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

Professur für Angewandte Mathematik

Technische Universität Ilmenau

Publikation: Beiträge in Zeitschriften › Konferenz-Abstracts in Fachzeitschriften › Forschung › Begutachtung

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.

Originalsprache	Englisch
Aufsatznummer	201900201
Zeitschrift	Proceedings in applied mathematics and mechanics
Jahrgang	19
Ausgabenummer	1
Seitenumfang	2
ISSN	1617-7061
DOIs	https://doi.org/10.1002/pamm.201900201
Publikationsstatus	Erschienen - 01.11.2019
Veranstaltung	90th Annual Meeting of the International Association of Applied Mathematics and Mechanics - 2019 - Universität Wien, Vienna, Österreich Dauer: 18.02.2019 → 22.02.2019 Konferenznummer: 90 https://jahrestagung.gamm-ev.de/index.php/2019/2019-annual-meeting

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Mathematik

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1 Abgeschlossen

Trajektorien-basierte Lagrangesche Ansätze zur Extraktion und Charakterisierung kohärenter Strukturen in turbulenter Konvektion
Padberg-Gehle, K. (Wissenschaftliche Projektleiter*in) & Schneide, C. (Projektmitarbeiter*in)
Deutsche Forschungsgemeinschaft
01.09.16 → 31.12.19
Projekt: Forschung

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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",

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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/

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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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Projekte

Trajektorien-basierte Lagrangesche Ansätze zur Extraktion und Charakterisierung kohärenter Strukturen in turbulenter Konvektion

Dieses zitieren