2008/03/31 by Julien Baerenzung, J. Baerenzung, H. Politano +3
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Classical mechanics #Compressibility #Computational physics #Dynamo #Equipartition theorem #Fluid Dynamics and Turbulent Flows #Geomagnetism and Paleomagnetism Studies #Large eddy simulation #Magnetic field #Magnetohydrodynamic drive #Magnetohydrodynamic turbulence #Magnetohydrodynamics #Mechanics #Physics #Quantum mechanics #Solar and Space Plasma Dynamics #Statistical physics #Turbulence #Turbulence modeling #physics.flu-dyn #physics.plasm-ph
paper · pdf · doi:10.1103/physreve.78.026310
10 pages, 13 figures
arxiv created 2008/03/31 · openalex publication_date 2008/08/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.