Open AccessNUMERICAL INVESTIGATION OF ANISOTROPICALLY DRIVEN DEVELOPED TURBULENCE
Author(s) -
Edik Hayryan,
E. Jurčišinová,
M. Jurčišin,
Milan Stehlík
Publication year - 2007
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/1392-6292.2007.12.325-342
Subject(s) - anisotropy , scaling , turbulence , renormalization group , dimension (graph theory) , nonlinear system , physics , renormalization , function (biology) , stability (learning theory) , statistical physics , mathematics , mathematical analysis , mathematical physics , mechanics , geometry , quantum mechanics , computer science , combinatorics , evolutionary biology , machine learning , biology
The fully developed turbulence with axial anisotropy for dimensions d > 2 is investigated by means of renormalization group approach. The corresponding system of strongly nonlinear renormalization group equations which contain angle integrals is solved numerically. Possible utilization of the parallel programming methods is discussed. As a result, the influence of anisotropy on the stability of the Kolmogorov scaling regime is analyzed. The borderline dimension between stable scaling regime and unstable one is calculated as a function of the anisotropy parameters. Obtained results are compared with results calculated in [7].