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2015 Fiscal Year Final Research Report

Coexistence Mechanism of Turbulent Regions with Different Statistical Properties in a Uniform System

Research Project

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Project/Area Number 25400412
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionDoshisha University

Principal Investigator

TAKAOKA Masanori  同志社大学, 理工学部, 教授 (20236186)

Co-Investigator(Kenkyū-buntansha) MIZUNO Yoshinori  同志社大学, 理工学部, 助教 (70402542)
YOKOYAMA Naoto  京都大学, 工学研究科, 助教 (80512730)
Project Period (FY) 2013-04-01 – 2016-03-31
Keywords共存機構 / 弾性波動乱流 / 平行平板間乱流 / 数値シミュレーション / 冪乗則スペクトル / エネルギー輸送 / 階層構造 / 非線形エネルギー
Outline of Final Research Achievements

Although turbulence has characteristics of active mixing and interaction among scales, non-uniformity sometimes becomes pronounced. In this study, we focus on the coexistence of turbulent regions with different statistical properties in turbulence, and obtain following results.
We have clarified that, in turbulent channels, the hierarchical structures of energy transfer in the perpendicular direction to the wall and the energy transfers among each directional component of turbulence. We have obtained an analytical expression for the separation wavenumber between strong turbulence at low wavenumbers and weak turbulence at high wavenumbers in wave turbulence on an elastic thin plate. We have used the one-wavenumber representation of nonlinear energy and clarified the energy flow with satisfying the detailed energy balance for the first time in wave turbulence systems. We further clarified the relation between the real space structure and the energy transfer in active and moderate phases.

Free Research Field

流体物理学

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Published: 2017-05-10  

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