Spectral Modeling of Magnetohydrodynamic Turbulent Flows
arXiv:0803.4499 · doi:10.1103/PhysRevE.78.026310
Abstract
We present a dynamical spectral model for Large Eddy Simulation of the incompressible magnetohydrodynamic (MHD) equations based on the Eddy Damped Quasi Normal 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 and show that introducing a new 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.
10 pages, 13 figures
References in corpus (11)
- A weak turbulence theory for incompressible MHD
- Simulations of Incompressible MHD Turbulence
- Generation of magnetic field by dynamo action in a turbulent flow of liquid sodium
- Shell to shell energy transfer in MHD, Part I: steady state turbulence
- Spectral energy dynamics in magnetohydrodynamic turbulence
- Numerical study of dynamo action at low magnetic Prandtl numbers
- Shell to shell energy transfer in MHD, Part II: Kinematic dynamo
- Rapid directional alignment of velocity and magnetic field in magnetohydrodynamic turbulence
- Simulation of induction at low magnetic Prandtl number
- Energy spectra stemming from interactions of Alfven waves and turbulent eddies
- Spectral Modeling of Turbulent Flows and the Role of Helicity
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- Systematics of the magnetic-Prandtl-number dependence of homogeneous, isotropic magnetohydrodynamic turbulence
- A new class of finite element variational multiscale turbulence models for incompressible magnetohydrodynamics
- Magnetic reversals in a simple model of MHD
- Bayesian inversion for the filtered flow at the Earth's Core Mantle Boundary
- The Lagrangian-averaged model for magnetohydrodynamics turbulence and the absence of bottleneck
- The effect of subfilter-scale physics on regularization models
- The role of field correlations on turbulent dissipation
- Modeling of anisotropic turbulent flows with either magnetic fields or imposed rotation
- Critical transition to a non-chaotic regime in isotropic turbulence