Multi-particle dispersion in fully developed turbulence

Details Multi-particle dispersion in fully developed turbulence Multi-particle dispersion in fully developed turbulence

2005-03-31

arxiv.org/abs/nlin/0503070v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 figures

Scientific paper

10.1063/1.2130751

The statistical geometry of dispersing Lagrangian clusters of four particles (tetrahedra) is studied by means of high-resolution direct numerical simulations of three-dimensional homogeneous isotropic turbulence. We give the first evidence of a self-similar regime of shape dynamics characterized by almost two-dimensional, strongly elongated geometries. The analysis of four-point velocity-difference statistics and orientation shows that inertial-range eddies typically generate a straining field with a strong extensional component aligned with the elongation direction and weak extensional/compressional components in the orthogonal plane.

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