Computer Science
Scientific paper
Nov 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984esasp.220...97h&link_type=abstract
In ESA The Hydromagnetics of the Sun p 97-100 (SEE N85-25091 14-92)
Computer Science
1
Differential Equations, Dynamo Theory, Kinematic Equations, Magnetohydrodynamic Flow, Stochastic Processes, Advection, Flow Velocity, High Reynolds Number, Incompressible Flow, Magnetic Induction
Scientific paper
Arbitrary, incompressible mean flow (vo) in kinematic dynamo theory is analyzed via stochastic differential equations. When the first order smoothing approximation is made the only effect of a nonzero vo is that in the definition of the tensors the turbulent velocity v is replaced by the effect of passive advection by vo. Dynamo action depends only on velocity correlations measured in a frame comoving with and distorted by the mean flow through passive advection. Conclusions apply when the analysis is extended to arbitrary order, relevant for a long correlation time. The result admits straightforward evaluation for given model mean flows. The shear in vo causes a (kinematic) anisotropy in the tensors. This can be a large effect, which comes on top of the intrinsic (dynamical) anisotropy in the velocity correlation functions. Conditions for applicability are very large magnetic Reynolds number; incompressible flows; stationary vo; and correlation time period of the dynamo.
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