Department of Mathematics, Southern Methodist University, Dallas, Texas 75275-0156, USA.
Phys Rev E. 2017 Jun;95(6-1):062225. doi: 10.1103/PhysRevE.95.062225. Epub 2017 Jun 30.
We investigate statistical properties of wave turbulence by monitoring the dynamics of ensembles of trajectories. The system under investigation is a simplified model for surface gravity waves in one and two dimensions with a square-root dispersion and a four-wave interaction term. The simulations of decaying turbulence confirm the Kolmogorov-Zakharov spectral power distribution of wave turbulence theory. Fourth-order correlations are computed numerically as ensemble averages of trajectories. The shape, scaling, and time evolution of the correlations agree with the predictions of wave turbulence theory.
我们通过监测轨迹的动力学来研究波湍流的统计特性。所研究的系统是一个简化的一维和二维表面重力波模型，具有平方根色散和四波相互作用项。衰减湍流的模拟证实了波湍流理论的 Kolmogorov-Zakharov 谱功率分布。四阶相关通过轨迹的轨迹平均值进行数值计算。相关的形状、比例和时间演化与波湍流理论的预测一致。
