Stochastic identities for random isotropic fields

Abstract

This letter presents new nontrivial stochastic identities for random isotropic second rank tensor fields. They can be considered as markers of statistical isotropy in turbulent flows of any nature. The case of axial symmetry is also considered. We confirm the validity of the identities using different direct numerical simulations of turbulent flows.

7 pages, 4 figures

References in corpus (7)

• Particles and fields in fluid turbulence
• A public turbulence database cluster and applications to study Lagrangian evolution of velocity increments in turbulence
• Equations relating structure functions of all orders
• Magnetohydrodynamic models of astrophysical jets
• Slipping flows and their breaking
• Lagrangian stochastic integrals of motion in isotropic random flows
• Material surfaces in stochastic flows: integrals of motion and intermittency