Influence of helicity on scaling regimes in the extended Kraichnan model

Abstract

We have investigated the advection of a passive scalar quantity by incompressible helical turbulent flow in the frame of extended Kraichnan model. Turbulent fluctuations of velocity field are assumed to have the Gaussian statistics with zero mean and defined noise with finite time-correlation. Actual calculations have been done up to two-loop approximation in the frame of field-theoretic renormalization group approach. It turned out that space parity violation (helicity) of turbulent environment does not affect anomalous scaling which is peculiar attribute of corresponding model without helicity. However, stability of asymptotic regimes, where anomalous scaling takes place, strongly depends on the amount of helicity. Moreover, helicity gives rise to the turbulent diffusivity, which has been calculated in one-loop approximation.

16 pages, talk given by M. Hnatich at "Renormalization Group 2005", Helsinki, Finland 30 August - 3 September 2005. To apear in J. Phys. A: Math. Gen

References in corpus (17)

• Particles and fields in fluid turbulence
• ANOMALOUS SCALING OF THE PASSIVE SCALAR
• The Joint Cascade of Energy and Helicity in Three-Dimensional Turbulence
• Renormalization Group, Operator Product Expansion, and Anomalous Scaling in a Model of Advected Passive Scalar
• Influence of compressibility on scaling regimes of strongly anisotropic fully developed turbulence
• Anomalous scaling regimes of a passive scalar advected by the synthetic velocity field
• Symmetry and Scaling of Turbulent Mixing
• Persistence of small-scale anisotropies and anomalous scaling in a model of magnetohydrodynamics turbulence
• Anomalous scaling of a passive scalar advected by the synthetic compressible flow
• Turbulence with Pressure: Anomalous Scaling of a Passive Vector Field
• Calculation of the anomalous exponents in the rapid-change model of passive scalar advection to order ${\epsilon }^3$
• Anomalous exponents in the rapid-change model of the passive scalar advection in the order ${\epsilon }^3$
• Anomalous scaling of a passive scalar advected by the turbulent velocity field with finite correlation time: Two-loop approximation
• Intermittency and Anomalous Scaling of Passive Scalars in Any Space Dimension
• Pressure and intermittency in passive vector turbulence
• Anomalous scaling of a passive scalar in the presence of strong anisotropy
• The Effect of Helicity on the Effective Diffusivity for Incompressible Random Flows

Cited by in corpus (2)

• Anomalous scaling of a passive scalar advected by the turbulent velocity field with finite correlation time and uniaxial small-scale anisotropy
• Renormalization of viscosity in wavelet-based model of turbulence