Numerical Simulations of Hydraulic Jumps in Water Sloshing and Water Impacting

摘要

A numerical investigation on Glimm's method as applied to water sloshing and impacting is carried out. Emphasis is given to the handing and predicting hydraulic jumps . The effects of the spatial and temporal discrezations are examined .Three shallow water problems, 1) dam-breading problem,2) water solshing in a rolling tank, and 3) impact of stable of a water reservoir, are studied . It is shown numerically that Glimm's is stable and converged solutions can be obtained . The characteristics of the hydraulic jumps are well caputred by the numerical calculations. The numerical results are in good agreement with either analytical solutions or experimental data