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Title: Mandala-inspired representation of the turbulent energy cascade

Journal Article · · Physical Review Fluids

Understanding the cascading process of turbulent kinetic energy from large-scale fluid motions to small-scale and lesser-scale fluid motions is critical to modeling strategies for geophysical and industrial flows. The phenomenological explanation of the transfer of energy across scales was introduced in the classical paper by Kolmogorov [1], but the concept of a turbulent cascade in terms of interactions among eddies was proposed earlier by Richardson [2] and later by Obukhov [3]. Since then, many detailed investigations, mostly in isotropic turbulence, have greatly advanced our understanding of high-Reynolds-number turbulent flows.

Research Organization:
Stanford Univ., CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
107908; AC02-76SF00515
OSTI ID:
1478566
Alternate ID(s):
OSTI ID: 1629722
Journal Information:
Physical Review Fluids, Journal Name: Physical Review Fluids Vol. 3 Journal Issue: 10; ISSN 2469-990X
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

References (9)

Wavelet Transforms and their Applications to Turbulence journal January 1992
Wavelet analysis of turbulence reveals the multifractal nature of the Richardson cascade journal March 1989
Hierarchy of antiparallel vortex tubes in spatially periodic turbulence at high Reynolds numbers journal June 2017
Energy spectrum in high-resolution direct numerical simulations of turbulence journal December 2016
Time-resolved evolution of coherent structures in turbulent channels: characterization of eddies and cascades journal October 2014
Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape journal July 1984
Multiscale analysis of the topological invariants in the logarithmic region of turbulent channels at a friction Reynolds number of 932 journal August 2016
Wavelet Methods in Computational Fluid Dynamics journal January 2010
The turbulent cascade in five dimensions journal August 2017

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