Low magnetic Prandtl number dynamos with helical forcing
arXiv:physics/0505192 · doi:10.1103/PhysRevE.72.056320
Abstract
We present direct numerical simulations of dynamo action in a forced Roberts flow. The behavior of the dynamo is followed as the mechanical Reynolds number is increased, starting from the laminar case until a turbulent regime is reached. The critical magnetic Reynolds for dynamo action is found, and in the turbulent flow it is observed to be nearly independent on the magnetic Prandtl number in the range from 0.3 to 0.1. Also the dependence of this threshold with the amount of mechanical helicity in the flow is studied. For the different regimes found, the configuration of the magnetic and velocity fields in the saturated steady state are discussed.
9 pages, 14 figures
References in corpus (6)
- Shell to shell energy transfer in MHD, Part I: steady state turbulence
- Numerical study of dynamo action at low magnetic Prandtl numbers
- The onset of a small-scale turbulent dynamo at low magnetic Prandtl numbers
- Shell to shell energy transfer in MHD, Part II: Kinematic dynamo
- Simulation of induction at low magnetic Prandtl number
- Numerical solutions of the three-dimensional magnetohydrodynamic alpha-model
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- Energy transfers and magnetic energy growth in small-scale dynamo
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- Inverse cascades and alpha-effect at low magnetic Prandtl number
- Hydrodynamic and magnetohydrodynamic computations inside a rotating sphere
- Magnetohydrodynamic activity inside a sphere
- Transition from large-scale to small-scale dynamo
- Dynamo enhancement and mode selection triggered by high magnetic permeability
- Sustained Turbulence in Differentially Rotating Magnetized Fluids at Low Magnetic Prandtl Number
- Scaling of Turbulent Viscosity and Resistivity: Extracting a Scale-dependent Turbulent Magnetic Prandtl Number