Extreme-value statistics from Lagrangian convex hull analysis for homogeneous turbulent Boussinesq convection and MHD convection
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 Bo...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2017-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/aa6fe8 |
| _version_ | 1797750612145733632 |
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| author | J Pratt A Busse W-C Müller N W Watkins S C Chapman |
| author_facet | J Pratt A Busse W-C Müller N W Watkins S C Chapman |
| author_sort | J Pratt |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T16:35:21Z |
| format | Article |
| id | doaj.art-3fac064c9aec4ad180d33b679b377522 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:35:21Z |
| publishDate | 2017-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-3fac064c9aec4ad180d33b679b3775222023-08-08T14:53:32ZengIOP PublishingNew Journal of Physics1367-26302017-01-0119606500610.1088/1367-2630/aa6fe8Extreme-value statistics from Lagrangian convex hull analysis for homogeneous turbulent Boussinesq convection and MHD convectionJ Pratt0https://orcid.org/0000-0003-2707-3616A Busse1W-C Müller2N W Watkins3https://orcid.org/0000-0003-4484-6588S C Chapman4Astrophysics Group, University of Exeter , Exeter EX4 4QL, United KingdomSchool of Engineering, University of Glasgow , Glasgow G12 8QQ, United KingdomCenter for Astronomy and Astrophysics , ER 3-2, TU Berlin, Hardenbergstr. 36, D-10623 Berlin, GermanyCentre for Fusion, Space and Astrophysics, Physics Department, University of Warwick , Coventry CV4 7AL, United Kingdom; Institut für Physik und Astronomie, Universität Potsdam , Campus Golm, Haus 28, Karl-Liebknecht-Strasse 24/25, D-14476 Potsdam-Golm, Germany; Centre for the Analysis of Time Series, London School of Economics and Political Science , London, United Kingdom; Faculty of Science, Technology, Engineering and Mathematics, Open University , Milton Keynes, United KingdomCentre for Fusion, Space and Astrophysics, Physics Department, University of Warwick , Coventry CV4 7AL, United Kingdom; Max-Planck-Institut für Physik komplexer Systeme , D-01187 Dresden, Germany; Department of Mathematics and Statistics, University of Tromso , NorwayWe 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.https://doi.org/10.1088/1367-2630/aa6fe8turbulencemagnetohydrodynamicsLagrangian statisticsmagnetoconvectionturbulent transport47.27.tb |
| spellingShingle | J Pratt A Busse W-C Müller N W Watkins S C Chapman Extreme-value statistics from Lagrangian convex hull analysis for homogeneous turbulent Boussinesq convection and MHD convection New Journal of Physics turbulence magnetohydrodynamics Lagrangian statistics magnetoconvection turbulent transport 47.27.tb |
| title | Extreme-value statistics from Lagrangian convex hull analysis for homogeneous turbulent Boussinesq convection and MHD convection |
| title_full | Extreme-value statistics from Lagrangian convex hull analysis for homogeneous turbulent Boussinesq convection and MHD convection |
| title_fullStr | Extreme-value statistics from Lagrangian convex hull analysis for homogeneous turbulent Boussinesq convection and MHD convection |
| title_full_unstemmed | Extreme-value statistics from Lagrangian convex hull analysis for homogeneous turbulent Boussinesq convection and MHD convection |
| title_short | Extreme-value statistics from Lagrangian convex hull analysis for homogeneous turbulent Boussinesq convection and MHD convection |
| title_sort | extreme value statistics from lagrangian convex hull analysis for homogeneous turbulent boussinesq convection and mhd convection |
| topic | turbulence magnetohydrodynamics Lagrangian statistics magnetoconvection turbulent transport 47.27.tb |
| url | https://doi.org/10.1088/1367-2630/aa6fe8 |
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