Universality in passively advected hydrodynamic fields: the case of a passive vector with pressure

Abstract

Universality of statistical properties of passive quantities advected by turbulent velocity fields at changing the passive forcing mechanism is discussed. In particular, we concentrate on the statistical properties of an hydrodynamic system with pressure. We present theoretical arguments and preliminary numerical results which show that the fluxes of passive vector field and of the velocity field have the same scaling behavior. By exploiting such a property, we propose a way to compute the anomalous exponents of three dimensional turbulent velocity fields. Our findings are in agreement within 5% with experimental values of the anomalous exponents.

15 pages, 6 figures

Cited by in corpus (5)

• Anisotropy in Turbulent Flows and in Turbulent Transport
• Turbulence with Pressure: Anomalous Scaling of a Passive Vector Field
• Anomalous scaling and anisotropy in models of passively advected vector fields
• On the Anomalous Scaling Exponents in Nonlinear Models of Turbulence
• Steady state existence of passive vector fields under the Kraichnan model