论文标题
旋转湍流的可预测性：来自壳模型研究的见解
Predictability in Rotating Turbulence: Insights from a Shell Model Study
论文作者
论文摘要
我们通过旋转湍流模型的大量数值模拟来研究旋转湍流的可预测性方面。特别是，我们测量了大规模可预测性时间，并发现它随旋转速度而增加，以满足Rossby数字的功率法，而缩放指数为$ -2/3 $。有趣的是，我们发现，在进入代数生长阶段之前，误差动力学会在有限的rossby数字确定的时间段内冻结。我们进一步分析了可预测性时间的规模依赖性，并观察到随着Rossby数量的减少，它倾向于在Zeman范围内变得独立。最后，我们计算有限尺寸lyapunov指数，并验证其缩放$ \simδ^{ - 1} $的尺寸预测，用于Zeman范围内的大$δ$，用于小罗斯比数字。
We investigate the predictability aspects of rotating turbulent flows through extensive numerical simulations of a shell model of rotating turbulence. In particular, we measure the large-scale predictability time and find that it increases with rotation rate to satisfy a power law in Rossby number with a scaling exponent of $-2/3$. Intriguingly, we find that before entering the algebraic growth stage, the error dynamics freezes for a time period determined by the finite Rossby number. We further analyse the scale dependence of the predictability time and observe that it tends to become scale independent in the Zeman range as the Rossby number decreases. Finally, we compute the finite size Lyapunov exponent and validate the dimensional prediction of its scaling $\simδ^{-1}$ for large $δ$ of the order of velocities in the Zeman range for small Rossby numbers.
