NONLINEAR SHALLOW-WATER FLOW ON DECK

Euler's equations have been used for nonlinear shallow-water flow on d eck. The equations are simplified under the shallow-water assumption t o obtain the governing equations. The Flux-Difference Splitting method is devised to solve this shallow-water flow problem. The flux-differe nce in the governing equations is split based on characteristic direct ions. The Superbee flux limiter is employed in the algorithm to make t he finite-difference scheme of second order with high resolution. For two-dimensional decks, numerical results are presented to reveal the c haracteristics of shallow-water flow on deck. For three-dimensional de cks, the Flux-Difference Splitting method together with the Fractional Step method are used, so that solutions of the shallow-water equation can be obtained by solving two sets of one-dimensional differential e quations. Numerical results are presented to show the wave patterns fo r different modes of motion excitation. Velocity vectors in the flow f ield are also given to help understand the flow properties.