Numerical Investigation of Scaling Regimes in a Model of Anisotropically Advected Vector Field

2006/09/28 by E. Jurčišinová, E. Jurcisinova, Jurcisinova, E. +9
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Geophysics and Gravity Measurements #Particle Dynamics in Fluid Flows #nlin.CD

paper · pdf · doi:10.48550/arxiv.nlin/0609067

6 pages, 3 figures, talk given by M. Jurcisin at the conference "Mathematical Modeling and Computational Physics 2006", High Tatra Mountains, Slovakia, August 28 - September 1, 2006

arxiv created 2006/09/28 · openalex publication_date 2006/09/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Influence of strong uniaxial small-scale anisotropy on the stability of inertial-range scaling regimes in a model of a passive transverse vector field advected by an incompressible turbulent flow is investigated by means of the field theoretic renormalization group. Turbulent fluctuations of the velocity field are taken in the form of a Gaussian statistics with zero mean and defined noise with finite correlations in time. It is shown that stability of the inertial-range scaling regimes in the three-dimensional case is not destroyed by anisotropy but the corresponding stability of the two-dimensional system can be corrupted by the presence of anisotropy. A borderline dimension d_c below which the stability of the scaling regime is not present is calculated as a function of anisotropy parameters.

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