Study of vortex motions for a generalized two-dimensional fluid system using point-vortex model

2014 Fiscal Year Final Research Report

• Project/Area Number: 24540472
• 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(系)研究科(研究院), 准教授 (10284598)
• Co-Investigator(Renkei-kenkyūsha): WATANABE Takeshi 名古屋工業大学, 大学院工学研究科, 准教授 (30345946) ; YAMASAKI Kazuhito 神戸大学, 大学院理学研究科, 講師 (20335417)
• Research Collaborator: SUEYOSHI Masakazu ; MURAKAMI Shinya 神戸大学, 大学院理学研究科, 研究員
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: 一般化された2次元流体 / 2次元乱流 / 平行流の線形安定性 / ケルビン・ヘルムホルツ不安定 / 赤外領域スペクトル / 渦粘性

Outline of Final Research Achievements

Linear stability of parallel shear flows and turbulent properties of a generalized two-dimensional fluid system were investigated theoretically and numerically. We derived a sufficient condition for stability of parallel shear flows and solved the so-called Kelvin-Helmholtz instability problem. Furthermore, using an asymptotic analysis of Eddy Damped Quasi-Normal Markovianized equation for a generalized two-dimensional fluid system, we predicted the existence of a universal spectrum in the infrared range and the anomalous form of the eddy viscosity. Those results were verified by direct numerical simulations of the governing equation for a generalized two-dimensional fluid system.

Free Research Field

地球流体力学