近岸大区域水波数学模型及其数值求解
Numerical solution of a mathematical model for water waves in large coastal areas
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摘要: 从水波发展方程出发,导出了大区域缓坡水波数学模型,并采用交错网格系统下的有限差分法对该数学模型进行了数值求解,计算结果表明该数学模型在粗网格下也能得到与实验结果比较一致的结果,从而表明该模型可用于较大区域的水波问题.该模型具有编程简单、求解比较快速、经济的优点.Abstract: Based on the evolution equation for water waves,a mathematical model for wave propagation 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 better results with relatively coarser grids can also be obtained by the model.The model can be used to simulate water wave propagation in large coastal areas and can be efficiently solved with little programming effort.
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Key words:
- Water wave /
- mathematical model /
- numerical solution
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