| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Intermittency and Thermalization in Turbulence |
| ZHU Jian-Zhou1, Mark Taylor2 |
| 1Theoretical Division and CNLS, MS B258, Los Alamos National Laboratory, Los Alamos, NM 87545, U.S.A. 2CCIM, MS 0370, Sandia National Laboratories, Albuquerque, NM 87185, U.S.A. |
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| Cite this article: |
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ZHU Jian-Zhou, Mark Taylor 2010 Chin. Phys. Lett. 27 054702 |
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Abstract A dissipation rate, which grows faster than any power of the wave number in Fourier space, may be scaled to lead a hydrodynamic system to actually or potentially converge to its Galerkin truncation. Actual convergence here means the asymptotic truncation at a finite wavenumber kG above which modes have no dynamics; and, we define potential convergence for the truncation at kG which, however, grows without bound. Both types of convergence can be obtained with the dissipation rate μ[cosh (κ/κ_c)-1]that behaves as k2 (newtonian) and exp{κ/κ_c}for small and large κ/κ_c respectively. Competing physics of cascade, thermalization and dissipation are discussed for numerical Navier-Stokes turbulence, emphasizing the intermittency growth issue.
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| Keywords:
47.27.Gs
05.20.Jj
02.30.Jr
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Received: 30 September 2009
Published: 23 April 2010
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| PACS: |
47.27.Gs
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(Isotropic turbulence; homogeneous turbulence)
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05.20.Jj
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(Statistical mechanics of classical fluids)
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02.30.Jr
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(Partial differential equations)
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