Largeeddy simulation of magnetohydrodynamic turbulence in compressible fluid
Abstract
In the present article, the large eddy simulation (LES) technique for the study of compressible magnetohydrodynamic turbulence is developed. The filtered equations of magnetohydrodynamics of compressible fluid are obtained with the use of a massweighted filtering procedure (Favre filtering). Favrefiltered equations for largescale components of turbulence include subgridscale terms describing subgrid phenomena. Different models for closure of subgrid terms are suggested. In this work numerical simulation of filtered magnetohydrodynamic equations and an analysis of the received characteristics of turbulent flow is carried out. The obtained results of numerical computations for different LES models are compared with the results of direct numerical simulation.
 Authors:
 Theoretical Section, Space Research Institute of Russian Academy of Sciences, Profsoyuznaya 84/32, 117997, Moscow (Russian Federation)
 Publication Date:
 OSTI Identifier:
 20782547
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 13; Journal Issue: 3; Other Information: DOI: 10.1063/1.2171705; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COMPRESSIBLE FLOW; COMPUTERIZED SIMULATION; EDDY CURRENTS; MAGNETOHYDRODYNAMICS; PLASMA SIMULATION; TURBULENCE; TURBULENT FLOW
Citation Formats
Chernyshov, A.A., Karelsky, K.V., and Petrosyan, A.S. Largeeddy simulation of magnetohydrodynamic turbulence in compressible fluid. United States: N. p., 2006.
Web. doi:10.1063/1.2171705.
Chernyshov, A.A., Karelsky, K.V., & Petrosyan, A.S. Largeeddy simulation of magnetohydrodynamic turbulence in compressible fluid. United States. doi:10.1063/1.2171705.
Chernyshov, A.A., Karelsky, K.V., and Petrosyan, A.S. Wed .
"Largeeddy simulation of magnetohydrodynamic turbulence in compressible fluid". United States.
doi:10.1063/1.2171705.
@article{osti_20782547,
title = {Largeeddy simulation of magnetohydrodynamic turbulence in compressible fluid},
author = {Chernyshov, A.A. and Karelsky, K.V. and Petrosyan, A.S.},
abstractNote = {In the present article, the large eddy simulation (LES) technique for the study of compressible magnetohydrodynamic turbulence is developed. The filtered equations of magnetohydrodynamics of compressible fluid are obtained with the use of a massweighted filtering procedure (Favre filtering). Favrefiltered equations for largescale components of turbulence include subgridscale terms describing subgrid phenomena. Different models for closure of subgrid terms are suggested. In this work numerical simulation of filtered magnetohydrodynamic equations and an analysis of the received characteristics of turbulent flow is carried out. The obtained results of numerical computations for different LES models are compared with the results of direct numerical simulation.},
doi = {10.1063/1.2171705},
journal = {Physics of Plasmas},
number = 3,
volume = 13,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}

We present the largeeddy simulation method for studying forced compressible magnetohydrodynamic turbulence. The proposed method is based on a solution of the filtered basic equations of magnetohydrodynamics by finitedifference methods and on a linear representation of the driving forces in the momentum conservation equation and the magnetic induction equation. These forces supply the production of kinetic and magnetic energies. The emphasis is placed upon the important, and not investigated, question about the ability of the largeeddy simulation approach to reproduce Kolmogorov and IroshnikovKraichnan scaleinvariant spectra in compressible magnetohydrodynamic flows.

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