Lagrangian analysis of long-term dynamics of turbulent superstructures
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Lagrangian analysis of long-term dynamics of turbulent superstructures. / Schneide, Christiane; Padberg-Gehle, Kathrin; Schumacher, Jörg.
In: Proceedings in applied mathematics and mechanics, Vol. 20, No. 1, e202000197, 01.01.2021.Research output: Journal contributions › Conference article in journal › Research › peer-review
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TY - JOUR
T1 - Lagrangian analysis of long-term dynamics of turbulent superstructures
AU - Schneide, Christiane
AU - Padberg-Gehle, Kathrin
AU - Schumacher, Jörg
N1 - Conference code: 91
PY - 2021/1/1
Y1 - 2021/1/1
N2 - In Rayleigh‐Bénard convection, turbulent superstructures are large‐scale patterns of circulation rolls created by hot ascending and cold descending thermal plumes. The evolution of these large‐scale patterns happens on very large time scales τ. Spectral clustering applied to Lagrangian particle trajectories on time intervals smaller than τ can be used to create clusters displaying a structure similar to the patterns detected in the Eulerian frame of reference. However, this technique is unfeasible for the analysis of the evolution of turbulent superstructures due to turbulent dispersion. Therefore, we test the application of concepts of evolutionary spectral clustering on Lagrangian particle trajectories to analyze the long‐term dynamics of turbulent superstructures in the Lagrangian frame of reference.
AB - In Rayleigh‐Bénard convection, turbulent superstructures are large‐scale patterns of circulation rolls created by hot ascending and cold descending thermal plumes. The evolution of these large‐scale patterns happens on very large time scales τ. Spectral clustering applied to Lagrangian particle trajectories on time intervals smaller than τ can be used to create clusters displaying a structure similar to the patterns detected in the Eulerian frame of reference. However, this technique is unfeasible for the analysis of the evolution of turbulent superstructures due to turbulent dispersion. Therefore, we test the application of concepts of evolutionary spectral clustering on Lagrangian particle trajectories to analyze the long‐term dynamics of turbulent superstructures in the Lagrangian frame of reference.
KW - Mathematics
KW - Dynamical systems
UR - https://www.mendeley.com/catalogue/0ff50bb0-0200-3ba1-b2c3-f3707c5bf908/
U2 - 10.1002/pamm.202000197
DO - 10.1002/pamm.202000197
M3 - Conference article in journal
VL - 20
JO - Proceedings in applied mathematics and mechanics
JF - Proceedings in applied mathematics and mechanics
SN - 1617-7061
IS - 1
M1 - e202000197
T2 - 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics - GAMM 2020
Y2 - 16 March 2020 through 20 March 2020
ER -