Lyapunov exponents of heavy particles in turbulence
arXiv:nlin/0606024 · doi:10.1063/1.2349587
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 counter-intuitive 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.
arXiv comment4 pages, 4 figures
References in corpus (5)
Cited by in corpus (55)
- Statistical models for spatial patterns of heavy particles in turbulence
- The effect of Reynolds number on inertial particle dynamics in isotropic turbulence. Part I: Simulations without gravitational effects
- On bubble clustering and energy spectra in pseudo-turbulence
- Finite-size effects in the dynamics of neutrally buoyant particles in turbulent flow
- Dimensionality and morphology of particle and bubble clusters in turbulent flow
- Alignment of vorticity and rods with Lagrangian fluid stretching in turbulence
- Clustering of particles falling in a turbulent flow
- Relative Velocity of Inertial Particles in Turbulent Flows
- Statistical models for the dynamics of heavy particles in turbulence
- Chaotic properties of a turbulent isotropic fluid
- Extreme events in the dispersions of two neighboring particles under the influence of fluid turbulence
- Deformation statistics of sub-Kolmogorov-scale ellipsoidal neutrally buoyant drops in isotropic turbulence
- Unmixing in Random Flows
- Stochastic suspensions of heavy particles
- Lagrangian coherent structures and inertial particle dynamics
- Description of clustering of inertial particles in turbulent flows via finite-time Lyapunov exponents
- Stokes trapping and planet formation
- Correlation Dimension of Inertial Particles in Random Flows
- Statistics of polymer extensions in turbulent channel flow
- On the Peterlin approximation for turbulent flows of polymer solutions
- Particle separation by Stokes number for small neutrally buoyant spheres in a fluid
- Intermittency in the relative separations of tracers and of heavy particles in turbulent flows
- Multiple collisions in turbulent flows
- Large deviations in chaotic systems: exact results and dynamical phase transition
- Local analysis of the clustering, velocities and accelerations of particles settling in turbulence
- Inhomogeneous distribution of droplets in cloud turbulence
- The statistical geometry of material loops in turbulence
- Polymer scission in turbulent flows
- Inertial particles driven by a telegraph noise
- Control of particle clustering in turbulence by polymer additives
- Relative velocities in bidisperse turbulent suspensions
- On the evolution of particle-puffs in turbulence
- Droplets in isotropic turbulence: deformation and breakup statistics
- Lagrangian Manifestation of Anomalies in Active Turbulence
- Lyapunov spectrum of separated flows and its dependence on numerical discretization
- Analysis of the Correlation Dimension for Inertial Particles
- A modal analysis of the behavior of inertial particles in turbulence
- Paths to caustic formation in turbulent aerosols
- Scale Dependence of Multiplier Distributions for Particle Concentration, Enstrophy and Dissipation in the Inertial Range of Homogeneous Turbulence
- Fractal catastrophes
- Restricted Euler dynamics along trajectories of small inertial particles in turbulence
- Reynolds number dependence of Lyapunov exponents of turbulence and fluid particles
- Fluctuation relation and pairing rule for Lyapunov exponents of inertial particles in turbulence
- Caustic formation in a non-Gaussian model for turbulent aerosols
- Stretching in a model of a turbulent flow
- Connecting finite-time Lyapunov exponents with supersaturation and droplet dynamics in the bulk of a turbulent cloud
- Lyapunov exponents and Lagrangian chaos suppression in compressible homogeneous isotropic turbulence
- Data-driven Mori-Zwanzig modeling of Lagrangian particle dynamics in turbulent flows
- Lyapunov exponent for small particles in smooth one-dimensional flows
- Polymer stretching in laminar and random flows: entropic characterization
- Remarkable similarities in distributions of dynamical observables in chaotic systems
- Uncertainty Growth in Stably Stratified Turbulence
- Turbulent stretching of dumbbells with hydrodynamic interactions: an analytical study
- Bioluminescence in turbulence: intermittent straining lights up dinoflagellates
- Fluctuations of separation of trajectories in chaos and correlation dimension