- Letter
Lack of self-similarity in transverse velocity increments and circulation statistics in two-dimensional turbulence
Phys. Rev. Fluids 10, L012601 – Published 16 January, 2025
DOI: https://doi.org/10.1103/PhysRevFluids.10.L012601
Abstract
We study the statistics of longitudinal and transverse structure functions, as well as velocity circulation, in the inverse energy cascade of two-dimensional turbulence. Using direct numerical simulations of the incompressible Navier–Stokes equations, we show that transverse structure functions exhibit an anomalous scaling, in contrast to the self-similar behavior of longitudinal ones. We derive an analytical relation that shows that the scaling exponents of transverse structure functions and velocity circulation are related in two-dimensional turbulence.
