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Extreme-value statistics from Lagrangian convex hull analysis for homogeneous turbulent Boussinesq convection and MHD convection
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Pratt, J., Busse, A., Müller, W-C., Watkins, Nicholas W. and Chapman, Sandra C. (2017) Extreme-value statistics from Lagrangian convex hull analysis for homogeneous turbulent Boussinesq convection and MHD convection. New Journal of Physics, 19 (6). 065006. doi:10.1088/1367-2630/aa6fe8 ISSN 1367-2630.
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Official URL: http://dx.doi.org/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.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||
| Library of Congress Subject Headings (LCSH): | Turbulence, Magnetohydrodynamics | ||||||
| Journal or Publication Title: | New Journal of Physics | ||||||
| Publisher: | IOP Publishing | ||||||
| ISSN: | 1367-2630 | ||||||
| Official Date: | 20 June 2017 | ||||||
| Dates: |
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| Volume: | 19 | ||||||
| Number: | 6 | ||||||
| Article Number: | 065006 | ||||||
| DOI: | 10.1088/1367-2630/aa6fe8 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||
| Date of first compliant deposit: | 19 October 2017 | ||||||
| Date of first compliant Open Access: | 20 October 2017 | ||||||
| Funder: | Seventh Framework Programme (European Commission) (FP7), Max-Planck-Gesellschaft zur Förderung der Wissenschaften [Max Planck Society for the Advancement of Science], Max-Planck-Institut für Plasmaphysik, Norges forskningsråd [Research Council of Norway] (NF). Large-scale Programme on Climate Research (KLIMAFORSK) , London Mathematical Laboratory, United States. Office of Naval Research | ||||||
| Grant number: | Grant agreement no. 320478 (FP7), Project MIFIF-A-AERO8047 (Max-Planck-Institut für Plasmaphysik), Project number 229754 (KLIMAFORSK), NICOP—N62909-15-1-N143 (United States. Office of Naval Research) |
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