Some specific features of the ε expansion in the theory of turbulence and the possibility of its improvement
| Autor: | Juha Honkonen, L Sladkoff, T. L. Kim, Aleksandr Nikolaevich Vasil'ev, L. Ts. Adzhemyan, Mikhail V. Kompaniets |
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| Rok vydání: | 2006 |
| Předmět: |
Turbulence
Mathematical analysis Prandtl number General Physics and Astronomy Magnitude (mathematics) Statistical and Nonlinear Physics Renormalization group 01 natural sciences 010305 fluids & plasmas symbols.namesake Amplitude Correlation function 0103 physical sciences symbols Turbulent Prandtl number 010306 general physics Constant (mathematics) Mathematical Physics Mathematics |
| Zdroj: | Journal of Physics A: Mathematical and General. 39:7789-7799 |
| ISSN: | 1361-6447 0305-4470 |
| DOI: | 10.1088/0305-4470/39/25/s01 |
| Popis: | Specific problems arising in the use of the method of renormalization group and e 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 e 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 e 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 e expansion. |
| Databáze: | OpenAIRE |
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