Cascade models based on dynamical complex networks are proposed as models of the turbulent energy cascade. Taking a simple shell model as the initial regular lattice with only nearest neighbor interactions, small world network models are constructed by adding or replacing some of the existing local interactions by nonlocal ones. The models are then evolved over time, both by solving for the shell velocity variable using an arbitrary network generalization of the shell model evolution and by rewiring the network each time from the original lattice in regular time intervals. This results in a more intermittent time evolution with larger variations of the wavenumber spectrum. It also results in an increase in intermittency, computed from the exponents of structure functions obtained from these models. It is observed that the intermittency increases as the ratio of random nonlocal connections to local nearest-neighbor connections increases. The possibility of extraction of such models from direct numerical simulations is discussed and a detailed example for two dimensional turbulence is given.

提出了基于动态复杂网络的级联模型作为湍流能量级联模型。将一个简单的壳模型作为只有最近邻相互作用的初始规则格子，通过添加或用非局部相互作用替换一些现有的局部相互作用来构建小世界网络模型。然后，通过使用壳模型演化的任意网络概括来求解壳速度变量，以及通过以规则的时间间隔每次从原始晶格重新连接网络，模型随着时间的推移而演化。这导致波数谱变化更大的间歇性时间演变。它还导致从这些模型获得的结构函数的指数计算的间歇性增加。可以观察到，随着随机非本地连接与本地最近邻连接的比率增加，间歇性增加。讨论了从直接数值模拟中提取此类模型的可能性，并给出了二维湍流的详细示例。