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The current understanding of astrophysical magnetic fields is reviewed with particular emphasis on nonlinear dynamo theory. Analytic and numerical results are discussed both for small scale dynamos,â€¦ (More)

Turbulence and chaos play a fundamental role in stellar convective zones through the transport of particles, energy and momentum, and in fast dynamos, through the stretching, twisting and folding ofâ€¦ (More)

The validity of a closure called the minimal tau approximation (MTA), is tested in the context of dynamo theory, wherein triple correlations are assumed to provide relaxation of the turbulentâ€¦ (More)

Direct and large eddy simulations of hydrodynamic and hydromagnetic turbulence have been performed in an attempt to isolate artifacts from real and possibly asymptotic features in the energy spectra.â€¦ (More)

Several one and two dimensional mean field models are analyzed where the effects of current helicity fluxes and boundaries are included within the framework of the dynamical quenching model. Inâ€¦ (More)

- Axel Brandenburg
- 2001

The theory of large scale dynamos is reviewed with particular emphasis on the magnetic helicity constraint in the presence of closed and open boundaries. In the presence of closed or periodicâ€¦ (More)

- Nils Erland L. Haugen, Axel Brandenburg, Wolfgang Dobler
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2004

Nonhelical hydromagnetic forced turbulence is investigated using large scale simulations on up to 256 processors and 1024(3) mesh points. The magnetic Prandtl number is varied between 1/8 and 30,â€¦ (More)

- Wolfgang Dobler, Nils Erland L. Haugen, Tarek A Yousef, Axel Brandenburg
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

At numerical resolutions around 512(3) and above, three-dimensional energy spectra from turbulence simulations begin to show noticeably shallower spectra than k(-5/3) near the dissipation wave numberâ€¦ (More)

Various approaches to estimate turbulent transport coefficients from numerical simulations of hydromagnetic turbulence are discussed. A quantitative comparison between the averaged magnetic fieldâ€¦ (More)

- Axel Brandenburg
- 2000

A numerical model of isotropic homogeneous turbulence with helical forcing is investigated. The resulting flow, which is essentially the prototype of the Î± dynamo of mean-field dynamo theory,â€¦ (More)