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Scaling exponents in anisotropic hydrodynamic turbulence | | Victor S L’vov
; Itamar Procaccia
; Vasil Tiberkevich
; | | Date: |
31 Jan 2003 | | Journal: | Phys Rev E, 67 (2 Pt 2), 026312 | | Abstract: | In anisotropic turbulence, the correlation functions are decomposed in the irreducible representations of the SO(3) symmetry group (with different "angular momenta" l). For different values of l, the second-order correlation function is characterized by different scaling exponents zeta(2)(l). In this paper, we compute these scaling exponents in a closure approximation. By linearizing the closure equations in small anisotropy we set up a linear operator and find its zero modes in the inertial interval of scales. Thus the scaling exponents in each l sector follow from solvability condition, and are not determined by dimensional analysis. The main result of our calculation is that the scaling exponents zeta(2)(l) form a strictly increasing spectrum at least until l=6, guaranteeing that the effects of anisotropy decay as power laws when the scale of observation diminishes. The results of our calculations are compared to available experiments and simulations. | | Source: | PubMed, pmid12636805 | | Other source: | [GID 561045] nlin.CD/0207011 | | Services: | Forum | Review | Favorites | |
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