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Energy budget in decaying compressible MHD turbulence

Published online by Cambridge University Press:  06 April 2021

Yan Yang ,
Minping Wan Open the ORCID record for Minping Wan [Opens in a new window] ,
William H. Matthaeus Open the ORCID record for William H. Matthaeus [Opens in a new window]  and
Shiyi Chen
Yan Yang
Affiliation:
Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Southern University of Science and Technology, Shenzhen 518055, PR China Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, PR China University of Science and Technology of China, Hefei 230026, PR China
Minping Wan*
Affiliation:
Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Southern University of Science and Technology, Shenzhen 518055, PR China Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, PR China Southern Marine Science and Engineering Guangdong Laboratory (Guangzhou), Guangzhou 511458, PR China
William H. Matthaeus
Affiliation:
University of Delaware, Newark, DE 19716, USA
Shiyi Chen
Affiliation:
Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Southern University of Science and Technology, Shenzhen 518055, PR China Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, PR China Southern Marine Science and Engineering Guangdong Laboratory (Guangzhou), Guangzhou 511458, PR China
*
†Email address for correspondence: wanmp@sustech.edu.cn
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Abstract

We study the decay of compressible magnetohydrodynamic (MHD) turbulence, emphasizing exchanges of energy between compressive and incompressive kinetic energies, magnetic energy, and thermal energy. A recently developed high order finite difference code is employed for compressible runs with a Mach number up to 2. Varying the nature of the initial conditions (magnitudes of velocity and magnetic fluctuations), and initial Mach numbers permits examination of various dynamical regimes characterized here by the changes between different energy reservoirs. Acoustic waves are responsible for the oscillatory exchange between compressive kinetic and thermal energy through the pressure dilatation term. The results indicate that exchange between kinetic and magnetic energy is dominated by interactions involving the solenoidal velocity. Several systematic rapid adjustments are found to be reproducible with simple scalings derived from the empirical data.

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MHD and Electrohydrodynamics: MHD turbulence Turbulent Flows: Compressible turbulence Turbulent Flows: Turbulence theory

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Journal of Fluid Mechanics , Volume 916 , 10 June 2021 , A4
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© The Author(s), 2021. Published by Cambridge University Press

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References

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