Shell Models in Turbulence: Intermittency and Lagrangian Paths
Mogens Høgh Jensen
Niels Bohr Institute, University of Copenhagen
Abstract:
We employ shell model to study fully developed turbulence at very high Reynolds numbers. Shell model are approximations to Navier-Stokes equations obtained from truncations in Fourier space. The temporal dynamics is strongly intermittent leading to corrections to Kolmogorov theory. We further follow Lagrangian paths of advected pair particles in a real-space representation of the shell model velocity field. We measure the forces acting on the advected particles and find that the strength of the force is independent of the distance between the particles.