Dynamics of coupled fluid system and its applications to atmosphere and ocean.

耦合流体系统动力学及其在大气和海洋中的应用。

• 批准号: 05804021
• 负责人: SAKAI Satoshi
• 金额: $ 1.47万
• 依托单位: KYOTO UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1993
• 资助国家: 日本
• 起止时间: 1993 至 1994
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-05804021/
• 关键词: stability problem; eigenvalue problem; atmosphere; ocean; structured system; システム; 共鳴; 順圧不安定; 傾圧不安定

Atmosphere and oceans are a complicated system where many phenomena are interacting. These have been studied to understand specific phenomenon with some appropriate simplifications. These smplifications, however, can not be applied to total system that consists of many elements, because one simplificaion applied to an element differs from others. Although the computer can solve the problem without any simplificaion, its solution contains all physics and very complicated so that conventional simple criteria can not be applied. This study aims to construct a comprehensive theory of the system of fluid dynamics, that is compatible with conventional physical criteria.In this study, it is shown that the conventional stability problem of the fluid is equivalent with resonance of structural waves which is defined in specific manner. This theory has been extended to more general problems considering the meaning of wave momentum. The extended theory shows that the interaction coefficient, which appears in resonant equations, is proportional to the wave momenta of the structural waves. This indicate that the new theory is not only formaly beautiful, but it has physical bases. Further extension of the theory is possible and it can be applied to western boundary current of the ocean.

大气和海洋是一个复杂的系统，许多现象在其中相互作用。我们对这些现象进行了研究，以便通过适当的简化来理解具体的现象。然而，这些简化不能应用于由许多元素组成的整个系统，因为应用于一个元素的一个简化与其他简化不同。虽然计算机可以不做任何简化地解决这个问题，但它的解包含了所有的物理性质，而且非常复杂，以致于传统的简单准则无法适用。本研究旨在建立一个与常规物理准则兼容的流体动力学系统的综合理论。本文的研究表明，流体的常规稳定性问题与结构波的共振问题是等价的，结构波的共振是有具体定义的。考虑到波动量的意义，这一理论已被推广到更一般的问题。推广理论表明，在共振方程中出现的相互作用系数与结构波的波动量成正比。这表明，新理论不仅在形式上很漂亮，而且有物理基础。该理论有进一步推广的可能，并可应用于海洋西边界流。

项目成果

S.Kobayashi and S.Sakai: "Barotropic unstable modes in zonal and meridional channel on the beta-plane" Geophys. Astrophys. Fluid Dyn.vol.71. 73-103

S.Kobayashi 和 S.Sakai：“β 平面上纬向和经向通道的正压不稳定模式”地球物理学。

S. Kobayashi and S. Sakai: "Barotropic unstable modes in zonal and meridional channel on the beta-plane" Geophys. Astrophys. Fluid Dyn.71. 73-103 (1993)

S. Kobayashi 和 S. Sakai：“β 平面上纬向和经向通道的正压不稳定模式”地球物理学。

S.Kobayashi and S.Sakai: "Barotropic unstable modes in zonal and meridional channel on the beta-plane" Geophys.Astrophys.Fluid Dyn.71. 73-103 (1993)

S.Kobayashi 和 S.Sakai：“β 平面上纬向和经向通道中的正压不稳定模式”Geophys.Astrophys.Fluid Dyn.71。