论文标题
部分可观测时空混沌系统的无模型预测
A shallow layer laboratory model of large-scale atmospheric circulation
论文作者
论文摘要
储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。
A new shallow layer laboratory model of global atmosphere circulation is realized. The shallow rotating cylindrical layer of fluid with the localized heater at the bottom periphery and localized cooler in the central part of the upper boundary is considered. The rim heater imitates the equator heating and disc cooler -- the north pole cooling. The rim heater is intentionally shifted from the sidewall to decrease the influence of the no-slip vertical boundaries and provide anticyclonic-cyclonic motion in the upper layer, imitating the formation of large-scale zonal flows (easterlies and westerlies) in the low latitudes. The low-viscous silicon oil is used instead of water to avoid complex effects provided by the formation of a thin film of a surface-active substance on the open surface. The flow transforms from the Hadley-like regime to the baroclinic wave regime through transitional states. The decrease in the thermal Rossby number for the fixed value of Taylor number results in the regularization of the baroclinic waves. The main difference between presented and classical annulus configurations is the absence of the steady waves. All wave regimes, even with regular wave structures, are characterized by strong non-periodic fluctuations. The observed baroclinic wave structures are a combination of temporarily evolving different baroclinic modes. The presented model provides the formation of atmospheric-like flows, characterized by complex temporal behaviour and can serve as an efficient tool for studying different aspects of global atmospheric circulation.