Karhunen-Loéve decomposition of high Reynolds number turbulent pipe flows: A Voronoi analysis

Massaro D, Yao J, Rezaeiravesh S, Hussain F, Schlatter P (2024)

Publication Type: Conference contribution

Publication year: 2024

Publisher: Institute of Physics

Book Volume: 2753

Conference Proceedings Title: Journal of Physics: Conference Series

Event location: Madrid, ESP

DOI: 10.1088/1742-6596/2753/1/012018

Abstract

We perform the Karhunen-Loéve decomposition of the data from direct numerical simulations pertaining to incompressible turbulent pipe flow at various Reynolds numbers, in order to identify large-scale coherent structures. A novel approach based on the Voronoi diagram is introduced to estimate the energy distribution along the radial direction as a function of the geometrical properties of the modes. In contrast to previous classifications, no user-defined criterion, threshold or ad-hoc separation of the eddies is required since the two most energetic branches are inherently present as the Reynolds number increases. Details about the Voronoi analysis are provided, together with a comprehensive validation and comparison with previous classifications at low Reynolds numbers. We discuss the results and potential of the presented approach at Reτ = 180 and 5200, commenting on the two classes of coherent structures with a varying and constant size in the radial direction appearing at Reτ = 5200.

Involved external institutions

Royal Institute of Technology / Kungliga Tekniska Högskolan (KTH) SE Sweden (SE) Beijing Institute of Technology (BIT) / 北京理工大学 CN China (CN) University of Manchester GB United Kingdom (GB) Texas Tech University (TTU) US United States (USA) (US)

How to cite

APA:

Massaro, D., Yao, J., Rezaeiravesh, S., Hussain, F., & Schlatter, P. (2024). Karhunen-Loéve decomposition of high Reynolds number turbulent pipe flows: A Voronoi analysis. In Javier Jimenez (Eds.), Journal of Physics: Conference Series. Madrid, ESP: Institute of Physics.

MLA:

Massaro, D., et al. "Karhunen-Loéve decomposition of high Reynolds number turbulent pipe flows: A Voronoi analysis." Proceedings of the 5th Madrid Summer School on Turbulence Workshop, Madrid, ESP Ed. Javier Jimenez, Institute of Physics, 2024.

BibTeX: Download