Numerical solution of a mathematical model for water waves in large coastal areas

摘要

Based on the evolution equation for water waves, a mathematical model for wave propaga- tion in large mild-slope areas is derived. The model is solved by the finite difference method with the staggered grid system. The computational results are in good agreement with experimental data and show that the model can obtain better results with relatively coarser grids. The model can be used to simulate water wave propagation in large coastal areas and can be efficiently solved without much pro- gramming effort.