, 2) water sloshing in a rolling tank, and 3) impact of breaking of a water reservoir, are studied. It is shown numerically that Glimm’s method is stable and converged solutions can be obtained. The characteristics of the hydraulic jumps are well captured by the numerical calculations. The numerical results are in good agreement with either analytical solutions or experimental data.
Numerical Simulations of Hydraulic Jumps in Water Sloshing and Water Impacting
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division November 13, 2000; revised manuscript received September 13, 2001. Associate Editor: J. Marshall.
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Lee, T., Zhou, Z., and Cao, Y. (September 13, 2001). "Numerical Simulations of Hydraulic Jumps in Water Sloshing and Water Impacting ." ASME. J. Fluids Eng. March 2002; 124(1): 215–226. https://doi.org/10.1115/1.1436097
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