Stirring turbulence with turbulence

Geophysical Turbulence Geophysical Turbulence

Scaling regimes of 2d turbulence with power law stirring: theories versus numerical experiments

We inquire the statistical properties of the pair formed by the Navier–Stokes equation for an incompressible velocity field and the advection-diffusion equation for a scalar field transported in the same flow in two dimensions (2d). The system is in a regime of fully developed turbulence stirred by forcing fields with Gaussian statistics, white-noise in time and self-similar in space. In this s...

[Turbulence!].

Conformal Turbulence with Boundary

Based upon the formalism of conformal field theory with a boundary, we give a description of the boundary effect on fully developed two dimensional turbulence. Exact one and two point velocity correlation functions and energy power spectrum confined in the upper half plane are obtained using the image method. This result enables us to address the infrared problem of the theory of conformal turb...

Turbulence With Pressure

We investigate the exact results of the Navier-Stokes equations using the methods developed by Polyakov. It is shown that when the velocity field and the density are not independent, the Burgers equation is obtained leading to exact N-point generating functions of velocity field. Our results show that, has to be generelized the operator product expansion, proposed by Polyakov both in the absenc...