Some specific features of the ε expansion in the theory of turbulence and the possibility of its improvement

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Some specific features of the ε expansion in the theory of turbulence and the possibility of its improvement. / Adzhemyan, L. Ts; Honkonen, J.; Kim, T. L.; Kompaniets, M. V.; Sladkoff, L.; Vasil'ev, A. N.

In: Journal of Physics A: Mathematical and General, Vol. 39, No. 25, S01, 23.06.2006, p. 7789-7799.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{e6410ab499e140c9bba8a366e5d54aca,

title = "Some specific features of the ε expansion in the theory of turbulence and the possibility of its improvement",

abstract = "Specific problems arising in the use of the method of renormalization group and ε expansion in the theory of developed turbulence are discussed: the necessity to take into account the dependence of the model parameters on the expansion parameter ε and the large magnitude of the physical value of the expansion parameter. It is shown that quantities independent of the amplitude of the correlation function of the random force possess a uniquely defined ε expansion. On the example of the two-loop calculation of the Kolmogorov constant and the turbulent Prandtl number, effectiveness of the improved expansion is demonstrated, which uses an approximate summation of the high-order terms of the ε expansion.",

author = "Adzhemyan, {L. Ts} and J. Honkonen and Kim, {T. L.} and Kompaniets, {M. V.} and L. Sladkoff and Vasil'ev, {A. N.}",

year = "2006",

month = jun,

day = "23",

doi = "10.1088/0305-4470/39/25/S01",

language = "English",

volume = "39",

pages = "7789--7799",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "25",

}

RIS

TY - JOUR

T1 - Some specific features of the ε expansion in the theory of turbulence and the possibility of its improvement

AU - Adzhemyan, L. Ts

AU - Honkonen, J.

AU - Kim, T. L.

AU - Kompaniets, M. V.

AU - Sladkoff, L.

AU - Vasil'ev, A. N.

PY - 2006/6/23

Y1 - 2006/6/23

N2 - Specific problems arising in the use of the method of renormalization group and ε expansion in the theory of developed turbulence are discussed: the necessity to take into account the dependence of the model parameters on the expansion parameter ε and the large magnitude of the physical value of the expansion parameter. It is shown that quantities independent of the amplitude of the correlation function of the random force possess a uniquely defined ε expansion. On the example of the two-loop calculation of the Kolmogorov constant and the turbulent Prandtl number, effectiveness of the improved expansion is demonstrated, which uses an approximate summation of the high-order terms of the ε expansion.

AB - Specific problems arising in the use of the method of renormalization group and ε expansion in the theory of developed turbulence are discussed: the necessity to take into account the dependence of the model parameters on the expansion parameter ε and the large magnitude of the physical value of the expansion parameter. It is shown that quantities independent of the amplitude of the correlation function of the random force possess a uniquely defined ε expansion. On the example of the two-loop calculation of the Kolmogorov constant and the turbulent Prandtl number, effectiveness of the improved expansion is demonstrated, which uses an approximate summation of the high-order terms of the ε expansion.

UR - http://www.scopus.com/inward/record.url?scp=33745086870&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/39/25/S01

DO - 10.1088/0305-4470/39/25/S01

M3 - Article

AN - SCOPUS:33745086870

VL - 39

SP - 7789

EP - 7799

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 25

M1 - S01

ER -

ID: 36312745