Phys. Rev. E 63, 015302(R) (2000) [4 pages]Passive scalar turbulence in high dimensions
Exploiting a Lagrangian strategy we present a numerical study for both perturbative and nonperturbative regions of the Kraichnan advection model. The major result is the numerical assessment of the first-order 1/d expansion by Chertkov, Falkovich, Kolokolov, and Lebedev [Phys. Rev. E 52, 4924 (1995)] for the fourth-order scalar structure function in the limit of high dimension d’s. In addition to the perturbative results, the behavior of the anomaly for the sixth-order structure functions versus the velocity scaling exponent, ξ, is investigated and the resulting behavior is discussed. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.63.015302
DOI:
10.1103/PhysRevE.63.015302
PACS:
47.27.Te, 47.27.Ak
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.