2011 Fiscal Year Final Research Report
Application of a projection operator method to turbulence
| Project/Area Number |
21560067
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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 |
Engineering fundamentals
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| Research Institution | Kyushu University |
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Principal Investigator |
OKAMURA Makoto 九州大学, 応用力学研究所, 准教授 (00185472)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 物理数学 |
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| Research Abstract |
We investigate the structure of the time correlation function for one-dimensional turbulence with a projection operator method. A closed model equation for the time correlation function is derived assuming the similarity between the time correlation function and the memory function. We obtain the following asymptotic forms of the time correlation functions both by solving the model equation and by carrying out the direct numerical simulation of the Kuramoto-Sivashinsky equation, which is a typical governing equation for one-dimensional turbulence : 1) the time correlation function indicates the algebraic form for the initial regime ; 2) the time correlation function decays exponentially with or without oscillation for the final regime depending on the wavenumber.
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