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Numerical solution of two-dimensional shallow water equations has been achieved by the finite element method. In this work, the governing equations were first converted into different equations suitable for explicit, forward marching, integration in the time domain. A second order Taylor’s series expansion was used for the continuity equation and an “upwind” differencing was incorporated in the nonlinear convective terms in the momentum equations.The model was applied to Tolo Harbour in Hong Kong. Velocity vector plots and surface elevations obtained from the calculations are reasonably consistent with the expected tidal response of the systems.
Numerical solution of two-dimensional shallow water equations has been achieved by the finite element method. In this work, the governing equations were first achieved into the different equations suitable for explicit, forward marching, integration in the time domain. A second order Taylor’s series expansion was used for the continuity equation and an “upwind” differencing was incorporated in the nonlinear convective terms in the momentum equations. The model was applied to Tolo Harbor in Hong Kong. Velocity vector plots and surface elevations obtained from the calculations are reasonably consistent with the expected tidal response of the systems.