2011 Fiscal Year Final Research Report
Nonlinear Dynamics of Curved Vortical Structures
| Project/Area Number |
20540379
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Tohoku University (2009-2011)
Kyushu Institute of Technology (2008) |
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Principal Investigator |
HATTORI Yuji 東北大学, 流体科学研究所, 教授 (70261469)
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| Project Period (FY) |
2008 – 2011
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| Keywords | 渦運動 / 線形安定性 / 曲率不安定性 / 直接数値シミュレーション / 非線形性 |
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| Research Abstract |
Vortices are important and fundamental structures in fluid dynamics. We clarify the effects of curvature on the behavior of vortices. The instability and nonlinear dynamics of a fat vortex ring, a helical vortex tube etc. are investigated theoretically ; the results are generalized to a general class of vortices which are curved. The effects of the axial flow, which exists in most of vortices, on the stability and nonlinear dynamics are also clarified by theoretical and numerical analysis. The obtained results are used to improve the statistical theory of turbulence.
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