%0 Generic %1 citeulike:12407125 %A Dallas, Vassilios %A Alexakis, Alexandros %D 2013 %K imported %T The origins of \$k^-2\$ spectrum in the decaying Taylor-Green magnetohydrodynamic turbulent flows %U http://arxiv.org/abs/1306.1380 %X We investigate the origins of \$k^-2\$ spectrum in a decaying Taylor-Green magnetohydrodynamic flow with zero large scale magnetic flux that was reported in Lee et al. (2010). A possible candidate for this scaling exponent has been the weak turbulence phenomenology. From our numerical simulations, we observe that current sheets in the magnetic Taylor-Green flow are formed in regions of magnetic discontinuities. Based on this observation and by studying the influence of the current sheets on the energy spectrum, using a filtering technique, we argue that the discontinuities are responsible for the \$-2\$ power law scaling of the energy spectra of this flow.

@misc{citeulike:12407125, abstract = {We investigate the origins of \$k^{-2}\$ spectrum in a decaying Taylor-Green magnetohydrodynamic flow with zero large scale magnetic flux that was reported in Lee et al. (2010). A possible candidate for this scaling exponent has been the weak turbulence phenomenology. From our numerical simulations, we observe that current sheets in the magnetic Taylor-Green flow are formed in regions of magnetic discontinuities. Based on this observation and by studying the influence of the current sheets on the energy spectrum, using a filtering technique, we argue that the discontinuities are responsible for the \$-2\$ power law scaling of the energy spectra of this flow.}, added-at = {2019-03-25T08:20:55.000+0100}, archiveprefix = {arXiv}, author = {Dallas, Vassilios and Alexakis, Alexandros}, biburl = {https://www.bibsonomy.org/bibtex/29e021c00879d2a4f2bac97f08a7522e2/ericblackman}, citeulike-article-id = {12407125}, citeulike-linkout-0 = {http://arxiv.org/abs/1306.1380}, citeulike-linkout-1 = {http://arxiv.org/pdf/1306.1380}, day = 6, eprint = {1306.1380}, interhash = {911b8c5f71abff135af1458987dd4786}, intrahash = {9e021c00879d2a4f2bac97f08a7522e2}, keywords = {imported}, month = jun, posted-at = {2013-06-11 04:17:39}, priority = {2}, timestamp = {2019-03-25T08:20:55.000+0100}, title = {The origins of \$k^{-2}\$ spectrum in the decaying Taylor-Green magnetohydrodynamic turbulent flows}, url = {http://arxiv.org/abs/1306.1380}, year = 2013 }