Toy models of developed turbulence
We have investigated the advection of a passive scalar quantity by incompressible helical turbulent flow within the framework of extended Kraichnan model. Turbulent fluctuations of velocity field are assumed to have the Gaussian statistics with zero mean and defined noise with finite timecorrelat...
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| Datum: | 2005 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
2005
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| Schriftenreihe: | Condensed Matter Physics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/119487 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Toy models of developed turbulence / M. Hnatich, M. Jurcisin, M. Repasan // Condensed Matter Physics. — 2005. — Т. 8, № 1(41). — С. 123–133. — Бібліогр.: 30 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We have investigated the advection of a passive scalar quantity by incompressible
helical turbulent flow within the framework of extended Kraichnan
model. Turbulent fluctuations of velocity field are assumed to have
the Gaussian statistics with zero mean and defined noise with finite timecorrelation.
Actual calculations have been done up to two-loop approximation
within the framework of field-theoretic renormalization group approach.
It turned out that space parity violation (helicity) of turbulent environment
does not affect anomalous scaling which is a peculiar attribute of the corresponding
model without helicity. However, stability of asymptotic regimes,
where anomalous scaling takes place, strongly depends on the amount of
helicity. Moreover, helicity gives rise to the turbulent diffusivity, which has
been calculated in one-loop approximation. |
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