Lagrangian analysis of long-term dynamics of turbulent superstructures

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Lagrangian analysis of long-term dynamics of turbulent superstructures. / Schneide, Christiane; Padberg-Gehle, Kathrin; Schumacher, Jörg.
In: Proceedings in applied mathematics and mechanics, Vol. 20, No. 1, e202000197, 01.01.2021.

Research output: Journal contributionsConference article in journalResearchpeer-review

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@article{60730cc49fe24f8087004f97270534e0,
title = "Lagrangian analysis of long-term dynamics of turbulent superstructures",
abstract = "In Rayleigh‐B{\'e}nard convection, turbulent superstructures are large‐scale patterns of circulation rolls created by hot ascending and cold descending thermal plumes. The evolution of these large‐scale patterns happens on very large time scales τ. Spectral clustering applied to Lagrangian particle trajectories on time intervals smaller than τ can be used to create clusters displaying a structure similar to the patterns detected in the Eulerian frame of reference. However, this technique is unfeasible for the analysis of the evolution of turbulent superstructures due to turbulent dispersion. Therefore, we test the application of concepts of evolutionary spectral clustering on Lagrangian particle trajectories to analyze the long‐term dynamics of turbulent superstructures in the Lagrangian frame of reference.",
keywords = "Mathematics, Dynamical systems",
author = "Christiane Schneide and Kathrin Padberg-Gehle and J{\"o}rg Schumacher",
note = "Special Issue: 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM); 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics - GAMM 2020 ; Conference date: 16-03-2020 Through 20-03-2020",
year = "2021",
month = jan,
day = "1",
doi = "10.1002/pamm.202000197",
language = "English",
volume = "20",
journal = "Proceedings in applied mathematics and mechanics",
issn = "1617-7061",
publisher = "Wiley-VCH Verlag",
number = "1",
url = "https://jahrestagung.gamm-ev.de/index.php/2020/2020-annual-meeting",

}

RIS

TY - JOUR

T1 - Lagrangian analysis of long-term dynamics of turbulent superstructures

AU - Schneide, Christiane

AU - Padberg-Gehle, Kathrin

AU - Schumacher, Jörg

N1 - Conference code: 91

PY - 2021/1/1

Y1 - 2021/1/1

N2 - In Rayleigh‐Bénard convection, turbulent superstructures are large‐scale patterns of circulation rolls created by hot ascending and cold descending thermal plumes. The evolution of these large‐scale patterns happens on very large time scales τ. Spectral clustering applied to Lagrangian particle trajectories on time intervals smaller than τ can be used to create clusters displaying a structure similar to the patterns detected in the Eulerian frame of reference. However, this technique is unfeasible for the analysis of the evolution of turbulent superstructures due to turbulent dispersion. Therefore, we test the application of concepts of evolutionary spectral clustering on Lagrangian particle trajectories to analyze the long‐term dynamics of turbulent superstructures in the Lagrangian frame of reference.

AB - In Rayleigh‐Bénard convection, turbulent superstructures are large‐scale patterns of circulation rolls created by hot ascending and cold descending thermal plumes. The evolution of these large‐scale patterns happens on very large time scales τ. Spectral clustering applied to Lagrangian particle trajectories on time intervals smaller than τ can be used to create clusters displaying a structure similar to the patterns detected in the Eulerian frame of reference. However, this technique is unfeasible for the analysis of the evolution of turbulent superstructures due to turbulent dispersion. Therefore, we test the application of concepts of evolutionary spectral clustering on Lagrangian particle trajectories to analyze the long‐term dynamics of turbulent superstructures in the Lagrangian frame of reference.

KW - Mathematics

KW - Dynamical systems

UR - https://www.mendeley.com/catalogue/0ff50bb0-0200-3ba1-b2c3-f3707c5bf908/

U2 - 10.1002/pamm.202000197

DO - 10.1002/pamm.202000197

M3 - Conference article in journal

VL - 20

JO - Proceedings in applied mathematics and mechanics

JF - Proceedings in applied mathematics and mechanics

SN - 1617-7061

IS - 1

M1 - e202000197

T2 - 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics - GAMM 2020

Y2 - 16 March 2020 through 20 March 2020

ER -

DOI