论文标题
混乱和信息二维湍流
Chaos and information in two dimensional turbulence
论文作者
论文摘要
通过对不可压缩的均质和各向同性二维湍流进行大量完全分辨的模拟，我们研究了最大Lyapunov指数，Kolmogorov-Sinai熵和吸引子维度的缩放行为。发现最大Lyapunov指数的缩放与维度预测非常吻合。对于Kolmogorov-Sinai熵和吸引子维度的情况，简单的维度预测不足。发现对系统大小和强迫长度尺度的依赖性，表明非宇宙行为。还讨论了这些结果对大气可预测性的适用性。
By performing a large number of fully resolved simulations of incompressible homogeneous and isotropic two dimensional turbulence, we study the scaling behavior of the maximal Lyapunov exponent, the Kolmogorov-Sinai entropy and attractor dimension. The scaling of the maximal Lyapunov exponent is found to be in good agreement with the dimensional predictions. For the cases of the Kolmogorov-Sinai entropy and attractor dimension the simple dimensional predictions are found to be insufficient. A dependence on the system size and the forcing length scale is found, suggesting non-universal behavior. The applicability of these results to atmospheric predictability is also discussed.
