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Open AccessArticle

Impact of Micro-Scale Stochastic Zonal Flows on the Macro-Scale Visco-Resistive Magnetohydrodynamic Modes

1
Laboratory for Plasma Physics - LPP-ERM/KMS, Royal Military Academy, 1000 Brussels, Belgium
2
Astrophysics Group, Department of Physics, University of Bristol, Bristol BS8 1TL, UK
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(3), 443; https://doi.org/10.3390/math8030443 (registering DOI)
Received: 5 February 2020 / Revised: 9 March 2020 / Accepted: 13 March 2020 / Published: 18 March 2020
(This article belongs to the Special Issue Turbulence Modeling)
A model is developed to simulate micro-scale turbulence driven Zonal Flows (ZFs), and their impact on the Magnetohydrodynamic (MHD) tearing and kink modes is examined. The model is based on a stochastic representation of the micro-scale ZFs with a given Alfvén Mach number, MS. Two approaches were explored: (i) passive stochastic model where the ZFs amplitudes are independent of the MHD mode amplitude, and (ii) the semi-stochastic model where the amplitudes of the ZFs have a dependence on the amplitude of the MHD mode itself. The results show that the stochastic ZFs can significantly stabilise the (2,1) and (1,1) MHD modes even at very low kinematic viscosity, where the mode is linearly unstable. Our results therefore indicate a possible mechanism for stabilisation of the MHD modes via small-scale perturbations in poloidal flow, simulating the turbulence driven ZFs. View Full-Text
Keywords: turbulence; MHD; Plasma turbulence; MHD; Plasma
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Moradi, S.; Thyagaraja, A. Impact of Micro-Scale Stochastic Zonal Flows on the Macro-Scale Visco-Resistive Magnetohydrodynamic Modes. Mathematics 2020, 8, 443.

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