Bulletin of the American Physical Society
74th Annual Meeting of the APS Division of Fluid Dynamics
Volume 66, Number 17
Sunday–Tuesday, November 21–23, 2021; Phoenix Convention Center, Phoenix, Arizona
Session P04: Turbulence Theory
4:05 PM–6:28 PM,
Monday, November 22, 2021
Room: North 121 B
Chair: Robert Moser, UT Austin
Abstract: P04.00011 : Exact decomposition of energy and helicity fluxes in (magneto-)hydrodynamic turbulence*
6:15 PM–6:28 PM
Presenter:
Moritz F Linkmann
(Univ of Edinburgh)
Authors:
Moritz F Linkmann
(Univ of Edinburgh)
Perry L Johnson
(University of California, Irvine)
Sean Oughton
(University of Waikato, Hamilton, New Zealand)
Luca Biferale
(University of Rome Tor Vergata)
Here, we extend the formalism to general, including coupled, advection-diffusion equations. The resulting flux decompositions can thus be readily applied to problems involving the dynamics of active and passive scalars and vectors. Here we use the method to calculate (a) kinetic helicity fluxes for homogeneous and isotropic turbulence, (b) magnetic and kinetic energy fluxes, and cross- and magnetic helicity fluxes for homogeneous magnetohydrodynamic (MHD) turbulence in two and three dimensions. The aim is to disentangle and quantify the relative contributions of vortex stretching by vorticity gradients and strain-vorticity coupling to the kinetic helicity cascade and similarly for the corresponding quantities in MHD.
*This work received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No 882340) and from the Priority Programme SPP 1881 "Turbulent Superstructures" of the Deutsche Forschungsgemeinschaft (DFG, grant number Li3694/1).
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