Abstract
Understanding the dynamics of small particles advected by incompressible turbulent flows is an important problem with applications ranging from atmospheric physics[1] to industrial processes. The problem is often tackled by generating the turbulence using direct numerical simulations (DNS) of the Navier–Stokes equations[2]. Homogeneous isotropic turbulence consists of coherent vortex structures or filaments[3] superimposed to a more incoherent background. The coherent structures carry a considerable amount of the energy and the enstrophy and correspond to the observed Kolmogorov spectrum of the total (coherent plus incoherent) velocity field[4, 5]. We study the role of these structures on the particles’ trajectories by developing a model of turbulence based entirely on vortex filaments.
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