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Extreme-value statistics from Lagrangian convex hull analysis for homogeneous turbulent Boussinesq convection and MHD convection

Permanent link
https://hdl.handle.net/10037/13218
DOI
https://doi.org/10.1088/1367-2630/aa6fe8
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Date
2017-06-20
Type
Journal article
Tidsskriftartikkel
Peer reviewed

Author
Pratt, J; Busse, A; Muller, WC; Watkins, NW; Chapman, Sandra
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.
Description
Source at: http://doi.org/10.1088/1367-2630/aa6fe8
Publisher
IOP Publishing
Citation
Pratt, J., Busse, A., Muller, W. C., Watkins, N. W. & Chapman, S. (2017). Extreme-value statistics from Lagrangian convex hull analysis for homogeneous turbulent Boussinesq convection and MHD convection. New Journal of Physics, 19(6). http://doi.org/10.1088/1367-2630/aa6fe8
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