Anomalous scaling of a passive scalar advected by the synthetic compressible flow

Details Anomalous scaling of a passive scalar advected by the synthetic compressible flow Anomalous scaling of a passive scalar advected by the synthetic compressible flow

1999-07-13

arxiv.org/abs/chao-dyn/9907018v1

Physica D144 (2000) 370

Physics

Condensed Matter

25 pages; REVTeX file with LATeX figures inside

Scientific paper

10.1016/S0167-2789(00)00089-0

The field theoretic renormalization group and operator product expansion are applied to the problem of a passive scalar advected by the Gaussian nonsolenoidal velocity field with finite correlation time, in the presence of large-scale anisotropy. The energy spectrum of the velocity in the inertial range has the form $E(k)\propto k^{1-\epsilon}$, and the correlation time at the wavenumber $k$ scales as $k^{-2+\eta}$. It is shown that, depending on the values of the exponents $\epsilon$ and $\eta$, the model exhibits various types of inertial-range scaling regimes with nontrivial anomalous exponents. Explicit asymptotic expressions for the structure functions and other correlation functions are obtained; they are represented by superpositions of power laws with nonuniversal amplitudes and universal (independent of the anisotropy) anomalous exponents, calculated to the first order in $\epsilon$ and $\eta$ in any space dimension. These anomalous exponents are determined by the critical dimensions of tensor composite operators built of the scalar gradients, and exhibit a kind of hierarchy related to the degree of anisotropy: the less is the rank, the less is the dimension and, consequently, the more important is the contribution to the inertial-range behavior. The leading terms of the even (odd) structure functions are given by the scalar (vector) operators. The anomalous exponents depend explicitly on the degree of compressibility.

Affiliated with

Also associated with

No associations

Rating

Anomalous scaling of a passive scalar advected by the synthetic compressible flow does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Anomalous scaling of a passive scalar advected by the synthetic compressible flow, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anomalous scaling of a passive scalar advected by the synthetic compressible flow will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-445986