Construction of closures and theretical studies on geostrophic turbulence using closures

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K05288
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Meteorology/Physical oceanography/Hydrology
• Research Institution: Kobe University
• Principal Investigator: Iwayama Takahiro 神戸大学, 理学研究科, 准教授 (10284598)
• Co-Investigator(Renkei-kenkyūsha): WATANABE Takeshi 名古屋工業大学, 工学研究科, 准教授 (30345946) ; MURAKAMI Shin-ya 宇宙航空研究開発機構宇宙科学研究所, PLANET-Cプロジェクトチーム, 研究開発員 (40769783)
• Research Collaborator: OKAZAKI Seigo 神戸大学, 大学院理学研究科 ; MURAKAMI Miyuki 神戸大学, 大学院理学研究科
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: α乱流 / 一般化された2次元流体 / 2次元乱流 / エンストロフィー慣性領域 / 非局所相互作用

Outline of Final Research Achievements

The enstrophy spectrum in the enstrophy inertial range for forced-dissipative turbulence governed by the generalized two-dimensional turbulence, the so-called α-turbulence was theoretically investigated. The governing equations of this system includes the real parameter α and the parameter affects to the dynamics of this system. The preexisting studies indicate that the enstrophy inertial range spectrum obeys the power-law with a negative exponent. The exponent depends on α for α<2, however, it is independent of α for α>2. That is, the exponent exhibits a transition at α=2. Using the eddy damped quasi-normal Markovian closure approximation equation of this system, the transition of the exponent was successfully derived theoretically.

Free Research Field

地球流体力学