论文标题
共线毛细管波湍流的数值模拟
Numerical Simulation of Collinear Capillary-Wave Turbulence
论文作者
论文摘要
我们报告了准二维双向毛细管波湍流的直接数值模拟。尽管在这种特殊的几何形状中不存在非平凡的三波和四波共振相互作用，但我们表明，尺度之间的能量传递仍然集中在非线性扩大的线性分散关系周围。波谱显示了一个清晰的波数范围，发现与涉及四波相互作用的毛细管波湍流的尺寸预测非常吻合。进行的高阶相关分析（双晶和三晶）确认了四波准谐波相互作用的主要作用。 Kolmogorov-Zakharov频谱常数也被数值估计。我们将结果解释为对各向异性毛细管波湍流的第一个数值观察，其中四波相互作用起着主要的作用
We report on direct numerical simulation of quasi-one-dimensional bidirectional capillary-wave turbulence. Although nontrivial three-wave and four-wave resonant interactions are absent in this peculiar geometry, we show that an energy transfer between scales still occurs concentrated around the linear dispersion relation that is broadened by nonlinearity. The wave spectrum displays a clear wave number power-law scaling that is found to be in good agreement with the dimensionally prediction for capillary-wave turbulence involving four-wave interactions. The carried out high-order correlation analysis (bicoherence and tricoherence) confirms quantitatively the dominant role of four-wave quasi-resonant interactions. The Kolmogorov-Zakharov spectrum constant is also estimated numerically. We interpret our results as the first numerical observation of anisotropic capillary-wave turbulence in which four-wave interactions play a dominant role
