Lagrangian Coherent Sets as transport barriers in convection
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In: Bulletin of the American Physical Society, Vol. 65, No. 13, F16.00009, 2020.
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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
VL - 65
JO - Bulletin of the American Physical Society
JF - Bulletin of the American Physical Society
SN - 0003-0503
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 -