Lagrangian coherent sets in turbulent Rayleigh-Bénard convection

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Standard

Lagrangian coherent sets in turbulent Rayleigh-Bénard convection. / Schneide, Christiane; Stahn, Martin; Pandey, Ambrish et al.

in: Physical Review E, Jahrgang 100, Nr. 5, 053103, 11.11.2019.

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Harvard

APA

Vancouver

Schneide C, Stahn M, Pandey A, Junge O, Koltai P, Padberg-Gehle K et al. Lagrangian coherent sets in turbulent Rayleigh-Bénard convection. Physical Review E. 2019 Nov 11;100(5):053103. doi: 10.1103/PhysRevE.100.053103

Bibtex

@article{4cc9835e64be4d76bccbbb9726613277,
title = "Lagrangian coherent sets in turbulent Rayleigh-B{\'e}nard convection",
abstract = "Coherent circulation rolls and their relevance for the turbulent heat transfer in a two-dimensional Rayleigh-B{\'e}nard convection model are analyzed. The flow is in a closed cell of aspect ratio four at a Rayleigh number Ra=106 and at a Prandtl number Pr=10. Three different Lagrangian analysis techniques based on graph Laplacians (distance spectral trajectory clustering, time-averaged diffusion maps, and finite-element based dynamic Laplacian discretization) are used to monitor the turbulent fields along trajectories of massless Lagrangian particles in the evolving turbulent convection flow. The three methods are compared to each other and the obtained coherent sets are related to results from an analysis in the Eulerian frame of reference. We show that the results of these methods agree with each other and that Lagrangian and Eulerian coherent sets form basically a disjoint union of the flow domain. Additionally, a windowed time averaging of variable interval length is performed to study the degree of coherence as a function of this additional coarse graining which removes small-scale fluctuations that cause trajectories to disperse quickly. Finally, the coherent set framework is extended to study heat transport.",
keywords = "Mathematics, Dynamical systems, Turbulence",
author = "Christiane Schneide and Martin Stahn and Ambrish Pandey and Oliver Junge and P{\'e}ter Koltai and Kathrin Padberg-Gehle and J{\"o}rg Schumacher",
year = "2019",
month = nov,
day = "11",
doi = "10.1103/PhysRevE.100.053103",
language = "English",
volume = "100",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "5",

}

RIS

TY - JOUR

T1 - Lagrangian coherent sets in turbulent Rayleigh-Bénard convection

AU - Schneide, Christiane

AU - Stahn, Martin

AU - Pandey, Ambrish

AU - Junge, Oliver

AU - Koltai, Péter

AU - Padberg-Gehle, Kathrin

AU - Schumacher, Jörg

PY - 2019/11/11

Y1 - 2019/11/11

N2 - Coherent circulation rolls and their relevance for the turbulent heat transfer in a two-dimensional Rayleigh-Bénard convection model are analyzed. The flow is in a closed cell of aspect ratio four at a Rayleigh number Ra=106 and at a Prandtl number Pr=10. Three different Lagrangian analysis techniques based on graph Laplacians (distance spectral trajectory clustering, time-averaged diffusion maps, and finite-element based dynamic Laplacian discretization) are used to monitor the turbulent fields along trajectories of massless Lagrangian particles in the evolving turbulent convection flow. The three methods are compared to each other and the obtained coherent sets are related to results from an analysis in the Eulerian frame of reference. We show that the results of these methods agree with each other and that Lagrangian and Eulerian coherent sets form basically a disjoint union of the flow domain. Additionally, a windowed time averaging of variable interval length is performed to study the degree of coherence as a function of this additional coarse graining which removes small-scale fluctuations that cause trajectories to disperse quickly. Finally, the coherent set framework is extended to study heat transport.

AB - Coherent circulation rolls and their relevance for the turbulent heat transfer in a two-dimensional Rayleigh-Bénard convection model are analyzed. The flow is in a closed cell of aspect ratio four at a Rayleigh number Ra=106 and at a Prandtl number Pr=10. Three different Lagrangian analysis techniques based on graph Laplacians (distance spectral trajectory clustering, time-averaged diffusion maps, and finite-element based dynamic Laplacian discretization) are used to monitor the turbulent fields along trajectories of massless Lagrangian particles in the evolving turbulent convection flow. The three methods are compared to each other and the obtained coherent sets are related to results from an analysis in the Eulerian frame of reference. We show that the results of these methods agree with each other and that Lagrangian and Eulerian coherent sets form basically a disjoint union of the flow domain. Additionally, a windowed time averaging of variable interval length is performed to study the degree of coherence as a function of this additional coarse graining which removes small-scale fluctuations that cause trajectories to disperse quickly. Finally, the coherent set framework is extended to study heat transport.

KW - Mathematics

KW - Dynamical systems

KW - Turbulence

UR - https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.053103

U2 - 10.1103/PhysRevE.100.053103

DO - 10.1103/PhysRevE.100.053103

M3 - Journal articles

C2 - 31869930

VL - 100

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 5

M1 - 053103

ER -

Links

DOI