基于恒定陡度聚焦波模型的分析与讨论

Analysis and discussion of focused wave model based on constant steepness method

1998年,Kway J H L提出了恒定陡度方式产生聚焦波的方法,基于此方法去研究它产生的聚焦波的特性。在该方法中,陡度是恒定的,表示为波分量振幅乘以其相应的波数。波数对应波频率,一旦波频率组成确定,就可以确定相应的波幅,这样按线性叠加原理可以表示出聚焦波。在聚焦时间和聚焦位置不变并且不考虑波浪破碎的情况下,分别改变水深、中心频率、恒定陡度、波频率范围和频率分割大小,观察聚焦波特性的变化。聚焦波特性包括峰值、峰值与次峰值之比、恒定陡度、中心频率、频率范围对聚焦波形状的影响。分析结果将对使用恒定陡度方式产生聚焦波的研究有所帮助。

In 1998,Kway J H L proposed a method of generating focused waves in a constant steepness method.Based on this method,the characteristics of the focused waves generated by it were studied.In this method,the steepness is constant,and it is expressed as the amplitude of the wave component multiplied by its corresponding wave number.The wave number corresponds to the wave frequency.Once the wave frequency composition was determined,the corresponding wave amplitude could be determined.In this way,the focused wave could be represented according to the principle of linear superposition.Under the condition that the focusing time and the focusing position were unchanged and the breaking of waves was not considered,the water depth,central frequency,constant steepness,wave frequency range and frequency segmentation were respectively changed that could be observe the changes of the focused waves characteristics.The focused waves signs included the ratio of peak to secondary peak,as well as the influenced of constant steepness,center frequency and frequency ranged on the shape of the focusing wave.The analysis results can be helpful to the study of generating focused waves using a constant gradient method.