Lagrangian perspectives on turbulent superstructures in Rayleigh-Bénard convection

Anna Klünker; Christiane Schneide; Ambrish Pandey; Kathrin Padberg-Gehle; Jörg Schumacher

doi:10.1002/pamm.201900201

Lagrangian perspectives on turbulent superstructures in Rayleigh-Bénard convection

Anna Klünker
, Christiane Schneide
, Ambrish Pandey
, Kathrin Padberg-Gehle
, Jörg Schumacher

Professorship of Applied Mathematics

Technische Universität Ilmenau

Research output: Journal contributions › Conference abstract in journal › Research › peer-review

Abstract

We analyze large‐scale patterns in three‐dimensional turbulent convection in a horizontally extended square convection cell by means of Lagrangian particle trajectories calculated in direct numerical simulations. Different Lagrangian computational methods, i.e. finite‐time Lyapunov exponents, spectral and density‐based clustering and transfer operator approaches, are used to detect these large‐scale structures, which are denoted as turbulent superstructures of convection.

Original language	English
Article number	201900201
Journal	Proceedings in applied mathematics and mechanics
Volume	19
Issue number	1
Number of pages	2
ISSN	1617-7061
DOIs	https://doi.org/10.1002/pamm.201900201
Publication status	Published - 01.11.2019
Event	90th Annual Meeting of the International Association of Applied Mathematics and Mechanics - 2019 - Universität Wien, Vienna, Austria Duration: 18.02.2019 → 22.02.2019 Conference number: 90 https://jahrestagung.gamm-ev.de/index.php/2019/2019-annual-meeting

Research areas and keywords

Mathematics

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10.1002/pamm.201900201Licence: CC BY

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Trajectory-based Lagrangian approaches for the extraction and characterization of coherent structures in turbulent convection
Padberg-Gehle, K. (Project manager, academic) & Schneide, C. (Project staff)
German Research Foundation
01.09.16 → 31.12.19
Project: Research

Cite this

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title = "Lagrangian perspectives on turbulent superstructures in Rayleigh-B{\'e}nard convection",

abstract = "We analyze large‐scale patterns in three‐dimensional turbulent convection in a horizontally extended square convection cell by means of Lagrangian particle trajectories calculated in direct numerical simulations. Different Lagrangian computational methods, i.e. finite‐time Lyapunov exponents, spectral and density‐based clustering and transfer operator approaches, are used to detect these large‐scale structures, which are denoted as turbulent superstructures of convection.",

keywords = "Mathematics",

author = "Anna Kl{\"u}nker and Christiane Schneide and Ambrish Pandey and Kathrin Padberg-Gehle and J{\"o}rg Schumacher",

year = "2019",

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doi = "10.1002/pamm.201900201",

language = "English",

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journal = "Proceedings in applied mathematics and mechanics",

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note = "90th Annual Meeting of the International Association of Applied Mathematics and Mechanics - 2019, 19th GAMM 2019 ; Conference date: 18-02-2019 Through 22-02-2019",

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T1 - Lagrangian perspectives on turbulent superstructures in Rayleigh-Bénard convection

AU - Klünker, Anna

AU - Schneide, Christiane

AU - Pandey, Ambrish

AU - Padberg-Gehle, Kathrin

AU - Schumacher, Jörg

N1 - Conference code: 90

PY - 2019/11/1

Y1 - 2019/11/1

N2 - We analyze large‐scale patterns in three‐dimensional turbulent convection in a horizontally extended square convection cell by means of Lagrangian particle trajectories calculated in direct numerical simulations. Different Lagrangian computational methods, i.e. finite‐time Lyapunov exponents, spectral and density‐based clustering and transfer operator approaches, are used to detect these large‐scale structures, which are denoted as turbulent superstructures of convection.

AB - We analyze large‐scale patterns in three‐dimensional turbulent convection in a horizontally extended square convection cell by means of Lagrangian particle trajectories calculated in direct numerical simulations. Different Lagrangian computational methods, i.e. finite‐time Lyapunov exponents, spectral and density‐based clustering and transfer operator approaches, are used to detect these large‐scale structures, which are denoted as turbulent superstructures of convection.

KW - Mathematics

UR - https://www.mendeley.com/catalogue/a71b07f2-a1d8-31d0-9241-259a69b0a922/

U2 - 10.1002/pamm.201900201

DO - 10.1002/pamm.201900201

M3 - Conference abstract in journal

SN - 1617-7061

VL - 19

JO - Proceedings in applied mathematics and mechanics

JF - Proceedings in applied mathematics and mechanics

IS - 1

M1 - 201900201

T2 - 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics - 2019

Y2 - 18 February 2019 through 22 February 2019

ER -

Lagrangian perspectives on turbulent superstructures in Rayleigh-Bénard convection

Abstract

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Trajectory-based Lagrangian approaches for the extraction and characterization of coherent structures in turbulent convection

Cite this