caa a22 4500 463197399 CHVBK 20180406164926.0 cr unu---uuuuu 170326e20070501xx s 000 0 eng 10.1007/s10773-006-9269-y doi (NATIONALLICENCE)springer-10.1007/s10773-006-9269-y Energy Transfer in Spectra of the d-Dimensional Past Grid Turbulence [Elektronische Daten] [M. Hnatich, S. Sprinc, M. Stehlik, F. Tomasz] Free decay theory of the homogeneous and isotropic developed turbulence isconsidered in the d-dimensional case. The basic quantities under our consideration are the kinetic energy spectrum E(k,t) and energy transfer spectrum T(k,t) as functions of wave number k and decay time t. Starting point for studying E and T represents their adaptation from the stationary model which predicts the Kolmogorov spectrum which is multiplicatively dependent on an unknown scaling function F. In order to study the spectra of decaying turbulence both parameters l and εɛ are supposed to be dependent on t. Formerly derived basic integro-differential equation for F (by Adzhemyan, et al., 1998) has been here solved numerically in the dimension interval d∈(2, 3) for two cases of the Saffman invariant and the Loitsyansky integral fixing an arbitrary theor parameter α (α ⩵ 2 and 4, correspondingly). The energy transfer spectrum T(k) has been analyzed for several dimensions d≤3 showing the presence of integration regions in the wavenumber space where an inverse energy cascade can occur. Springer Science+Business Media, LLC, 2006 decay turbulence nationallicence spectral energy transfer nationallicence renormalization group nationallicence Hnatich M. Institute of Experimental Physics, SAS, Watsonova 47, 04001, Košice, Slovakia aut Sprinc S. Institute of Experimental Physics, SAS, Watsonova 47, 04001, Košice, Slovakia aut Stehlik M. Institute of Experimental Physics, SAS, Watsonova 47, 04001, Košice, Slovakia aut Tomasz F. Institute of Experimental Physics, SAS, Watsonova 47, 04001, Košice, Slovakia aut International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/5(2007-05-01), 1254-1276 0020-7748 46:5<1254 2007 46 10773 https://doi.org/10.1007/s10773-006-9269-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9269-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hnatich M. Institute of Experimental Physics, SAS, Watsonova 47, 04001, Košice, Slovakia aut NATIONALLICENCE 700 1- Sprinc S. Institute of Experimental Physics, SAS, Watsonova 47, 04001, Košice, Slovakia aut NATIONALLICENCE 700 1- Stehlik M. Institute of Experimental Physics, SAS, Watsonova 47, 04001, Košice, Slovakia aut NATIONALLICENCE 700 1- Tomasz F. Institute of Experimental Physics, SAS, Watsonova 47, 04001, Košice, Slovakia aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/5(2007-05-01), 1254-1276 0020-7748 46:5<1254 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer