Lagrangian Coherent Sets as transport barriers in convection

Jörg Schumacher; Philipp P. Vieweg; Christiane Schneide; Kathrin Padberg-Gehle

Lagrangian Coherent Sets as transport barriers in convection

Jörg Schumacher
, Philipp P. Vieweg
, Christiane Schneide
, Kathrin Padberg-Gehle

Professorship of Applied Mathematics

Technische Universität Ilmenau

Research output: Journal contributions › Conference abstract in journal › Research

Abstract

Lagrangian Coherent Sets as transport barriers in convection1JOERG SCHUMACHER, PHILIPP VIEWEG, TU Ilmenau, CHRISTIANESCHNEIDE, KATHRIN PADBERG-GEHLE, Leuphana University Lueneburg —
The analysis of the turbulent heat transfer in thermal convection flow is mostlydone in the Eulerian frame of reference. Here, we use an ensemble of more thanhalf a million individual Lagrangian tracer trajectories, which are advected togetherwith the evolving turbulent flow, to identify subsets that contribute least to theheat transfer. These trajectories probe Lagrangian Coherent Sets sets that remainspatially connected for a finite time and evolve in time. The analysis is based onthree-dimensional direct numerical simulations at three different Prandtl numbers.Our Lagrangian analysis results provide a complementary view on the transport andare found to be consistent with the standard Eulerian results.

1 The work is supported by the Priority Programme DFG-SPP 1881 of the DeutscheForschungsgemeinschaft.

Original language	English
Article number	F16.00009
Journal	Bulletin of the American Physical Society
Volume	65
Issue number	13
Number of pages	1
ISSN	0003-0503
Publication status	Published - 2020
Event	73rd Annual Meeting of the APS Division of Fluid Dynamics - 2021 - Chicago, United States Duration: 22.11.2020 → 24.11.2020 Conference number: 73

Bibliographical note

Titel d. Ausgabe: 73rd Annual Meeting of the APS Division of Fluid Dynamics ; Virtual, CT (Chicago time)

Research areas and keywords

Mathematics

Access to Document

https://meetings.aps.org/Meeting/DFD20/Session/F16.9Licence: In Copyright

Lagrangian aspects of turbulent superstructures: numerical analysis of long-term dynamics and transport properties
Padberg-Gehle, K. (Project manager, academic) & Schneide, C. (Project staff)
German Research Foundation
09.12.19 → 30.06.23
Project: Research

Cite this

@article{fcfc882358984195b0f3e2f9e0ab9a07,

title = "Lagrangian Coherent Sets as transport barriers in convection",

abstract = "Lagrangian Coherent Sets as transport barriers in convection1JOERG SCHUMACHER, PHILIPP VIEWEG, TU Ilmenau, CHRISTIANESCHNEIDE, KATHRIN PADBERG-GEHLE, Leuphana University Lueneburg — The analysis of the turbulent heat transfer in thermal convection flow is mostlydone in the Eulerian frame of reference. Here, we use an ensemble of more thanhalf a million individual Lagrangian tracer trajectories, which are advected togetherwith the evolving turbulent flow, to identify subsets that contribute least to theheat transfer. These trajectories probe Lagrangian Coherent Sets sets that remainspatially connected for a finite time and evolve in time. The analysis is based onthree-dimensional direct numerical simulations at three different Prandtl numbers.Our Lagrangian analysis results provide a complementary view on the transport andare found to be consistent with the standard Eulerian results. 1 The work is supported by the Priority Programme DFG-SPP 1881 of the DeutscheForschungsgemeinschaft.",

keywords = "Mathematics",

author = "J{\"o}rg Schumacher and Vieweg, \{Philipp P.\} and Christiane Schneide and Kathrin Padberg-Gehle",

note = "Titel d. Ausgabe: 73rd Annual Meeting of the APS Division of Fluid Dynamics ; Virtual, CT (Chicago time); 73rd Annual Meeting of the APS Division of Fluid Dynamics - 2021 ; Conference date: 22-11-2020 Through 24-11-2020",

year = "2020",

language = "English",

volume = "65",

journal = "Bulletin of the American Physical Society",

issn = "0003-0503",

publisher = "American Physical Society",

number = "13",

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TY - JOUR

T1 - Lagrangian Coherent Sets as transport barriers in convection

AU - Schumacher, Jörg

AU - Vieweg, Philipp P.

AU - Schneide, Christiane

AU - Padberg-Gehle, Kathrin

N1 - Conference code: 73

PY - 2020

Y1 - 2020

N2 - Lagrangian Coherent Sets as transport barriers in convection1JOERG SCHUMACHER, PHILIPP VIEWEG, TU Ilmenau, CHRISTIANESCHNEIDE, KATHRIN PADBERG-GEHLE, Leuphana University Lueneburg — The analysis of the turbulent heat transfer in thermal convection flow is mostlydone in the Eulerian frame of reference. Here, we use an ensemble of more thanhalf a million individual Lagrangian tracer trajectories, which are advected togetherwith the evolving turbulent flow, to identify subsets that contribute least to theheat transfer. These trajectories probe Lagrangian Coherent Sets sets that remainspatially connected for a finite time and evolve in time. The analysis is based onthree-dimensional direct numerical simulations at three different Prandtl numbers.Our Lagrangian analysis results provide a complementary view on the transport andare found to be consistent with the standard Eulerian results. 1 The work is supported by the Priority Programme DFG-SPP 1881 of the DeutscheForschungsgemeinschaft.

AB - Lagrangian Coherent Sets as transport barriers in convection1JOERG SCHUMACHER, PHILIPP VIEWEG, TU Ilmenau, CHRISTIANESCHNEIDE, KATHRIN PADBERG-GEHLE, Leuphana University Lueneburg — The analysis of the turbulent heat transfer in thermal convection flow is mostlydone in the Eulerian frame of reference. Here, we use an ensemble of more thanhalf a million individual Lagrangian tracer trajectories, which are advected togetherwith the evolving turbulent flow, to identify subsets that contribute least to theheat transfer. These trajectories probe Lagrangian Coherent Sets sets that remainspatially connected for a finite time and evolve in time. The analysis is based onthree-dimensional direct numerical simulations at three different Prandtl numbers.Our Lagrangian analysis results provide a complementary view on the transport andare found to be consistent with the standard Eulerian results. 1 The work is supported by the Priority Programme DFG-SPP 1881 of the DeutscheForschungsgemeinschaft.

KW - Mathematics

UR - http://flux.aps.org/meetings/YR20/DFD20/all_DFD20.pdf

M3 - Conference abstract in journal

SN - 0003-0503

VL - 65

JO - Bulletin of the American Physical Society

JF - Bulletin of the American Physical Society

IS - 13

M1 - F16.00009

T2 - 73rd Annual Meeting of the APS Division of Fluid Dynamics - 2021

Y2 - 22 November 2020 through 24 November 2020

ER -

Lagrangian Coherent Sets as transport barriers in convection

Abstract

Bibliographical note

Research areas and keywords

Access to Document

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Projects

Lagrangian aspects of turbulent superstructures: numerical analysis of long-term dynamics and transport properties

Cite this