Chaotic analyses of 3D Lagrangian motions in the rotating annulus experiments.

本项目的目的是通过对旋转环空实验中气团的三维拉格朗日运动进行长期跟踪，对大气中的混沌现象进行实验研究。对于定常斜压波，我们已经完成了与Sugata和Yoden(1994)(Tajima et al，J.Meteor，Soc.Japan，1999)基于数值模拟的混沌分析的实验和分析。这里我们介绍了追踪200多个小时的Hadley流的实验。因此，我们可以证实Robinson(1959)的理论结果和Williams(1967)的数值分析(Tajima et al，J.Atmos.Sci.，2000)。拉格朗日观点在研究中起着特别重要的作用，已知的研究对象是平流层中的空气运动，该运动将臭氧等平流层物质从赤道输送到极地和极涡周围。在旋转的环空流体…中更多的实验，到目前为止，在水箱的整个水深上施加了径向温差，以产生模拟中纬度对流层波的Rossby波。在这里，我们只在水箱底部附近施加压力并加热水面，成功地在不稳定的下部产生了波流，并在稳定的层状上层产生了轴对称流动。首先，我们试图模拟与南半球看到的对流层漂移波相对应的漂移波的向上传播。然后我们引入锥底来模拟贝塔效应，并对波数5、4和3进行了实验，结果发现只有较小的波数-3的流动才有明显的传播。在夏半球，所有的对流层波都被禁止传播。此外，我们可以证实模拟这一事实的实验证据。在模拟与北半球大尺度地形产生的对流层驻波相对应的驻波向上传播的实验中，我们只在波数2处发现了向上传播，但我们观察到一些症状，表明波不稳定，需要重新进行这些实验来证实结果。我们已经向《大气科学杂志》提交了描述该项目结果的论文。较少

The purpose of this project is to experimentally study the chaotic phenomena of the atmosphere by carrying out long-term tracking of 3D Lagrangian motions of an air parcel in the rotating annulus experiments. For steady baroclinic waves, we have already completed the experiments and analyses that showed good agreement to the chaotic analyses based on the numerical simulations done by Sugata and Yoden (1994)(Tajima et al, J.Meteor, Soc.Japan, 1999). Here we conveyed the experiments on Hadley flows with the tracking of more than 200 hours. As a result, we could confirm the theoretical result obtained by Robinson (1959) and the numerical analyses done by Williams (1967)(Tajima et al, J.Atmos.Sci., 2000). The subjects for whose studies a Lagrangian view plays an especially important role have been known to be the motions of the air in the stratosphere that transports stratospheric substances such as ozone from the equator to poles and around the polar vortex. In the rotating annulus fluid … More experiments, so far a radial temperature difference has been imposed on the whole depth of the water in the tank to produce Rossby waves which simulate mid-latitude tropospheric waves. Here we succeeded in producing the wave flows in an unstable lower later and axisymmetric flows in a stable stratified upper layer by imposing only near the bottom of the tank and heating the water surface. At first we tried to simulate the upward propagation of the drifting waves that correspond to the tropospheric ones seen in the Southern Hemisphere. Then we introduced the conical bottom to model the beta effect and conducted the experiments on wavenumbers 5, 4 and 3. As a result, only the smaller wavenumber-3 flows were found to distinctively propagate. In the summer hemisphere, all the tropospheric waves are known to be prohibited from propagating. Furthermore, we could confirm the experimental evidence that simulates this fact. In the experiments to simulate the upward propagation of standing waves that corresponds the tropospheric ones produced by the large-scale topographies in the Northern Hemisphere, we found the upward propagation only in wavenumber 2. But we observed some symptom to tell that the waves were not steady so that we would need to carry out these experiments again to confirm the result. We have submitted the paper that describes the results of this project to Journal of Atmospheric Sciences. Less