Extreme-value statistics from Lagrangian convex hull analysis for homogeneous turbulent Boussinesq convection and MHD convection
arXiv:1605.05983 · doi:10.1088/1367-2630/aa6fe8
Abstract
We investigate the utility of the convex hull of many Lagrangian tracers to analyze transport properties of turbulent flows with different anisotropy. In direct numerical simulations of statistically homogeneous and stationary Navier-Stokes turbulence, neutral fluid Boussinesq convection, and MHD Boussinesq convection a comparison with Lagrangian pair dispersion shows that convex hull statistics capture the asymptotic dispersive behavior of a large group of passive tracer particles. Moreover, convex hull analysis provides additional information on the sub-ensemble of tracers that on average disperse most efficiently in the form of extreme value statistics and flow anisotropy via the geometric properties of the convex hulls. We use the convex hull surface geometry to examine the anisotropy that occurs in turbulent convection. Applying extreme value theory, we show that the maximal square extensions of convex hull vertices are well described by a classic extreme value distribution, the Gumbel distribution. During turbulent convection, intermittent convective plumes grow and accelerate the dispersion of Lagrangian tracers. Convex hull analysis yields information that supplements standard Lagrangian analysis of coherent turbulent structures and their influence on the global statistics of the flow.
arXiv comment18 pages, 10 figures, preprint
References in corpus (30)
- Particles and fields in fluid turbulence
- Spectrum of magnetohydrodynamic turbulence
- The Anisotropy of MHD Alfvénic Turbulence
- Universal Fluctuations in Correlated Systems
- Random Convex Hulls and Extreme Value Statistics
- Strong Anisotropic MHD Turbulence with Cross Helicity
- Lagrangian statistics of particle pairs in homogeneous isotropic turbulence
- Evolving structures of star-forming clusters
- Convex Hull of N Planar Brownian Motions: Exact Results and an Application to Ecology
- Rayleigh and Prandtl number scaling in the bulk of Rayleigh-Benard turbulence
- Spatial extent of an outbreak in animal epidemics
- Anisotropy of third-order structure functions in MHD turbulence
- Convective envelopes in rotating OB stars
- Turbulent pair dispersion as a ballistic cascade phenomenology
- Lagrangian studies in convective turbulence
- Timescales of Turbulent Relative Dispersion
- Lagrangian dispersion and heat transport in convective turbulence
- Universality of the Small-Scale Dynamo Mechanism
- Universal fluctuations and extreme value statistics
- Lagrangian Statistics of Navier-Stokes- and MHD-Turbulence
- Scaling and anisotropy of magnetohydrodynamic turbulence in a strong mean magnetic field
- Turbulent pair dispersion as a continuous-time random walk
- Primordial Non-Gaussianity and Extreme-Value Statistics of Galaxy Clusters
- Galaxy distribution and extreme value statistics
- An application of extreme value statistics to the most massive galaxy clusters at low and high redshifts
- Self-consistent theory of turbulent transport in the solar tachocline. II. Tachocline confinement
- Fluctuation dynamo amplified by intermittent shear bursts in convectively driven magnetohydrodynamic turbulence
- Convex hull of a Brownian motion in confinement
- On the evolution of particle-puffs in turbulence
- Structures and Lagrangian statistics of the Taylor-Green Dynamo
Cited by in corpus (3)
- A model of rotating convection in stellar and planetary interiors: I - convective penetration
- A model of rotating convection in stellar and planetary interiors: II -- gravito-inertial wave generation
- Reynolds number dependence of Lagrangian dispersion in direct numerical simulations of anisotropic magnetohydrodynamic turbulence