Lagrangian analysis of long-term dynamics of turbulent superstructures

Research output: Journal contributionsConference article in journalResearchpeer-review

Standard

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 contributionsConference article in journalResearchpeer-review

Harvard

APA

Vancouver

Bibtex

@article{60730cc49fe24f8087004f97270534e0,
title = "Lagrangian analysis of long-term dynamics of turbulent superstructures",
abstract = "In Rayleigh‐B{\'e}nard 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.",
keywords = "Mathematics, Dynamical systems",
author = "Christiane Schneide and Kathrin Padberg-Gehle and J{\"o}rg Schumacher",
note = "Special Issue: 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM); 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics - GAMM 2020 ; Conference date: 16-03-2020 Through 20-03-2020",
year = "2021",
month = jan,
day = "1",
doi = "10.1002/pamm.202000197",
language = "English",
volume = "20",
journal = "Proceedings in applied mathematics and mechanics",
issn = "1617-7061",
publisher = "Wiley-VCH Verlag",
number = "1",
url = "https://jahrestagung.gamm-ev.de/index.php/2020/2020-annual-meeting",

}

RIS

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 -

DOI

Recently viewed

Publications

  1. Structure and Organization of Product Development Projects
  2. Investigation of the Controllability of Inductive Power Transmission Systems based on Flexible Coils
  3. Melodías a través del océano
  4. A Robust Decoupling Estimator to Indentify Electrical Parameters for Three-Phase Permanent Magnet Synchronous Motors
  5. Design and control of an electromagnetic valve actuator
  6. Two-year stability and change of neuroticism and extraversion in treated and untreated persons with depression
  7. Towards a dimensional approach to common mental disorders in the ICD-11?
  8. Prekäre Existenz
  9. Dynamic Capabilities in Sustainable Supply Chain Management
  10. Force measuring module for use in e.g. crutch for measurement of active force at patient lower arm during use of walking support in rehabilitation phase after e.g. leg injury, has transmission device transmitting value to evaluation device
  11. Joint calibration of Machine Vision subsystems for robuster surrounding 3D perception
  12. The impact of digital innovation on path-dependent decision-making
  13. The impact of supervisory board composition on CSR reporting
  14. Life satisfaction in Germany after reunification: Additional insights on the pattern of convergence
  15. Same Play, Different Actors?
  16. Ice clamping system in manufacturing systems as a cyber-physical system towards Industry 4.0
  17. Temporal and spatial scaling impacts on extreme precipitation
  18. Time use and time budgets
  19. An indirectly controlled high-speed servo valve for IC engines using piezo actuators
  20. Das Alltagsmedium Blatt
  21. Introduction
  22. Taking stock–Three years of addressing societal challenges on community level through action research
  23. Experimental and numerical analysis of material flow in porthole die extrusion
  24. Number theoretical peculiarities in the dimension theory of dynamical systems
  25. The Lotka-Volterra Model for Competition Controlled by a Sliding Mode Approach
  26. Bis in den Kern
  27. endo-Hydroxy-trioxa-tris-σ-homotropilidene
  28. The edge of virtual communities ?
  29. Parameters identification in a permanent magnet three-phase synchronous motor for velocity planning to optimize traction losses in a City-Bus
  30. Case Study
  31. Einschreibung
  32. Migration in der Adoleszenz
  33. Using Large N Longitudinal Comparison to Explain Political Recruitment in Changing Democracies