Turbulent transport in hydromagnetic flows
A. Brandenburg (1,2), P. Chatterjee (1), F. Del Sordo (1,2), A., Hubbard (1), P. J. K\"apyl\"a (1,3), M. Rheinhardt (1) ((1) NORDITA, (2), Stockholm University, (3) University of Helsinki)

TL;DR
This paper evaluates the effectiveness of mean-field theory in modeling turbulent transport in hydromagnetic flows by using the test-field method to extract transport coefficients from simulations, including nonlinear cases.
Contribution
It introduces the application of the test-field method to both kinematic and nonlinear turbulent flows, providing new insights into magnetic buoyancy-driven flows.
Findings
Successful extraction of turbulent transport coefficients using the test-field method.
Identification of alpha effect and turbulent diffusion in magnetic buoyancy-driven flows.
Validation of mean-field theory predictions against controlled simulations.
Abstract
The predictive power of mean-field theory is emphasized by comparing theory with simulations under controlled conditions. The recently developed test-field method is used to extract turbulent transport coefficients both in kinematic as well as nonlinear and quasi-kinematic cases. A striking example of the quasi-kinematic method is provided by magnetic buoyancy-driven flows that produce an alpha effect and turbulent diffusion.
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