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EXPERIMENTS ON DEEP-WATER WAVES WITH TWO-DIMENSIONAL SURFACE PATTERNS

机译:二维表面模式的深水波实验

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Experiments are conducted in a three-dimensional wave basin with a wavemaker system comprising 32 side-by-side paddles for which there is precise control. Two types of wavemaker forcings are used to create two-dimensional surface patterns: (1) two symmetric carrier waves interacting at an oblique angle and (2) a single carrier wave propagating in the x-direction with a Jacobi elliptic, sn-function modulation in the y-direction. Data are presented from overhead photographs and from time series obtained by traversing a wave-gage through the patterns. Two parameters are systematically varied: the horizontal aspect ratio of the cells comprising the surface pattern and the measure of nonlinearity of the input wavefield. Unlike such waves in shallow water for which the surface pattern is made up of six-sided cells, the wave pattern for waves in deep water is made up of rectangular cells. Both the overhead photographs and the time series show that for most values of the two parameters, the wavefields evolve with significant modulations in both the x and y directions. In particular, when the aspect ratio of the cells is below about 0.4 for a fixed measure of nonlinearity, there is significant modulation in the y-direction that results in cells with smaller aspect ratios. For aspect ratio above about 0.4, the cells appear to be stable (except for viscous decay) for smaller values of nonlinearity. However, for larger values of nonlinearity even these cells modulate in the y-direction, further increasing the aspect ratio of the evolving cells. For the largest value of nonlinearity considered, the pattern evolves into one that comprises cells with aspect ratios of about 1.
机译:实验是在带有造波器系统的三维波盆中进行的,该造波器系统包括32个并排的桨,可对其进行精确控制。两种类型的造波器强迫用于创建二维表面图案:(1)两个对称的载波以斜角相互作用,(2)单个载波在x方向上传播,具有Jacobi椭圆,锡函数调制在y方向上。数据是从高架照片和通过波型穿过模式获得的时间序列中显示的。系统地改变了两个参数:组成表面图案的单元的水平纵横比和输入波场的非线性度。不同于这样的浅水波,其表面图案由六边形单元构成,而深水波的波图案由矩形单元构成。头顶照片和时间序列都表明,对于这两个参数的大多数值,波场在x和y方向上均以明显的调制变化。特别地,当对于固定的非线性度量,单元的长宽比低于约0.4时,在y方向上存在显着的调制,这导致单元具有较小的长宽比。对于大于约0.4的纵横比,对于较小的非线性值,像元看起来是稳定的(粘性衰减除外)。但是,对于较大的非线性值,即使这些单元在y方向上进行调制,也进一步增加了正在演化的单元的纵横比。对于所考虑的最大非线性值,该模式演变为一个包含纵横比约为1的单元的模式。

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