Lyapunov exponents of heavy particles in turbulence

J. Bec; L. Biferale; G. Boffetta; M. Cencini; A. Lanotte; S. Musacchio; F. Toschi

doi:10.1063/1.2349587

Lyapunov exponents of heavy particles in turbulence

J. Bec, L. Biferale, G. Boffetta, M. Cencini, A. Lanotte, S. Musacchio, F. Toschi

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Abstract

Lyapunov exponents of heavy particles and tracers advected by homogeneous and isotropic turbulent flows are investigated by means of direct numerical simulations. For large values of the Stokes number, the main effect of inertia is to reduce the chaoticity with respect to fluid tracers. Conversely, for small inertia, a counterintuitive increase of the first Lyapunov exponent is observed. The flow intermittency is found to induce a Reynolds number dependency for the statistics of the finite-time Lyapunov exponents of tracers. Such intermittency effects are found to persist at increasing inertia.

Original language	English
Pages (from-to)	091702-1/4
Journal	Physics of Fluids
Volume	18
Issue number	9
DOIs	https://doi.org/10.1063/1.2349587
Publication status	Published - 2006

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abstract = "Lyapunov exponents of heavy particles and tracers advected by homogeneous and isotropic turbulent flows are investigated by means of direct numerical simulations. For large values of the Stokes number, the main effect of inertia is to reduce the chaoticity with respect to fluid tracers. Conversely, for small inertia, a counterintuitive increase of the first Lyapunov exponent is observed. The flow intermittency is found to induce a Reynolds number dependency for the statistics of the finite-time Lyapunov exponents of tracers. Such intermittency effects are found to persist at increasing inertia.",

author = "J. Bec and L. Biferale and G. Boffetta and M. Cencini and A. Lanotte and S. Musacchio and F. Toschi",

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AU - Bec, J.

AU - Biferale, L.

AU - Boffetta, G.

AU - Cencini, M.

AU - Lanotte, A.

AU - Musacchio, S.

AU - Toschi, F.

PY - 2006

Y1 - 2006

N2 - Lyapunov exponents of heavy particles and tracers advected by homogeneous and isotropic turbulent flows are investigated by means of direct numerical simulations. For large values of the Stokes number, the main effect of inertia is to reduce the chaoticity with respect to fluid tracers. Conversely, for small inertia, a counterintuitive increase of the first Lyapunov exponent is observed. The flow intermittency is found to induce a Reynolds number dependency for the statistics of the finite-time Lyapunov exponents of tracers. Such intermittency effects are found to persist at increasing inertia.

AB - Lyapunov exponents of heavy particles and tracers advected by homogeneous and isotropic turbulent flows are investigated by means of direct numerical simulations. For large values of the Stokes number, the main effect of inertia is to reduce the chaoticity with respect to fluid tracers. Conversely, for small inertia, a counterintuitive increase of the first Lyapunov exponent is observed. The flow intermittency is found to induce a Reynolds number dependency for the statistics of the finite-time Lyapunov exponents of tracers. Such intermittency effects are found to persist at increasing inertia.

U2 - 10.1063/1.2349587

DO - 10.1063/1.2349587

M3 - Article

SN - 1070-6631

VL - 18

SP - 091702-1/4

JO - Physics of Fluids

JF - Physics of Fluids

IS - 9

ER -

Lyapunov exponents of heavy particles in turbulence

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