Anderson, J. and Kim, E. (2008) Structure-based statistical theory of intermittency. Physics of Plasmas, 15 (11). Art. No. 114506. ISSN 1070-664X
general statistical theory of the intermittency in turbulence based on short-lived coherent structures (instantons) is presented. The probability density functions (PDFs) of the flux R are shown to have an exponential scaling P(R)∝exp(−cRs) in the tails, with the exponent s = (n+1)/m. Here, n and m are the order of the highest nonlinear interaction term and moments for which the PDFs are computed, respectively; c is constant depending on spatial profile of the coherent structure. The results can have important implications for understanding the universality often observed in simulations and experiments.
|Institution:||The University of Sheffield|
|Academic Units:||The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)|
|Depositing User:||Mrs Megan Hobbs|
|Date Deposited:||17 Mar 2010 13:09|
|Last Modified:||16 Nov 2015 11:48|
|Publisher:||American Institute of Physics|