论文标题
浅水中可整合湍流的实验研究
Experimental study of integrable turbulence in shallow water
论文作者
论文摘要
我们在线性波水槽中分析了一组双向波实验，其中有些有利于整合湍流。在所有实验中，Wavemaker强迫是正弦的，波动是由七个高分辨率侧面摄像机记录的。实施周期性散射变换，并计算出功率谱密度，以区分线性波运动态与可集成的湍流和孤子气体。迫使Ursell数量和相对幅度的WaveMaker的值必须高于某个阈值，以使其积分湍流发生。尽管不可避免的慢速阻尼，但由于WaveMaker的连续能量输入，Soliton气体达到了固定状态。统计特性是根据概率密度分布，偏度和峰度给出的。通过波动者引起的正弦波运动的混乱，通往可集成的湍流的途径取决于波的非线性，但同样取决于波浪场上的WaveMaker反馈引起的振幅扩增和还原。
We analyze a set of bidirectional wave experiments in a linear wave flume of which some are conducive to integrable turbulence. In all experiments the wavemaker forcing is sinusoidal and the wave motion is recorded by seven high-resolution side-looking cameras. The periodic scattering transform is implemented and power spectral densities computed to discriminate linear wave motion states from integrable turbulence and soliton gas. Values of the wavemaker forcing Ursell number and relative amplitude are required to be above some threshold values for the integral turbulence to occur. Despite the unavoidable slow damping, soliton gases achieve stationary states because of the continuous energy input by the wavemaker. The statistical properties are given in terms of probability density distribution, skewness and kurtosis. The route to integrable turbulence, by the disorganization of the wavemaker induced sinusoidal wave motion, depends on the non-linearity of the waves but equally on the amplitude amplification and reduction due to the wavemaker feedback on the wave field.
