Statistically preserved structures and anomalous scaling in turbulent active scalar advection
Department of Physics, The Chinese University of
Sha Tin, Hong Kong, PRC
2 Department of Chemical Physics, The Weizmann Institute of Science Rehovot 76100, Israel
Accepted: 13 August 2002
The anomalous scaling of correlation functions in the turbulent statistics of active scalars (like temperature in turbulent convection) is understood in terms of an auxiliary passive scalar which is advected by the same turbulent velocity field. The even-order correlation functions of the two fields are the same to leading order (up to a trivial multiplicative factor). The leading correlation functions are statistically preserved structures of the passive scalar decaying problem; thus the universality of the scaling exponents of the even-order correlations of the active scalar is demonstrated.
PACS: 47.27.-i – Turbulent flows, convection, and heat transfer
© EDP Sciences, 2002