Bulletin of the American Physical Society
71st Annual Meeting of the APS Division of Fluid Dynamics
Volume 63, Number 13
Sunday–Tuesday, November 18–20, 2018; Atlanta, Georgia
Session G01: Nonlinear Dynamics: Turbulence & Turbulent Transition
10:35 AM–12:32 PM,
Monday, November 19, 2018
Georgia World Congress Center
Room: B201
Chair: Daniel Borrero, Willamette University
Abstract ID: BAPS.2018.DFD.G01.3
Abstract: G01.00003 : Energy flux enhancement, intermittency and turbulence via Fourier triad phase dynamics in the 1-D Burgers equation*
11:01 AM–11:14 AM
Presenter:
Miguel D Bustamante
(University College Dublin)
Authors:
Miguel D Bustamante
(University College Dublin)
Brendan P Murray
(University College Dublin)
We present a theoretical and numerical study of Fourier space triad phase dynamics in 1-D stochastically forced Burgers equation at Reynolds number Re ≈ 2.7×104. We show that Fourier triad phases over the inertial range display a collective behaviour characterised by intermittent periods of synchronisation and alignment, reminiscent of Kuramoto model (1984) and directly related to shock collisions in physical space. These periods of synchronisation favour efficient energy fluxes across the inertial range towards small scales, resulting in strong bursts of dissipation and enhanced coherence of Fourier energy spectrum. The fast time scale of the onset of synchronisation relegates energy dynamics to a passive role: this is further examined using a reduced system where Fourier amplitudes are fixed in time -- a phase-only model. In it, we find intermittent triad phase dynamics without amplitude evolution and recover many features of the full Burgers system. Finally, for both full Burgers and phase-only systems the physical space velocity statistics reveal that triad phase alignment is directly related to the non-Gaussian statistics typically associated with structure-function intermittency in turbulent systems. Published in JFM 850, 624-645 (2018).
*Science Foundation Ireland 12/IP/1491
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.DFD.G01.3
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