波浪增减水的实用数学模型及其数值模拟
Numerical simulation of a practical model for wave set-up
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摘要: 提出了一种模拟近岸区波浪增减水的实用数学模型.首先采用考虑波能损失的抛物型缓坡方程数值模拟波浪破碎引起的波浪复振幅变化,接着根据计算得到的波浪复振幅,采用一种新的辐射应力公式计算辐射应力分量,然后采用深度平均方程计算波浪破碎产生的增减水.采用该模型对规则波和不规则波破碎引起的增减水进行了数值模拟,数值模拟结果与实验结果吻合良好,表明该模型可有效模拟近岸区由于波浪破碎引起的增减水.Abstract: A practical model for the simulation of wave set-up in coastal areas is proposed.The variation of the complex wave amplitude is numerically simulated first by use of the parabolic mild-slope equation including the effect of the wave energy dissipation due to wave breaking.The components of wave radiation stress are calculated subsequently by new expressions for them according to the obtained complex wave amplitude,and then the depthaveraged equation is applied to the calculation of wave set-up due to wave breaking.The model is used to simulate the wave set-up of regular and irregular waves.The numerical results are in good agreement with experimental data,which shows that the model can simulate effectively the wave set-up due to wave breaking in the coastal areas.
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Key words:
- wave set-up /
- mathematical model /
- numerical simulation
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