Spectral modeling of magnetohydrodynamic turbulent flows

J. Baerenzung, H. Politano, Y. Ponty, and A. Pouquet
Phys. Rev. E 78, 026310 – Published 29 August 2008

Abstract

We present a dynamical spectral model for large-eddy simulation of the incompressible magnetohydrodynamic (MHD) equations based on the eddy damped quasinormal Markovian approximation. This model extends classical spectral large-eddy simulations for the Navier-Stokes equations to incorporate general (non-Kolmogorovian) spectra as well as eddy noise. We derive the model for MHD flows and show that the introduction of an eddy damping time for the dynamics of spectral tensors, in the absence of equipartition between the velocity and magnetic fields, leads to better agreement with direct numerical simulations, an important point for dynamo computations.

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  • Received 24 March 2008

DOI:https://doi.org/10.1103/PhysRevE.78.026310

©2008 American Physical Society

Authors & Affiliations

J. Baerenzung

  • TNT/NCAR, P.O. Box 3000, Boulder, Colorado 80307-3000, USA and Observatoire de la Côte d’Azur, Université de Nice–Sophia Antipolis, CNRS UMR 6202, Boîte Postale 4229, 06304 Nice Cedex 4, France

H. Politano and Y. Ponty

  • Observatoire de la Côte d’Azur, Université de Nice-Sophia Antipolis, CNRS UMR 6202, Boîte Postale 4229, 06304 Nice Cedex 4, France

A. Pouquet

  • TNT/NCAR, P.O. Box 3000, Boulder, Colorado 80307-3000, USA

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Issue

Vol. 78, Iss. 2 — August 2008

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