The role of Rossby waves in decaying turbulent motion on a rotating sphere : an insight on zonal wind distributions of planetary atmospheres.

本研究的目的是研究旋转球壳上的二维无散流动行为。我们期望对真实地球和/或行星大气中的纬向流分布有一些了解。同时，我们的目的也包括为我们的科学目标开发一个合适的计算和/或信息环境。东京大学和九州大学通过互联网开发共同的软件资源和环境的实验揭示了我们程序结构中的几个致命问题需要改进。我们开发的软件资源存在严重的管理费用问题。旨在开发包含高维模式的结构化软件，即浅水模式和三维球面对流模式的活动，完成的阶段并不是很理想。然而，通过互联网进行的协作实验性能良好，部分为…东京和九州之间的计算机通信为目标的合作提供了良好的环境。用数值方法进行的二维球面波实验验证了Rossby波在高纬度被吸收并在那里向东沉积角动量的情景是可以接受的。弱非线性实验中，由于弱相互作用，非线性项仅限于纬向加速度，证实了该加速机制是由弱非线性理论描述的。然而，我们不能给出WKB理论所期望的波包被临界纬度吸收的非常令人信服的例子。实验所用的分辨率似乎不足以得到这样的结果。三维球面实验表明，由热对流得到的赤道纬向加速度也可以用Rossby波的动力学来解释，Rossby波是由球面几何所强迫的二维约束产生的。利用存在的Rossby波，我们成功地对对流运动产生的东西向加速度进行了分类。较少

The purpose of this study was to investigate the behavior oftwo-dimensional non-divergent flow on a rotating spherical shell. We expected to obtain some insight on the distribution of zonal flowsobserved in the real earth and/or planetary atmospheres. Our purpose also contained, in the mean time, developing a suitable computation and/or information environment for pursuing our scientific object.The experiment of developing common software resources and environment between the groups of University Tokyo and Kyushu University via Internet revealed several fatal issues to be improved in our program structures. There were heavy overhead problems in our developed software resources. The activity aiming at developing a structured software including high dimensional models, that is, the shallow water model and three dimensional spherical convection model, finished with not very satisfying stage. However, the collaboration experiment via Internet was carried out with good performance, partly o … More wing to the eatablishment of SINET.The computer communication between the workstations of Tokyo and Kyushu presented good environment for destant collaboration.The two-dimensional spherical experiment with numerical method verified that the scenario in which Rossby waves are absorbed in the higher latitudes and deposit eastward angular momentum there was acceptable. The weak non-linear experiments in which the non-linear terms were restricted only to the zonal acceleration due to weak interaction confirmed that the acceleration mechanism was that described by weak non-linear theory. However, we couold not produce very convincing example where a wave packet was absorbed by the critical latitude as was expected by WKB theory. The resolution used in the experiment seemed to be insufficient in obtaining such results.The three dimentional spherical experiments showed that the equatorial zonal acceleration obtained by thermal convection is also explained by the dynamics of Rossby waves which emerge from the two dimensional constraint forced by the spherical geometry. We succeeded in classifying the east-west acceleration due to convective motion by the use of Rossby waves existing there. Less